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Comic Sans MS";
 font-size:73%;color:red'>V. Translog Models</span></div>
 <div v:shape=3D"_x0000_s4099">
 <div class=3DB1 style=3D'mso-margin-left-alt:624'></div>
 <div class=3DB2 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DB3 style=3D'mso-margin-left-alt:1104'></div>
 <div class=3DB4 style=3D'mso-margin-left-alt:1392'></div>
 <div class=3DB style=3D'mso-margin-left-alt:384;position:absolute;top:23.2=
5%;
 left:5.99%;width:89.13%;height:7.5%'><span style=3D'position:absolute;
 top:0%;left:7.56%;width:92.43%;height:100.0%'><span style=3D'font-family:"=
Comic Sans MS";
 font-size:88%;color:#333399;mso-color-index:5'><span style=3D'mso-special-f=
ormat:
 "numbullet1\,1";position:absolute;left:-8.18%'>A.</span></span><span
 style=3D'font-family:"Comic Sans MS";font-size:88%;color:#333399;mso-color=
-index:
 5'>Cost function in production economics&#13;</span></span></div>
 <div class=3DB style=3D'mso-margin-left-alt:384;position:absolute;top:30.7=
5%;
 left:5.99%;width:88.2%;height:7.5%'><span style=3D'mso-special-format:nobu=
llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
 font-size:88%;color:#333399;mso-color-index:5'><span style=3D'mso-tab-coun=
t:
 2;width:11.33%'> </span>Capalbo, </span><span style=3D'font-family:"Comic =
Sans MS";
 font-size:88%;color:#333399;mso-color-index:5'><i>WJAE&#13;</i></span></di=
v>
 <div class=3DB style=3D'mso-margin-left-alt:384;position:absolute;top:38.2=
5%;
 left:5.99%;width:88.2%;height:7.5%'><span style=3D'mso-special-format:nobu=
llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
 font-size:88%;color:#333399;mso-color-index:5'>1. The model for n-inputs a=
nd
 m-outputs&#13;</span></div>
 <div class=3DB style=3D'mso-margin-left-alt:384;position:absolute;top:45.7=
5%;
 left:5.99%;width:88.2%;height:7.5%'><span style=3D'mso-special-format:nobu=
llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
 font-size:88%;color:#333399;mso-color-index:5;display:none'>&#13;</span></=
div>
 <div class=3DB style=3D'mso-margin-left-alt:384;position:absolute;top:53.2=
5%;
 left:5.99%;width:88.2%;height:7.5%'><span style=3D'mso-special-format:nobu=
llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
 font-size:88%;color:#333399;mso-color-index:5;mso-special-format:lastCR;
 display:none'>&#13;</span></div>
 </div>
 <div v:shape=3D"_x0000_s4100" class=3DO>
 <div style=3D'position:absolute;top:46.75%;left:13.48%;width:83.33%;height=
:5.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'>lnC =3D &#9=
45;</span><span
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:red;position:rela=
tive;
 top:.37em;mso-text-raise:-25%'>0</span><span style=3D'font-family:"Comic S=
ans MS";
 font-size:111%;color:red'><span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;
 </span>+<span style=3D'mso-spacerun:yes'>&nbsp; </span>&#931;&#945;</span>=
<span
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:red;position:rela=
tive;
 top:.37em;mso-text-raise:-25%'>i</span><span style=3D'font-family:"Comic S=
ans MS";
 font-size:111%;color:red'>lnr</span><span style=3D'font-family:"Comic Sans=
 MS";
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</span><span
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pan
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</span><span
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#963;</span><span
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tive;
 top:.37em;mso-text-raise:-25%'>k</span><span style=3D'font-family:"Comic S=
ans MS";
 font-size:111%;color:red'>lny</span><span style=3D'font-family:"Comic Sans=
 MS";
 font-size:74%;color:red;position:relative;top:.37em;mso-text-raise:-25%'>k=
</span><span
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;&nbsp;&nbsp;&nbsp;
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4%;
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n></div>
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:5.5%'><span
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'>&#13;</span></div>
 <div style=3D'position:absolute;top:55.75%;left:13.48%;width:91.19%;height=
:5.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'><span
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 &frac12;&#931;&#945;</span><span style=3D'font-family:"Comic Sans MS";
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j</span><span
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span
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tive;
 top:.37em;mso-text-raise:-25%'>i</span><span style=3D'font-family:"Comic S=
ans MS";
 font-size:111%;color:red'>lnr</span><span style=3D'font-family:"Comic Sans=
 MS";
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</span><span
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 style=3D'mso-spacerun:yes'>&nbsp;</span>+ &#931;</span> <span lang=3DEL
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n><span
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:red;position:rela=
tive;
 top:.37em;mso-text-raise:-25%'>k1</span><span style=3D'font-family:"Comic =
Sans MS";
 font-size:111%;color:red'>lny</span><span style=3D'font-family:"Comic Sans=
 MS";
 font-size:74%;color:red;position:relative;top:.37em;mso-text-raise:-25%'>k=
</span><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'>lnr</span><=
span
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tive;
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Sans MS";
 font-size:111%;color:red'>+&#8230;+ &#931;</span> <span lang=3DEL
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'>&#946;</spa=
n><span
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:red;position:rela=
tive;
 top:.37em;mso-text-raise:-25%'>kn</span><span style=3D'font-family:"Comic =
Sans MS";
 font-size:111%;color:red'>lny</span><span style=3D'font-family:"Comic Sans=
 MS";
 font-size:74%;color:red;position:relative;top:.37em;mso-text-raise:-25%'>k=
</span><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'>lnr</span><=
span
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:red;position:rela=
tive;
 top:.37em;mso-text-raise:-25%'>n</span><span style=3D'font-family:"Comic S=
ans MS";
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span
 style=3D'mso-spacerun:yes'>&nbsp; </span>&#931;&#945;</span><span
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:red;position:rela=
tive;
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Sans MS";
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</span><span
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n></div>
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5.5%'><span
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'>&#13;</span></div>
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5.5%'><span
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 style=3D'mso-tab-count:2;width:23.57%'> </span><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
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 color:red;position:relative;top:.37em;mso-text-raise:-25%'> </span><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'>+ &frac12;
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1%'> </span><span
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#963;</span><span
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tive;
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Sans MS";
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 MS";
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</span><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'>lny</span><=
span
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tive;
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ans MS";
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 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span>&#931;</span><s=
pan
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#963;</span><span
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tive;
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Sans MS";
 font-size:111%;color:red'>lny</span><span style=3D'font-family:"Comic Sans=
 MS";
 font-size:74%;color:red;position:relative;top:.37em;mso-text-raise:-25%'>k=
</span><span
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n></div>
 <div style=3D'position:absolute;top:69.0%;left:13.48%;width:81.46%;height:=
5.5%'><span
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'>&#13;</span></div>
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5.5%'><span
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 style=3D'mso-tab-count:3;width:36.74%'> </span><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&n=
bsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>+<span style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 </span>&frac12;&#945;</span><span style=3D'font-family:"Comic Sans MS";
 font-size:74%;color:red;position:relative;top:.37em;mso-text-raise:-25%'>t=
t</span><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'>t</span><sp=
an
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:red;position:rela=
tive;
 top:-.45em;mso-text-raise:30%'>2</span><span style=3D'font-family:"Comic S=
ans MS";
 font-size:111%;color:red;display:none'>&#13;</span></div>
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5.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red;display:none=
'>&#13;</span></div>
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:5.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:111%;color:red'><span
 style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp;
 </span></span><span style=3D'font-family:"Comic Sans MS";font-size:111%;
 color:#009999;mso-color-index:6'>with &#945;</span><span style=3D'font-fam=
ily:
 "Comic Sans MS";font-size:74%;color:#009999;mso-color-index:6;position:rel=
ative;
 top:.37em;mso-text-raise:-25%'>ij</span><span style=3D'font-family:"Comic =
Sans MS";
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 style=3D'mso-spacerun:yes'>&nbsp;</span>=3D &#945;</span><span style=3D'fo=
nt-family:
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ative;
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Sans MS";
 font-size:111%;color:#009999;mso-color-index:6'><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>and </span><span lang=3DEL
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r-index:
 6'>&#963;</span><span style=3D'font-family:"Comic Sans MS";font-size:74%;
 color:#009999;mso-color-index:6;position:relative;top:.37em;mso-text-raise:
 -25%'>kl</span><span style=3D'font-family:"Comic Sans MS";font-size:111%;
 color:#009999;mso-color-index:6'><span style=3D'mso-spacerun:yes'>&nbsp;</=
span>=3D
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Comic Sans MS";
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 mso-text-raise:-25%'>lk</span><span style=3D'font-family:"Comic Sans MS";
 font-size:111%;color:#009999;mso-color-index:6'><span
 style=3D'mso-spacerun:yes'>&nbsp; </span>for symmetry</span><span
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:#009999;mso-color=
-index:
 6;position:relative;top:.37em;mso-text-raise:-25%;display:none'>&#13;</spa=
n></div>
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3.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:74%;color:#009999;mso-color=
-index:
 6;position:relative;top:-.45em;mso-text-raise:30%;mso-special-format:lastC=
R;
 display:none'>&#13;</span></div>
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s MS";
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t:
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tion</u></span><span
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><span
 style=3D'font-family:"Comic Sans MS";font-size:75%;color:red'>of the </spa=
n><span
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 equations</u></span><span style=3D'font-family:"Comic Sans MS";font-size:7=
5%;
 color:red'> for inputs, and the m </span></span><span style=3D'position:ab=
solute;
 top:32.0%;left:9.73%;width:88.57%;height:6.5%'><span style=3D'font-family:=
"Comic Sans MS";
 font-size:75%;color:red'><u>revenue share equations</u></span><span
 style=3D'font-family:"Comic Sans MS";font-size:75%;color:red'> for outputs=
 using
 SUR.&#13;</span></span></div>
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 left:5.99%;width:88.2%;height:6.5%'><span style=3D'mso-special-format:nobu=
llet;
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 font-size:75%;color:red;display:none'>&#13;</span></div>
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s MS";
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an>It
 is necessary to </span><span style=3D'font-family:"Comic Sans MS";font-siz=
e:
 75%;color:red'><u>omit one of the cost share </u></span></span><span
 style=3D'position:absolute;top:48.5%;left:9.73%;width:88.95%;height:6.5%'>=
<span
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 because they sum to one and create a </u></span></span><span style=3D'posi=
tion:
 absolute;top:53.25%;left:9.73%;width:100.37%;height:6.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:75%;color:red'><u>singulari=
ty in
 the error covariance matrix</u></span><span style=3D'font-family:"Comic Sa=
ns MS";
 font-size:75%;color:red'> such that it </span></span><span style=3D'positi=
on:
 absolute;top:57.99%;left:9.73%;width:84.45%;height:6.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:75%;color:red'>cannot be in=
verted
 for GLS/SUR estimation.<span style=3D'mso-spacerun:yes'>&nbsp; </span></sp=
an></span><span
 style=3D'position:absolute;top:62.74%;left:9.73%;width:100.0%;height:6.5%'=
><span
 style=3D'font-family:"Comic Sans MS";font-size:75%;color:red'>Fortunately,=
 SUR
 is typically MLE, and </span><span style=3D'font-family:"Comic Sans MS";
 font-size:75%;color:red'><u>the parameter </u></span></span><span
 style=3D'position:absolute;top:67.75%;left:9.73%;width:94.56%;height:6.5%'=
><span
 style=3D'font-family:"Comic Sans MS";font-size:75%;color:red'><u>estimates=
 are
 invariant to which share equation we </u></span></span><span style=3D'posi=
tion:
 absolute;top:72.5%;left:9.73%;width:101.12%;height:6.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:75%;color:red'><u>omit</u><=
/span><span
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 equation&#8217;s parameters </span></span><span style=3D'position:absolute;
 top:77.25%;left:9.73%;width:99.62%;height:6.5%'><span style=3D'font-family=
:"Comic Sans MS";
 font-size:75%;color:red'>can be retrieved from the model restrictions and =
the </span></span><span
 style=3D'position:absolute;top:82.0%;left:9.73%;width:84.45%;height:6.5%'>=
<span
 style=3D'font-family:"Comic Sans MS";font-size:75%;color:red'>cost functio=
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 font-size:71%;color:red'><span style=3D'mso-tab-count:1;width:3.74%'> </sp=
an></span><span
 style=3D'font-family:"Comic Sans MS";color:red'>In terms of the translog m=
odel
 parameters:&#13;</span></div>
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5.99%;
 width:88.2%;height:7.5%'><span style=3D'mso-special-format:nobullet;displa=
y:
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llet;
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 left:5.99%;width:88.2%;height:7.5%'><span style=3D'mso-special-format:nobu=
llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
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5.99%;
 width:88.2%;height:7.5%'><span style=3D'mso-special-format:nobullet;displa=
y:
 none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";color:red;
 display:none'>&#13;</span></div>
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5.99%;
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y:
 none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";color:red;
 display:none'>&#13;</span></div>
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 left:5.99%;width:88.2%;height:7.5%'><span style=3D'mso-special-format:nobu=
llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
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5.99%;
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y:
 none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";color:red;
 display:none'>&#13;</span></div>
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-format:
 nobullet;display:none'>&#8226;</span><span style=3D'font-family:"Comic San=
s MS";
 color:red'><span style=3D'mso-tab-count:1;width:3.64%'> </span>Output
 elasticities of demand can be derived </span></span><span style=3D'positio=
n:
 absolute;top:72.0%;left:9.73%;width:84.45%;height:7.5%'><span
 style=3D'font-family:"Comic Sans MS";color:red'>similarly.&#13;</span></sp=
an></div>
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 <div class=3DHB3 style=3D'mso-margin-left-alt:1104'></div>
 <div class=3DHB4 style=3D'mso-margin-left-alt:1392'></div>
 <div class=3DHB style=3D'mso-margin-left-alt:384;position:absolute;top:8.7=
5%;
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llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
 font-size:86%;color:#333399;mso-color-index:5'>B. Utility Function&#13;</s=
pan></div>
 <div class=3DHB style=3D'mso-margin-left-alt:384'><span style=3D'position:=
absolute;
 top:15.25%;left:5.99%;width:97.56%;height:6.5%'><span style=3D'mso-special=
-format:
 nobullet;display:none'>&#8226;</span><span style=3D'font-family:"Comic San=
s MS";
 font-size:86%;color:#333399;mso-color-index:5'><span style=3D'mso-tab-coun=
t:
 1;width:6.83%'> </span></span><span style=3D'font-family:"Comic Sans MS";
 font-size:71%;color:red'>Read: Christensen, Jorgensen, and Lau, <span
 style=3D'mso-tab-count:1;width:2.04%'> </span>&#8220;Transcendental </span=
></span><span
 style=3D'position:absolute;top:20.75%;left:12.73%;width:96.81%;height:5.5%=
'><span
 style=3D'font-family:"Comic Sans MS";font-size:71%;color:red'><span
 style=3D'mso-tab-count:2;width:13.77%'> </span>Logarithmic Utility
 Functions,&#8221; </span><span style=3D'font-family:"Comic Sans MS";font-s=
ize:
 71%;color:red'><i>AER</i></span><span style=3D'font-family:"Comic Sans MS";
 font-size:71%;color:red'>, 65(1975): 367-</span></span><span style=3D'posi=
tion:
 absolute;top:25.25%;left:12.73%;width:81.46%;height:5.5%'><span
 style=3D'font-family:"Comic Sans MS";font-size:71%;color:red'><span
 style=3D'mso-tab-count:2;width:16.36%'> </span>83.&#13;</span></span></div>
 <div class=3DHB style=3D'mso-margin-left-alt:384'><span style=3D'position:=
absolute;
 top:30.5%;left:5.99%;width:97.94%;height:6.5%'><span style=3D'mso-special-=
format:
 nobullet;display:none'>&#8226;</span><span style=3D'font-family:"Comic San=
s MS";
 font-size:71%;color:#333399;mso-color-index:5'><span style=3D'mso-tab-coun=
t:
 1;width:6.8%'> </span></span><span style=3D'font-family:"Comic Sans MS";
 font-size:86%;color:#333399;mso-color-index:5'>CJL examine both the direct=
 and
 indirect utility </span></span><span style=3D'position:absolute;top:35.75%;
 left:12.73%;width:86.51%;height:6.5%'><span style=3D'font-family:"Comic Sa=
ns MS";
 font-size:86%;color:#333399;mso-color-index:5'>specification, but we will
 focus on the indirect </span></span><span style=3D'position:absolute;top:4=
1.25%;
 left:12.73%;width:81.46%;height:6.5%'><span style=3D'font-family:"Comic Sa=
ns MS";
 font-size:86%;color:#333399;mso-color-index:5'>specification.&#13;</span><=
/span></div>
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5%;
 left:5.99%;width:88.2%;height:6.5%'><span style=3D'mso-special-format:nobu=
llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
 font-size:86%;color:#333399;mso-color-index:5;display:none'>&#13;</span></=
div>
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0%;
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%;
 left:7.64%;width:92.35%;height:100.0%'><span style=3D'font-family:"Comic S=
ans MS";
 font-size:86%;color:#333399;mso-color-index:5'><span style=3D'mso-special-=
format:
 "numbullet3\,1";position:absolute;left:-8.27%'>1.</span></span><span
 style=3D'font-family:"Comic Sans MS";font-size:86%;color:#333399;mso-color=
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 5'>Model (note homogeneity by normalization)&#13;</span></span></div>
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25%;
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llet;
 display:none'>&#8226;</span><span style=3D'font-family:"Comic Sans MS";
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1;</span></span><span
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R&#13;</span></span></div>
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14%;
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%;
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 left:-3.74%'>&#8211;</span></span><span style=3D'font-family:"Comic Sans M=
S";
 font-size:86%;color:red;display:none'>&#13;</span></span></div>
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52%;
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8%;
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1;</span></span><span
 style=3D'font-family:"Comic Sans MS";font-size:86%;color:red'>The system
 consists of n-1 share equations&#13;</span></span></div>
 <div class=3DB1 style=3D'position:absolute;top:50.24%;left:11.04%;width:83=
.14%;
 height:6.5%'><span style=3D'position:absolute;top:0%;left:3.6%;width:96.17=
%;
 height:100.0%'><span style=3D'font-family:"Comic Sans MS";font-size:86%;
 color:red;visibility:hidden'><span class=3DB1B style=3D'position:absolute;
 left:-3.74%'>&#8211;</span></span><span style=3D'font-family:"Comic Sans M=
S";
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size:
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#8211;</span></span><span
 style=3D'font-family:"Comic Sans MS";font-size:86%;color:red'>Notice that =
share
 equations are homogenous of </span></span><span style=3D'position:absolute;
 top:62.0%;left:14.04%;width:94.0%;height:6.5%'><span style=3D'font-family:=
"Comic Sans MS";
 font-size:86%;color:red'>degree zero in parameters.<span
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tive;
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y:
 "Comic Sans MS";font-size:86%;color:red'>to estimation.</span></span></div>
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------=_NextPart_01C5D2F6.FEA74510
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------=_NextPart_01C5D2F6.FEA74510
Content-Location: file:///C:/2EC7B2F9/PP9TranslogCostandUtility_files/script.js
Content-Transfer-Encoding: quoted-printable
Content-Type: application/javascript; charset="us-ascii"

function LoadSld()
{
	var sld=3DGetObj("SlideObj")
	if( !g_supportsPPTHTML ) {	=09
		sld.style.visibility=3D"visible"
		return
	}

	if( MakeNotesVis() ) return

	runAnimations =3D _InitAnimations();
=09
	if( IsWin("PPTSld") )
		parent.SldUpdated(GetSldId())
	g_origSz=3DparseInt(SlideObj.style.fontSize)
	g_origH=3Dsld.style.posHeight
	g_origW=3Dsld.style.posWidth
	g_scaleHyperlinks=3D(document.all.tags("AREA").length>0)
	if( g_scaleHyperlinks )
		InitHLinkArray()
	if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) )
		document.body.scroll=3D"no"
	_RSW()
	if( IsWin("PPTSld") && parent.IsFullScrMode() )
		FullScrInit();
=09
	MakeSldVis();
	ChkAutoAdv()

	if( runAnimations )
	{
		if( document.all("NSPlay") )
			document.all("NSPlay").autoStart =3D false;

		if( sld.filters && sld.filters.revealtrans )
			setTimeout( "document.body.start()", sld.filters.revealtrans.duration * =
1000 );
		else
			document.body.start();
	}
}

function MakeSldVis()=20
{
	var fTrans=3Dg_showAnimation && SldHasTrans()
	if( fTrans )=09
	{
		if( g_bgSound ) {
			idx=3Dg_bgSound.indexOf(",");
			pptSound.src=3Dg_bgSound.substr( 0, idx );
			pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1)));
		}
		SlideObj.filters.revealtrans.Apply()=09
    }
	SlideObj.style.visibility=3D"visible"
	if( fTrans )
		SlideObj.filters.revealtrans.Play()
}
function MakeNotesVis()=20
{
	if( !IsNts() ) return false=20
	SlideObj.style.display=3D"none"
	nObj =3D document.all.item("NotesObj")
	parent.SetHasNts(0)
	if( nObj ) {=20
		nObj.style.display=3D""
		parent.SetHasNts(1)
	}
	return 1
}
function ChkAutoAdv()
{
	if(SldHasTrans())
		SlideObj.onfilterchange=3DAutoAdv
	else
		AutoAdv()
}
function AutoAdv()
{
	if(!IsWin("PPTSld") || !gUseSldTimings )return
	var sld=3DGetCurSld()
	if( (sld.mAdvDelay>0) && !parent.IsFramesMode() )
		setTimeout("parent.GoToNextSld()",sld.mAdvDelay)
}
function GetObj(id)
{
	if(g_supportsPPTHTML) return document.all(id);
	else return document.getElementById(id);
}
function SldHasTrans() { return SlideObj.style.filter !=3D ""; }
function GetSldId()=20
{
	var regExp =3D /file:\/\/\//i
	var pos =3D location.href.search(regExp)
	if (MHTMLPrefix !=3D "" && pos !=3D -1)
		sId =3D location.href.substring(pos)
	else
	{
		sId =3D RemoveFilePrefixFromHref(location.href);
		var regExp =3D /\//
		var fixedHref =3D sId
		var pos =3D -1
=09
		pos =3D fixedHref.search(regExp)
		while (pos !=3D -1)
		{
			fixedHref =3D fixedHref.replace(regExp, "\\")
			pos =3D fixedHref.search(regExp)
		}
=09
		if (g_fBaseHyperlink =3D=3D true)
			sId =3D "file:///" + fixedHref;
		else
			sId =3D fixedHref.substring(fixedHref.lastIndexOf('\\') + 1)
	}
=09
	return sId
}
function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx=
tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl=
e.display=3D'none'; return true } return false }
function IsWin( name ) { return window.name =3D=3D name }
function IsNts() { return IsWin("PPTNts") }
function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }
function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"=
 && navigator.appVersion.indexOf("Windows")>0 ) }
function SupportsPPTHTML()
{
	var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0
	if( msie >=3D 0 )
		ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )
	else
		ver=3DparseInt(appVer)

	return( ver >=3D 4 && msie >=3D 0 )
}
function _RSW()
{
	if( !g_supportsPPTHTML || IsNts() ||
	  ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )
		return

        var padding=3D0;
        if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6

	cltWidth=3Ddocument.body.clientWidth-padding
	cltHeight=3Ddocument.body.clientHeight-padding
	factor=3D(1.0*cltWidth)/g_origW
	if( cltHeight < g_origH*factor )
		factor=3D(1.0*cltHeight)/g_origH

	newSize =3D g_origSz * factor
	if( newSize < 1 ) newSize=3D1

	s=3DSlideObj.style
	s.fontSize=3DnewSize+"px"
	s.posWidth=3Dg_origW*factor
	s.posHeight=3Dg_origH*factor
	s.posLeft=3D(cltWidth-s.posWidth+padding)/2
	s.posTop=3D(cltHeight-s.posHeight+padding)/2

	if( g_scaleHyperlinks )
		ScaleHyperlinks( factor )
}
function _InitAnimations()
{
	animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined';
	isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode();
	g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc=
reen && parent.IsSldVisited());
	if( g_animUseRuntime ) {
		collSeq =3D document.all.tags("seq");
		if( collSeq !=3D null ) {
			for(ii=3D0;ii<collSeq.length;ii++) {
				if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) {
					g_animMainSequence =3D collSeq[ii];
					break;
				}
			}
		}
=09
		if( g_animItemsToHide && document.body.playAnimations !=3D false ) {
			for(jj =3D 0; jj < g_animItemsToHide.length; jj++) {
				if( hideObj =3D GetObj(g_animItemsToHide[jj]) )
					hideObj.runtimeStyle.visibility=3D"hidden";
			}
		}

		if( g_animInteractiveItems ){
			for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) {
				if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) )
					triggerObj.runtimeStyle.cursor=3D"hand";
			}
		}
	=09
		if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) {
			adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=
e, g_animEffectTimings );
			if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) {
			   var sld =3D GetCurSld();
			   sld.mAdvDelay =3D adjustedTime * 1000;
			}
		}
	}

	return g_animUseRuntime;
}

gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D "";

function _KPH()
{=20
	if( IsNts() ) return;

	if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() )
		parent.window.close( self );
	else if( event.keyCode =3D=3D 32 ) {
		if( window.name =3D=3D "PPTSld" )
			parent.PPTSld.DocumentOnClick();
		else
			parent.GoToNextSld();
	}

	CatchNumKeys( parent, event );
}

function CatchNumKeys( win, event ) {
	if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) =
) {
		gSldJump =3D 1;
		gSldJumpIdx +=3D (event.keyCode-48).toString();
	}
	if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) {
		var numSlds =3D parent.GetSldList().mList.length
		if ( gSldJumpIdx > numSlds )
			gSldJumpIdx =3D numSlds;
		if ( gSldJumpIdx >=3D 0 ) {
			if ( gSldJumpIdx =3D=3D 0 )
				gSldJumpIdx =3D 1;
			var jumpTo =3D parseInt(gSldJumpIdx);
			gSldJump =3D 0; gSldJumpIdx =3D "";
			win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )
		}
	}
}

function _KDH()
{
	if( event.keyCode =3D=3D 8 ) {
		event.returnValue =3D 0;
		parent.GoToPrevSld();
	}
}
function DocumentOnClick()
{
	if( IsNts() || parent.HideMenu() ) return;
	if( ( g_allowAdvOnClick && !parent.IsFramesMode() ) ||
	    (event && (event.keyCode=3D=3D32) ) )
		parent.GoToNextSld();
}



var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=
, g_bgSound=3D"",
    g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser =
=3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;
var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=
indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=
r g_animManager =3D null;
var g_animUseRuntime =3D false;
var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
var g_animMainSequence =3D null;

var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=
es", gIsEndShow=3D0, NUM_VIS_SLDS=3D16, SCRIPT_HREF=3D"script.js", FULLSCR_=
HREF=3D"fullscreen.htm";
var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=
tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true
window.gPPTHTML=3DSupportsPPTHTML()
var g_fBaseHyperlink =3D false;
var gMainDoc=3Dnew Array(new hrefList("slide0002.htm",1,-1,1),new hrefList(=
"slide0003.htm",1,-1,1),new hrefList("slide0004.htm",1,-1,1),new hrefList("=
slide0005.htm",1,-1,1),new hrefList("slide0006.htm",1,-1,1),new hrefList("s=
lide0007.htm",1,-1,1),new hrefList("slide0008.htm",1,-1,1),new hrefList("sl=
ide0009.htm",1,-1,1),new hrefList("slide0010.htm",1,-1,1),new hrefList("sli=
de0012.htm",1,-1,1),new hrefList("slide0013.htm",1,-1,1),new hrefList("slid=
e0014.htm",1,-1,1),new hrefList("slide0015.htm",1,-1,1),new hrefList("slide=
0016.htm",1,-1,1),new hrefList("slide0017.htm",1,-1,1),new hrefList("slide0=
018.htm",1,-1,1));

/*********************************************
 Frameset functions

 These functions control slide navigation
 and state of the frameset.
**********************************************/

function RemoveFilePrefixFromHref(href)
{
	var regExp =3D /^file:\/\/\//i;
	return href.replace(regExp, "")
}

function FullScrInit()
{
	g_allowAdvOnClick =3D GetCurSld().mAdvOnClk
	document.body.style.backgroundColor=3D"black"
	document.oncontextmenu=3Dparent._CM;
	document.onkeydown =3D _KDH;
	document.ondragstart=3DCancel
	document.onselectstart=3DCancel
	self.focus()
}

function Redirect( frmId )
{=09
	var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId()
	if(idx>=3D0) str=3Dstr.substr(1);
	if( window.name !=3D frmId && ( sId !=3D str) ) {
		obj =3D GetObj("Main-File")
		window.location.href=3Dobj.href+"#"+sId
		return 1
	}
	return 0
}

var MHTMLPrefix =3D CalculateMHTMLPrefix();=20
function CalculateMHTMLPrefix()
{
	if ( document.location.protocol =3D=3D 'mhtml:') {=20
		href=3Dnew String(document.location.href)=20
		Start=3Dhref.indexOf('!')+1=20
		End=3Dhref.lastIndexOf('/')+1=20
		if (End < Start)=20
			return href.substring(0, Start)=20
		else=20
		return href.substring(0, End)=20
	}
	return '';
}

function GetTags(base,tag)
{
	if(g_supportsPPTHTML) return base.all.tags(tag);
	else return base.getElementsByTagName(tag);
}


function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=
refix+GetHrefObj( gCurSld ).mNtsHref ) }

function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }

function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }

function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }

function SetHasNts( fVal )
{
	if( gHasNts !=3D fVal ) {
		gHasNts=3DfVal
		UpdNavPane()
	}
}

function ToggleOtlText()
{
	gOtlTxtExp=3D!gOtlTxtExp
	UpdOtlPane()
}

function ClearMedia()
{
	// Clear any sounds playing before launching another browser window. Other=
wise,
	// in fullscreen mode, you'll continue to hear the sound in the frames mod=
e.
	if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0;
}

function FullScreen()
{=20
	if ( PPTSld.g_animUseRuntime )
		PPTSld.document.body.pause();
	ClearMedia();
	var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF =
: FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;
	if (MHTMLPrefix !=3D "")
		href =3D RemoveFilePrefixFromHref(href)
	if(PPTNav.event.ctrlKey) {
		var w =3D (window.screen.availWidth * 1.0) / 2.0
		var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW
		win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top=
=3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
	else
	{
		win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
}

function ToggleVNarration()
{
	rObj=3DPPTSld.document.all("NSPlay")
	if( rObj && !PPTSld.g_animUseRuntime ) {
		if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) )
			rObj.Play()
		else if( rObj.playState =3D=3D 2 )
			rObj.Pause()
		else
			return;
	}
	else if( PPTSld.g_animUseRuntime )
	{
		narObj =3D PPTSld.document.all("narrationID")
		if( narObj )
			narObj.togglePause()
	}
}

function GetCurSldNum()
{  =20
	obj=3DGetHrefObj(gCurSld)
	if( obj.mOrigVis =3D=3D 1 )
		return obj.mSldIdx
	else  =20
		return gCurSld
}

function GetNumSlds()
{  =20
	if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )
		return GetSldList().mNumVisSlds;
	else
		return GetSldList().mList.length
}

function GetSldNum( href )
{
	for(ii=3D0; ii<GetSldList().mList.length; ii++) {
		if ( GetSldList().mList[ii].mSldHref =3D=3D href )
			return ii+1
	}
	return 1
}

function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }

function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }

function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }

function GoToNextSld()
{
	ii=3DgCurSld + 1
	if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {
		if( ii<=3DGetSldList().mList.length ) {
			obj=3DGetHrefObj(ii)
			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
		}
	}
	if( gSldStack.length > 1 )
		PopSldList();
	else if( !IsFramesMode() ) {
                if( gLoopCont )
			GoToFirst()
                else
			EndShow()
	}
}

function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}

function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }

function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}

function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
=09
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(obj.mSldHref=
))
	else
		PPTSld.location.replace(obj.mSldHref)
	=09
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(href))
	else
		PPTSld.location.replace(href)
}

function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }

function CloseWindow() {
	if( HideMenu() ) return;
=09
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}

function Unload() { gIsEndShow=3D0; }

function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}

function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue

	doc=3DPPTSld.document
	var dir =3D doc.body.dir
	if( dir !=3D "rtl" ) dir =3D "ltr";
	doc.open()
	doc.writeln('<html><body dir=3D' + dir + ' bgcolor=3Dblack onload=3Dparent=
.SetupEndShow() onunload=3Dparent.Unload()><center><p><font face=3DTahoma c=
olor=3Dwhite size=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></=
body></html>')
	doc.close()
}

function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }

function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }

function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}

function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();

	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
	this.mNumVisSlds =3D idx-1;
	this.fEndShow =3D fEnd;
}

function GetSldList() {	return gSldStack[gSldStack.length-1] }
function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]=
 }

gSldStack =3D new Array();
gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")

	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"

	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}

function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")

	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"

	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}

/*********************************************
Custom Shows implementation

When ViewCustomShow() is called, we create
a new array that is a subset of the slides in=20
the main doc. This list pushed on a stack so
we can return after the end of the custom
show.
*********************************************/
function ViewCustomShow(idx,fEnd)
{
	if( !IsFullScrMode() ) return;
	var sldList =3D new Array();
	var custShow =3D custShowList[idx-1];
	var jj =3D 0;
	for( ii=3D0;ii<custShow.length;ii++ ) {
		if( custShow[ii] <=3D gMainDoc.length )
			sldList[jj++] =3D gMainDoc[custShow[ii]-1];
	}
	if (sldList.length > 0) {
	PushSldList(sldList,fEnd);
	gCurSld =3D 1;
	}
	else
		if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
}

function PushSldList(arr,fEnd) {
	var ii =3D gSldStack.length;
	gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);
	GoToSld( gSldStack[ii].mList[0].mSldHref );
}

function PopSldList() {
	if (gSldStack[gSldStack.length-1].fEndShow)
		EndShow()
	else {
	gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;
	gSldStack[gSldStack.length-1] =3D null;
	gSldStack.length--;
	var sldList =3D gSldStack[gSldStack.length-1];
	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
	}
}
var custShowList=3Dnew Array();

/*********************************************
 Navigation button implementation

 There are 2 types of buttons: ImgBtn, TxtBtn
 implemented as function objects. They share
 a similiar interface so the event handlers
 can call SetActive, for example, on a button=20
 object without needing to know exactly=20
 what type of button it is.
**********************************************/

//----------------------------------
function ImgBtn( oId,bId,w,action )
//----------------------------------
{
	var t=3Dthis
	t.Perform    =3D _IBP
	t.SetActive  =3D _IBSetA
	t.SetInactive=3D _IBSetI
	t.SetPressed =3D _IBSetP
	t.SetDisabled=3D _IBSetD
	t.Enabled    =3D _IBSetE
	t.ChangeIcon =3D null
	t.UserAction =3D action
	t.ChgState   =3D _IBUI
	t.mObjId   =3D oId
	t.mBorderId=3D bId
	t.mWidth   =3D w
	t.mIsOn    =3D t.mCurState =3D 0
}

function _IBSetA()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _IBSetI()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0=20
	}
}

function _IBSetP()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )
		obj.style.posLeft+=3D1; obj.style.posTop+=3D1
	}
}

function _IBSetD()
{ =20
	obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )
	obj.style.posTop=3D0=20
}

function _IBSetE( state )
{
	var t=3Dthis
	GetObj( t.mBorderId ).style.visibility=3D"visible"
	if( state !=3D t.mIsOn ) {
		t.mIsOn=3Dstate
		if( state )
			t.SetInactive()
		else
			t.SetDisabled()
	}
}

function _IBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
		if( t.ChangeIcon ) {
			obj=3DGetObj(t.mObjId)
			if( t.ChangeIcon() )
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth
			else
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth
		}
		t.SetActive()
	} =20
}

function _IBUI( clr1,clr2,nextState )
{
	var t=3Dthis
	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
	obj=3DGetObj( t.mObjId )
	obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj=
.style.posTop
	t.mCurState=3DnextState
	return obj
}

//-----------------------------------------
function TxtBtn( oId,oeId,action,chkState )
//-----------------------------------------
{
	var t=3Dthis
	t.Perform    =3D _TBP
	t.SetActive  =3D _TBSetA
	t.SetInactive=3D _TBSetI
	t.SetPressed =3D _TBSetP
	t.SetDisabled=3D _TBSetD
	t.SetEnabled =3D _TBSetE
	t.GetState   =3D chkState
	t.UserAction =3D action
	t.ChgState   =3D _TBUI
	t.mObjId      =3D oId
	t.m_elementsId=3D oeId
	t.mIsOn       =3D 1
}

function _TBSetA()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gHiliteClr,gShadowClr,0,0 )
}

function _TBSetI()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
}

function _TBSetP()
{
	if( this.mIsOn )
		this.ChgState( gShadowClr,gHiliteClr,1,1 )
}

function _TBSetD()
{  =20
	this.ChgState( gFaceClr,gFaceClr,0,0 )
	this.mIsOn =3D 0
}

function _TBSetE()
{
	var t=3Dthis
	if( !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
	else
		t.ChgState( gShadowClr,gHiliteClr,1,1 )
	t.mIsOn =3D 1
}

function _TBP()
{
	var t=3Dthis
	if( t.mIsOn ) {=20
		if( t.UserAction !=3D null )
			t.UserAction()
        if( !t.GetState )
            return
		if( t.GetState() )
			t.SetPressed()
		else
			t.SetActive()
	} =20
}

function _TBUI( clr1,clr2,lOffset,tOffset )
{
	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
}

function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=
ft }

function SetBorder( obj, upperLeft, lowerRight )
{
	s=3Dobj.style;
	s.borderStyle      =3D "solid"
	s.borderWidth      =3D 1=20
	s.borderLeftColor  =3D s.borderTopColor =3D upperLeft
	s.borderBottomColor=3D s.borderRightColor =3D lowerRight
}

function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }

function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }

function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }

function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }

function BtnOnUp()
{
	b=3DGetBtnObj()
	if( b !=3D null )
		b.Perform()
	else
		Upd()
}
function GetNtsState(){ return parent.gNtsOpen }

function GetOtlState(){ return parent.gOtlOpen }

function GetOtlTxtState(){ return parent.gOtlTxtExp }

function NtsBtnSetFlag( fVal )
{
	s=3Ddocument.all.item( this.m_flagId ).style
	s.display=3D"none"
	if( fVal )
		s.display=3D""
	else
		s.display=3D"none"
}

function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etActive() }

function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etInactive() }

function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etPressed() }

function _BSetA_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]=20
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _BSetI_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0
	}
}


var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=
THREEDFACE"
var gBtnArr =3D new Array()
gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=
e,GetOtlState )
gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=
lPane,GetOtlState )
gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN=
tsPane )
gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg;
gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg;
gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.=
ToggleNtsPane,GetNtsState )
gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To=
ggleNtsPane,GetNtsState )
gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n=
b_prevBorder",30,parent.GoToPrevSld )
gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n=
b_nextBorder",30,parent.GoToNextSld )
gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=
.FullScreen )
gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=
rent.FullScreen,null )
gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=
.FullScreen,null )
gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice=
","nb_voiceBorder",18,parent.ToggleVNarration )
gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT=
xt","nb_otlTxtBorder",23,parent.ToggleOtlText )
gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts"
gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag
gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState

/*********************************************
 Context menu implementation

 _CM() is the function that's hooked up to
 the oncontextmenu event. Once we're asked to
 show the menu, we first build it by creating
 DIVs on-the-fly. Then we position it=20
 within the screen area so it doesn't get
 clipped.

 Creating the DIVs using createElement() means
 we don't have to write out any extra HTML
 into the slide HTML files.
**********************************************/
var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=
row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"

function ShowMenu()
{
	BuildMenu();
	var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=
=3DPPTSld.event.clientY+doc.scrollTop
	m =3D PPTSld.document.all.item("ctxtmenu")
	m.style.pixelLeft=3Dx
	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
		m.style.pixelLeft=3Dx-m.scrollWidth

	m.style.pixelTop=3Dy
	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
		m.style.pixelTop=3Dy-m.scrollHeight

	m.style.display=3D""
}

function _CM()
{
	if( !parent.IsFullScrMode() ) return;
	if(!PPTSld.event.ctrlKey) {
		ShowMenu()
		return false
	} else
		HideMenu()
}

function BuildMenu()
{
	if( PPTSld.document.all.item("ctxtmenu") ) return

	var mObj=3DCreateItem( PPTSld.document.body )
	mObj.id=3D"ctxtmenu"
	mObj.style.visibility=3D"hidden"
	var s=3DmObj.style
	s.position=3D"absolute"
	s.cursor=3D"default"
	s.width=3D"120px"
	SetCMBorder(mObj,"menu","black")

	var iObj=3DCreateItem( mObj )
	SetCMBorder( iObj, "threedhighlight","threedshadow" )
	iObj.style.padding=3D2
	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
=09
	CreateSeparator( iObj )
	CreateMenuItem( iObj,sEnd,M_End,M_True )
	mObj.style.visibility=3D"visible"
}

function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=
lue=3Dfalse }

function Highlight() { ChangeClr("activecaption","threedhighlight") }

function Deselect() { ChangeClr("threedface","menutext") }

function Perform()
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() )
		e.Action()
	else
		PPTSld.event.cancelBubble=3Dtrue
}
function ChangeClr( bg,clr )
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() ) {
		e.style.backgroundColor=3Dbg
		e.style.color=3Dclr
	}
}

function M_HasPrevSld() { return( parent.HasPrevSld() ) }

function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }

function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();=
 PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() }

function M_True() { return true }

function M_End() { window.close( self ) }

function CreateMenuItem( node,text,action,eval )
{
	var e=3DCreateItem( node )
	e.type=3D"menuitem"
	e.Action=3Daction
	e.IsActive=3Deval
	e.innerHTML=3Dtext

	if( !e.IsActive() )
		e.style.color=3D"threedshadow"

	e.onclick=3DPerform
	e.onmouseover=3DHighlight
	e.onmouseout=3DDeselect
	s=3De.style;
	s.fontFamily=3DsFont
	s.fontSize=3D"9pt"
	s.paddingLeft=3D2
}

function CreateSeparator( node )
{
	var sObj=3DCreateItem( node )
	SetCMBorder(sObj,"menu","menu")
	var s=3DsObj.style
	s.borderTopColor=3D"threedshadow"
	s.borderBottomColor=3D"threedhighlight"
	s.height=3D1
	s.fontSize=3D"0px"
}

function CreateItem( node )
{
	var elem=3DPPTSld.document.createElement("DIV")
	node.insertBefore( elem )
	return elem
}

function SetCMBorder( o,ltClr,rbClr )
{
	var s=3Do.style
	s.backgroundColor=3D"menu"
	s.borderStyle=3D"solid"
	s.borderWidth=3D1
	s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr
}
------=_NextPart_01C5D2F6.FEA74510
Content-Location: file:///C:/2EC7B2F9/PP9TranslogCostandUtility_files/fullscreen.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html>

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../PP9TranslogCostandUtility.h=
tm">
<link rel=3DPreview href=3Dpreview.wmf>
<![if IE]>
<base href=3D"file:///C:\2EC7B2F9\PP9TranslogCostandUtility_files\fullscree=
n.htm"
id=3D"webarch_temp_base_tag">
<![endif]><script src=3Dscript.js></script>
<script><!--
var SCREEN_MODE   =3D "FullScreen";

function Load() {
	str=3Dunescape(document.location.hash),idx=3Dstr.indexOf('#')
	if(idx>=3D0) str=3Dstr.substr(1);
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=09
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	{
		str =3D RemoveFilePrefixFromHref(str);
		PPTSld.location.replace(MHTMLPrefix+escape(str));=09
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	else
	{
		PPTSld.location.replace(str);
	}
}

function Unload() {
	if ( document.body.PPTSldFrameset !=3D null )
		document.body.PPTSldFrameset.frames[1].document.body.resume();
}

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</script>
</head>

<frameset rows=3D"*" frameborder=3D0 onload=3D"Load()" onunload=3D"Unload()=
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------=_NextPart_01C5D2F6.FEA74510
Content-Location: file:///C:/2EC7B2F9/PP9TranslogCostandUtility_files/frame.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html>

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../PP9TranslogCostandUtility.h=
tm">
<link rel=3DPreview href=3Dpreview.wmf>
<title>V. Translog Models</title>
<![if IE]>
<base href=3D"file:///C:\2EC7B2F9\PP9TranslogCostandUtility_files\frame.htm"
id=3D"webarch_temp_base_tag">
<![endif]><![if !ppt]><script src=3Dscript.js></script><script>
<!--
var gNavLoaded =3D gOtlNavLoaded =3D gOtlLoaded =3D false;
function Load()
{
	str=3Dunescape(document.location.hash),idx=3Dstr.indexOf('#')
	if(idx>=3D0) str=3Dstr.substr(1);
	if(str) PPTSld.location.replace(escape(str));
}
//-->
</script><![endif]>
</head>


<frameset rows=3D"*,25" border=3D0>
 <frameset cols=3D"25%,*" onload=3D"Load()" id=3DPPTHorizAdjust framespacin=
g=3D1 frameborder=3D1>
  <frame src=3Doutline.htm title=3D"Outline" name=3DPPTOtl>
  <frame src=3Dslide0002.htm title=3D"Slide" name=3DPPTSld>
 </frameset>
 <frameset cols=3D"25%,*" framespacing=3D1>
  <frame src=3Doutline.htm title=3D"Outline
Navigation Bar" name=3DPPTOtlNav scrolling=3Dno noresize>
  <frame src=3Doutline.htm title=3D"Slide
Navigation Bar" name=3DPPTNav scrolling=3Dno noresize>
 </frameset>
</frameset>
</html>

------=_NextPart_01C5D2F6.FEA74510
Content-Location: file:///C:/2EC7B2F9/PP9TranslogCostandUtility_files/outline.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html>

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../PP9TranslogCostandUtility.h=
tm">
<link rel=3DPreview href=3Dpreview.wmf>
<![if IE]>
<base href=3D"file:///C:\2EC7B2F9\PP9TranslogCostandUtility_files\outline.h=
tm"
id=3D"webarch_temp_base_tag">
<![endif]>
<meta name=3DRobots content=3DNoIndex>
<script src=3Dscript.js></script><script><!--

if( !(IsWin("PPTOtl")||IsWin("PPTNav")||IsWin("PPTOtlNav")) )
{
	obj =3D GetObj("Main-File")
	parent.location.href=3Dobj.href
}

var gOtlHiliteClr=3D"#ffffff",gOtlNormalClr=3D"#000000",gOtlActiveClr=3D"#f=
fff00",gSelected=3D"",gTxtState=3Dfalse,gChildEntryTable=3Dnew Array()

function Load()
{
	if( IsWin("PPTOtl" ) ){ LoadOtl(); parent.gOtlLoaded=3Dtrue; return }
	if( g_supportsPPTHTML ) {
		if( IsWin("PPTNav" ) ){ LoadNav("NavObj",UpdNav); parent.gNavLoaded=3Dtru=
e; return }
		if( IsWin("PPTOtlNav" ) ){ LoadNav("OtlNavObj",UpdOtlNav); parent.gOtlNav=
Loaded=3Dtrue; return }
	}
}
function Upd(){ if( IsWin("PPTNav") ) LoadNav("NavObj",UpdNav) }
function LoadNav( oId,UpdFunc )
{
	document.ondragstart=3DCancelDrag
	document.onselectstart=3DCancelDrag
	document.body.style.margin=3D2
	UpdFunc()
	obj=3Ddocument.all.item(oId)
	obj.style.display=3D"block"
	obj.style.visibility=3D"visible"
	document.bgColor=3D"threedface"

	if( parent.frames["PPTNts"] )
		notesBtn.style.display =3D ""
	if( parent.gHasNarration )
		nb_voiceBorder.style.display =3D ""
}
function LoadOtl()
{
	var otl=3DGetObj("OtlObj")
	otl.style.display=3D"block"
	otl.style.visibility=3D"visible"
	if( gOtlActiveClr =3D=3D "" ) gOtlActiveClr=3Ddocument.linkColor
	if( gOtlHiliteClr =3D=3D "" ) gOtlHiliteClr=3Ddocument.fgColor
	if( gOtlNormalClr =3D=3D "" )
		gOtlNormalClr=3Ddocument.bgColor
	else
		document.bgColor=3DgOtlNormalClr =20

	InitArray()

	if( ObjExists( parent.gCurSld ) ) {
		ChangeState( parent.gCurSld,gOtlNormalClr,gOtlHiliteClr )
		gSelected=3Dparent.gCurSld
	}
	else gSelected =3D -1

	UpdOtl()
}
function UpdOtl(){ UpdIdx(parent.gCurSld) }
function UpdIdx( idx )
{
	if( gSelected !=3D idx ) {
		if( gSelected > 0 )
			ChangeState( gSelected,gOtlHiliteClr,gOtlNormalClr )

		if( ObjExists( idx ) ) {
			gSelected =3D idx
			ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )
		}
		else gSelected =3D -1
	}

	if( gTxtState !=3D parent.gOtlTxtExp ) {
		state =3D "block"
		if( !parent.gOtlTxtExp )
			state=3D"none"

		for(ii=3D0; ii<gChildEntryTable.length; ii++) {
			obj=3DgChildEntryTable[ii];
			if( obj.id =3D=3D null ) continue;

			if( obj.id.indexOf("PPTC") >=3D 0 )
				obj.style.display=3Dstate;
		}=20
		gTxtState=3Dparent.gOtlTxtExp
		if( ObjExists( gSelected ) )
			ChangeState( gSelected,gOtlNormalClr,gOtlHiliteClr )
	}
}
function InitArray()
{
	count=3D0
	var list=3DGetTags(document,"DIV");
	for(ii=3D0; ii<list.length; ii++) {
		obj=3Dlist.item(ii)
		if( obj.id =3D=3D null ) continue

		if( obj.id.indexOf("PPTC") >=3D 0 ) =20
			gChildEntryTable[count++]=3Dobj
	}
}
function ChangeState( idx,fgColor,bgColor )
{
	obj=3DGetObj("PPTL"+idx)
	obj.style.color=3DfgColor

	obj=3DGetObj("PPTP"+idx)
	obj.style.backgroundColor=3DbgColor
}
function ChgClr( o,clr ){ if( o.id !=3D "PPTL"+gSelected ) o.style.color=3D=
clr }
function Over( src ){ ChgClr(GetLink(src),gOtlActiveClr) }
function Out( src ){ ChgClr(GetLink(src),gOtlHiliteClr) }
function Follow(src){ window.location.href =3D GetLink(src).href; }
function ObjExists( ii ) { obj=3DGetObj("PPTP"+ii ); return( obj ) }
function GoToSld( href ){ UpdIdx(parent.GetSldNum(href)); parent.GoToSld( h=
ref ) }
function CancelDrag(){ window.event.cancelBubble=3Dtrue;window.event.return=
Value=3Dfalse}
function GetLink(src)
{
   if(src.tagName=3D=3D"A") return src
   else return GetTags(src,"A").item(0)
}

function UpdNav()
{
	txt =3D "<center>";
	if( parent.GetHrefObj( parent.gCurSld ).mOrigVis =3D=3D 1 )
		txt +=3D "Slide " + parent.GetCurSldNum() + " of " + parent.GetNumSlds()
	else
		txt +=3D "Hidden Slide"
	txt +=3D "</center>";
	nav_text.innerHTML =3D txt;

	if( !parent.HasPrevSld() )
		gBtnArr["nb_prev"].Enabled(0)
	else
		gBtnArr["nb_prev"].Enabled(1)

	if( !parent.HasNextSld() )
		gBtnArr["nb_next"].Enabled(0)
	else
		gBtnArr["nb_next"].Enabled(1)
	gBtnArr["nb_nts"].Enabled(1)
	gBtnArr["nb_ntsBorder"].SetFlag( parent.gHasNts )

	gBtnArr["nb_sldshw"].Enabled(1)
	gBtnArr["nb_voice"].Enabled(1)
}

function ExecBtn()
{
	if (event.keyCode =3D=3D 13)
	{
		BtnOnDown();
		BtnOnUp();
	}
}
function UpdOtlNav()
{
	gBtnArr["nb_otl"].SetEnabled();

	if( parent.gOtlOpen )
		gBtnArr["nb_otlTxt"].Enabled( true );
	else
		document.all.item("nb_otlTxtBorder").style.visibility =3D "hidden";
}




//--></script>
<style>
<!--.PTxt
	{position:relative;
	width:100%;
	margin-top:5px;
	padding-left:2px;
	font-weight:bold;}
.CTxt
	{position:relative;
	width:100%;
	margin-top:5px;}
a
	{color:white;
	text-decoration:none;}
ul
	{color:white;
	margin-bottom:0px;
	margin-left:20px;}
.sldNum
	{margin-top:5px;
	color:white;}
.button
	{position:absolute;
	width:32px;
	height:20px;
	border-style:solid;
	border-width:1px;
	border-color:threedface;}
-->
</style>
</head>

<body onload=3D"Load()" style=3D'margin:2px'>

<div id=3DNavObj onload=3D"Load()" onmouseover=3D"BtnOnOver()"
onmousedown=3D"BtnOnDown()" onmouseout=3D"BtnOnOut()" onmouseup=3D"BtnOnUp(=
)"
onkeypress=3D"ExecBtn()" style=3D'display:none;visibility:hidden'>
<table id=3D"notesBtn" style=3D'display:none;position:relative;width:55px' =
align=3Dleft cellpadding=3D0
 cellspacing=3D0>
 <td nowrap>
 <div id=3D"nb_ntsElem" title=3D"Show/Hide
Notes" align=3Dcenter style=3D'position:relative;margin-left:5px;margin-rig=
ht:5px;padding:3px;
 font-family:Arial;color:buttontext;font-size:9pt; cursor:default'>
 <img src=3D"notes_flag.gif" id=3D"nb_nts" style=3D'display:none'> &nbsp;No=
tes</div>
 <div id=3D"nb_ntsBorder" title =3D"Show/Hide
Notes" onfocus=3D"BtnOnOver()" onblur=3D"BtnOnOut()" TABINDEX=3D1 style=3D'=
position:absolute;top:0%;left:0%;width:100%;height:20px'>

 </div>
 </td>
</table>


<table style=3D'position:relative;width:70px' align=3Dright cellpadding=3D0=
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<table width=3D"100%" style=3D'font-family:Arial;font-size:9pt'>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>1</font></div>
  </td>
  <td width=3D"100%">
  <div id=3DPPTP1 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0002.htm');" id=3DPPTL1>V. Translog Mode=
ls</a></font></div>
  <div id=3DPPTC1 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Cost function in production economics</li>
   <li>		Capalbo, WJAE</li>
   <li>1. The model for n-inputs and m-outputs</li>
   <br>
   <br>
   <br>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>2</font></div>
  </td>
  <td>
  <div id=3DPPTP2 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0003.htm');" id=3DPPTL2>&quot;2&quot;</a=
></font></div>
  <div id=3DPPTC2 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li></li>
   <li>	2. Homogeneity in prices</li>
   <li></li>
   <li>		We already covered this:</li>
   <br>
   <br>
   <li>			&#8721;&#945;<sub>i</sub> =3D 1</li>
   <li>			&#8721;&#945;<sub>ij</sub>=3D 0<span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><font
       face=3DSymbol>&quot;</font><font face=3D"Comic Sans MS"> i =3D 1, &#=
8230; , n</font></li>
   <li>			&#8721;&#946;<sub>kj</sub>=3D 0<span
       style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><font
       face=3DSymbol>&quot;</font><font face=3D"Comic Sans MS"> k =3D 1, &#=
8230; , m</font></li>
   <li>			&#8721;&#945;<sub>it</sub>=3D 0</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>3</font></div>
  </td>
  <td>
  <div id=3DPPTP3 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0004.htm');" id=3DPPTL3>&quot;3&quot;</a=
></font></div>
  <div id=3DPPTC3 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>3. Deriving the compensated demand functions</li>
   <br>
   <br>
   <li></li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>4</font></div>
  </td>
  <td>
  <div id=3DPPTP4 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0005.htm');" id=3DPPTL4>&quot;and&quot;<=
/a></font></div>
  <div id=3DPPTC4 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <br>
   <li>	and</li>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <li>	R<sub>k</sub> is the ratio of the revenue from output k divided by =
the
       total cost of producing all outputs.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>5</font></div>
  </td>
  <td>
  <div id=3DPPTP5 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0006.htm');" id=3DPPTL5>&quot;4&quot;</a=
></font></div>
  <div id=3DPPTC5 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>4. Estimation</li>
   <br>
   <br>
   <li>	Estimate a system consisting of the cost function, n-1 of the cost
       share equations for inputs, and the m revenue share equations for
       outputs using SUR.</li>
   <br>
   <br>
   <li>	It is necessary to omit one of the cost share equations because they
       sum to one and create a singularity in the error covariance matrix s=
uch
       that it cannot be inverted for GLS/SUR estimation.<span
       style=3D'mso-spacerun:yes'>&nbsp; </span>Fortunately, SUR is typical=
ly
       MLE, and the parameter estimates are invariant to which share equati=
on
       we omit.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Estimates of =
the
       omitted equation&#8217;s parameters can be retrieved from the model
       restrictions and the cost function.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>6</font></div>
  </td>
  <td>
  <div id=3DPPTP6 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0007.htm');" id=3DPPTL6>&quot;5&quot;</a=
></font></div>
  <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>5. Elasticities</li>
   <li>		Price Elasticities</li>
   <li></li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>7</font></div>
  </td>
  <td>
  <div id=3DPPTP7 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0008.htm');" id=3DPPTL7>&quot;In terms o=
f the
  translog...&quot;</a></font></div>
  <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>	In terms of the translog model parameters:</li>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <li>	Output elasticities of demand can be derived similarly.</li>
   <li></li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>8</font></div>
  </td>
  <td>
  <div id=3DPPTP8 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0009.htm');" id=3DPPTL8>&quot;B&quot;</a=
></font></div>
  <div id=3DPPTC8 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>B. Utility Function</li>
   <li>	Read: Christensen, Jorgensen, and Lau, 	&#8220;Transcendental
       		Logarithmic Utility Functions,&#8221; AER, 65(1975): 367-		83.</li>
   <li>	CJL examine both the direct and indirect utility specification, but=
 we
       will focus on the indirect specification.</li>
   <br>
   <br>
   <li>Model (note homogeneity by normalization)</li>
   <br>
   <br>
   <li></li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>9</font></div>
  </td>
  <td>
  <div id=3DPPTP9 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0010.htm');" id=3DPPTL9>&quot;2&quot;</a=
></font></div>
  <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>2. Applying Roy&#8217;s Identity</li>
   <br>
   <br>
   <li>	The Hotelling-Wold Identity is a logarithmic counterpart of Roy&#82=
17;s
       Identity and in general allows us to derive demand functions from the
       logarithmic utility specification.</li>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <li>	where S<sub>i</sub> is the expenditure share for the ith good.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>10</font></div>
  </td>
  <td>
  <div id=3DPPTP10 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0012.htm');" id=3DPPTL10>&quot;As a firs=
t step
  to...&quot;</a></font></div>
  <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>	As a first step to operationalizing this for the translog indirect
       utility specification we rewrite the specification as:</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>11</font></div>
  </td>
  <td>
  <div id=3DPPTP11 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0013.htm');" id=3DPPTL11>&quot;Now&quot;=
</a></font></div>
  <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>	Now, we form the share equations by using the Hotelling-Wold identi=
ty
       and the derivatives on the previous page.<span
       style=3D'mso-spacerun:yes'>&nbsp; </span>That is,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>12</font></div>
  </td>
  <td>
  <div id=3DPPTP12 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0014.htm');" id=3DPPTL12>&quot;3&quot;</=
a></font></div>
  <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li></li>
   <li>	3. Estimation</li>
   <br>
   <br>
   <ul>
    <li>Nonlinear SUR</li>
    <br>
    <br>
    <li>The system consists of n-1 share equations</li>
    <br>
    <br>
    <li>Notice that share equations are homogenous of degree zero in
        parameters.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Thus, set
        &#931;&#945;<sub>k</sub>=3D-1 prior to estimation.</li>
   </ul>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0015.htm');" id=3DPPTL13>&quot;4&quot;</=
a></font></div>
  <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>	4. Elasticities</li>
   <li>		a. Price elasticities</li>
   <br>
   <br>
   <li></li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0016.htm');" id=3DPPTL14>&quot;In terms =
of the
  translog...&quot;</a></font></div>
  <div id=3DPPTC14 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>	In terms of the translog model recall:</li>
   <br>
   <br>
   <li></li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0017.htm');" id=3DPPTL15>&quot;b&quot;</=
a></font></div>
  <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>		b. Expenditure elasticities</li>
   <br>
   <br>
   <br>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0018.htm');" id=3DPPTL16>&quot;In terms =
of the
  translog...&quot;</a></font></div>
  <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>	In terms of the translog model:</li>
   <br>
   <br>
   <br>
  </ul>
  </font></div>
  </td>
 </tr>
</table>



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