假定一个经济只生产两种商品，X和Y。商品X的生产函数为

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<P style="TEXT-INDENT: -18pt; MARGIN: 0cm 0cm 0pt 18pt; mso-list: l0 level1 lfo1; tab-stops: list 18.0pt" class=MsoNormal><SPAN style="mso-fareast-font-family: 'Times New Roman'" lang=EN-US><SPAN style="mso-list: Ignore"><FONT face="Times New Roman">1、<SPAN style="FONT: 7pt 'Times New Roman'">  </SPAN></FONT></SPAN></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">假定一个经济只生产两种商品，</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">X</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">和</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">Y</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">。商品</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">X</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的生产函数为</SPAN></P>
<P style="TEXT-INDENT: 50.3pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN lang=EN-US><FONT face="Times New Roman">X=K<SUB>X</SUB><SUP>1/2</SUP>L<SUB>X</SUB><SUP>1/2</SUP></FONT></SPAN></P>
<P style="MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">商品</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">Y</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的生产函数为</SPAN></P>
<P style="TEXT-INDENT: 50.3pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN lang=EN-US><FONT face="Times New Roman">Y=K<SUB>Y</SUB><SUP>1/3</SUP>L<SUB>Y</SUB><SUP>1/3</SUP></FONT></SPAN></P>
<P style="MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">这里，</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">K</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">和</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">L</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">是资本投入和劳动投入。资本的供给不变，为</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">100</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">单位；劳动供给也是不变的，为</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">200</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">单位。这样，如果资本和劳动被完全使用，就有</SPAN></P>
<P style="TEXT-INDENT: 51.8pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN lang=EN-US><FONT face="Times New Roman">K<SUB>X</SUB>+K<SUB>Y</SUB>=K<SUB>T</SUB>=100</FONT></SPAN></P>
<P style="TEXT-INDENT: 51.8pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN lang=EN-US><FONT face="Times New Roman">L<SUB>X</SUB>+L<SUB>Y</SUB>=L<SUB>T</SUB>=200</FONT></SPAN></P>
<P style="MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">应用以上信息，回答下面的问题。</SPAN></P>
<P style="TEXT-INDENT: 21pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN lang=EN-US><FONT face="Times New Roman">a. </FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">如果生产是有效率的，请表示生产</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">X</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中资本与劳动的比率（</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">K<SUB>X</SUB>/L<SUB>X</SUB>=K<SUB>X</SUB></FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）与生产</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">Y</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中的资本与劳动的比率（</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">K<SUB>Y</SUB>/L<SUB>Y</SUB>=K<SUB>Y</SUB></FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）。</SPAN></P>
<P style="TEXT-INDENT: 21pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN lang=EN-US><FONT face="Times New Roman">b. </FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">请表示两个商品的资本与劳动的比率都服从于</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">a<SUB>X</SUB>k<SUB>X</SUB>+</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">（</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">1-a<SUB>x</SUB></FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">K<SUB>Y</SUB>=K<SUB>T</SUB>/L<SUB>T</SUB>=100/200=1/2</FONT></SPAN></P>
<P style="TEXT-INDENT: 21pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">这里，</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">a<SUB>X</SUB></FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">是劳动总量投入到生产</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">X</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中的分额</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">[</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">即</SPAN><SPAN lang=EN-US><FONT face="Times New Roman"> a<SUB>X</SUB>=L<SUB>X</SUB>/L<SUB>T</SUB>=L<SUB>X</SUB>/</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">（</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">L<SUB>X</SUB>+L<SUB>Y</SUB></FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）。</SPAN></P>
<P style="TEXT-INDENT: 21pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN lang=EN-US><FONT face="Times New Roman">c. </FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">请运用（</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">a</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）和（</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">b</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）中的信息计算对于</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">0</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">和</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">1</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">之间的任意</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">a<SUB>X</SUB></FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">值，及生产的最有效率的资本与劳动比例。</SPAN></P>
<P style="TEXT-INDENT: 21pt; MARGIN: 0cm 0cm 0pt" class=MsoNormal><SPAN lang=EN-US><FONT face="Times New Roman">d. </FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">画出这个经济的</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">Edgeworth</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">盒状图，并用（</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">c</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）中的信息大致画出生产契约曲线的简图。</SPAN></P>
<P style="TEXT-INDENT: -18pt; MARGIN: 0cm 0cm 0pt 18pt; mso-list: l1 level1 lfo2; tab-stops: list 18.0pt" class=MsoNormal><SPAN style="mso-fareast-font-family: 'Times New Roman'" lang=EN-US><SPAN style="mso-list: Ignore"><FONT face="Times New Roman">a.<SPAN style="FONT: 7pt 'Times New Roman'">       </SPAN></FONT></SPAN></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">在这个经济中，</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">X</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">和</SPAN><SPAN lang=EN-US><FONT face="Times New Roman">Y</FONT></SPAN><SPAN style="FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">中哪个商品是资本密集的？请解释该经济的生产可能性曲线为什么是凹的？</SPAN></P>

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关键词：生产函数 edgeworth worth 生产可能性 Edge 信息

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