<p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"><font color="#ff0000" size="5"><strong>请教各位如下问题,有给出满意答案者,本人送500论坛币!</strong></font></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';"></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">一家企业的</span><span lang="EN-US" style=";"><font face="Times New Roman">CEO</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">的薪酬取决于该企业的利润。企业的利润取决于该</span><span lang="EN-US" style=";"><font face="Times New Roman">CEO</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">的工作时间（</span><span lang="EN-US" style=";"><font face="Times New Roman">H</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">）以及用于享乐方面的支出（</span><span lang="EN-US" style=";"><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';">）。因此，该</span><span lang="EN-US" style=";"><font face="Times New Roman">CEO</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">的薪酬为θ（π（</span><span lang="EN-US" style=";"><font face="Times New Roman">H</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" style=";"><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';">），其中θ为一固定比例，</span><span lang="EN-US" style=";"><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';">＜θ＜</span><span lang="EN-US" style=";"><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';">，π（</span><span lang="EN-US" style=";"><font face="Times New Roman">H</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">）为企业在扣除享乐支出前的利润且π（</span><span lang="EN-US" style=";"><font face="Times New Roman">H</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">）的一阶导数大于</span><span lang="EN-US" style=";"><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';">。该</span><span lang="EN-US" style=";"><font face="Times New Roman">CEO</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">的总时间（</span><span lang="EN-US" style=";"><font face="Times New Roman">T</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">）将分配工作（</span><span lang="EN-US" style=";"><font face="Times New Roman">H</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">）和休闲（</span><span lang="EN-US" style=";"><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';">），因此，</span><span lang="EN-US" style=";"><font face="Times New Roman">T</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" style=";"><font face="Times New Roman">H+L</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">。该</span><span lang="EN-US" style=";"><font face="Times New Roman">CEO</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">对商品消费，享乐以及休闲的偏好可以用一个严格的准凹的效用函数，</span><span lang="EN-US" style=";"><font face="Times New Roman">U</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" style=";"><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';">，</span><span lang="EN-US" style=";"><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';">，</span><span lang="EN-US" style=";"><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';">）来表示。</span><span lang="EN-US" style=";"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style=";"><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';">、请把这位</span><span lang="EN-US" style=";"><font face="Times New Roman">CEO</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">如何选择商品消费，享乐以及休闲的问题表述为带有一个限制条件的优化问题</span><span lang="EN-US" style=";"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; mso-outline-level: 1;"><span lang="EN-US" style=";"><font face="Times New Roman">2</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">、推导上述优化问题的内部解的一阶条件</span><span lang="EN-US" style=";"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style=";"><font face="Times New Roman">3</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">、请对休闲的最优选择的一阶条件给予经济意义上解释并推导出休闲与享乐之间的边际替代率</span><span lang="EN-US" style=";"><p></p></span></p><p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt;"><span lang="EN-US" style=";"><font face="Times New Roman">4</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">、现假设该</span><span lang="EN-US" style=";"><font face="Times New Roman">CEO</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">的工作时间是固定的，请用比较静态分析方法讨论θ的提高对该</span><span lang="EN-US" style=";"><font face="Times New Roman">CEO</font></span><span style="; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman';">用于享乐方面的支出（</span><span lang="EN-US" style=";"><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';">）的影响。</span><span lang="EN-US" style=";"><p></p></span></p>