请教两步收费制的一个问题

是 否 +2 论坛币

k人 参与回答

经管之家送您一份

应届毕业生专属福利!

求职就业群

赵安豆老师微信：zhaoandou666

经管之家联合CDA

送您一个全额奖学金名额~ !

立即领取

感谢您参与论坛问题回答

经管之家送您两个论坛币！

+2 论坛币

<P>平狄克－中微－第三版－P324－No. 10</P>
<P  align=left><FONT face="宋体, MS Song">10. As the owner of the only tennis club in an isolated wealthy community, you must decide on membership dues and fees for court time.  There are two types of tennis players.  “Serious” players have demand  </FONT><FONT face="宋体, MS Song">Q<SUB>1</SUB> = 6 - P <p></p></FONT></P>
<P  align=left><FONT face="宋体, MS Song">where Q<SUB>1</SUB> is court hours per week and P is the fee per hour for each individual player.  There are also “occasional” players with demand </FONT><FONT face="宋体, MS Song">Q<SUB>2</SUB> = 3 - (1/2)P.  <p></p></FONT></P>
<P  align=left><FONT face="宋体, MS Song">Assume that there are 1,000 players of each type.  You have plenty of courts, so that the marginal cost of court time is zero.  You have fixed costs of $5,000 per week.  Serious and occasional players look alike, so you must charge them the same prices.</FONT><p></p></P>
<P  align=left><FONT face="宋体, MS Song"><b><EM>A friend tells you that you could make greater profits by encouraging both</EM></b></FONT></P>
<P  align=left><FONT face="宋体, MS Song"><b><EM>types of players to join.  Is the friend right?  What annual dues and court </EM></b></FONT></P>
<P  align=left><FONT face="宋体, MS Song"><b><EM>fees would maximize weekly profits?  What would these profits be?</EM></b></FONT></P>
<P  align=left><FONT face=宋体></FONT><p><FONT size=2>当有两类顾客时，俱乐部的拥有者通过将场地费定在高于边际成本和通过将会员费定在等于需求较小的消费者的余下的消费者剩余是利润最大化。会员费T等于去掉场地费以后的消费者:T=（Q<SUB>2</SUB>－0）*（6－P）*（1/2），其中，Q<SUB>2</SUB>=3－（1/2），故T=[3－（1/2）P]*（6－P）*（1/2）=P－3P+P<SUP>2</SUP>/4。。所有网球手的总会员费是2000*（9－3P+3P<SUP>2</SUP>/2）]。场地费收益等于P（Q<SUB>1</SUB>+Q<SUB>2</SUB>）=P[（6－P）*1000+3－P/2]*1000]=1000（9P－3P<SUP>2</SUP>/2）。这样<b>总收益TR=[9－3P+P<SUP>2</SUP>/4]*2+（9P－3P<SUP>2</SUP>/2）]*1000=（18+3P－P<SUP>2</SUP>）*1000</b>。边际成本为零，边际收益由总收益与边际曲线的切线斜率给出：⊿TR/⊿P（或者MR）=3000－2000P。令边际收益与边际成本相等则得价格为每小时1.5美圆。总收益等于20250美圆。总成本等于固定成本5000美圆。所以利润为每周15250美圆，这大于只有专业网球手才成为会员的每周13000美圆。</FONT></p></P>
<P  align=left><p><FONT size=2>疑问是：MR（边际收益）的定义不是⊿TR/⊿Q吗，此处却变成了⊿TR/⊿P？</FONT></p></P>
<P  align=left><p><FONT size=2>        应该是MR＝（⊿TR/⊿P）×（⊿P/⊿Q）；其中（⊿P/⊿Q1）＝－1；则MR1=（⊿TR/⊿P）×（⊿P/⊿Q1）＝9000－2000×Q1＝0，得Q1＝4.5；据Q1＝6－P, 得P＝1.5</FONT></p></P>
<P  align=left><p><FONT size=2>        同理推得MR2＝（⊿TR/⊿P）×（⊿P/⊿Q2）＝18000－8000Q2＝0，得Q2=2.25,据Q2=3-(1/2)P, 得P=1.5。结果与上述答案一致。只是不清楚为什么MR＝⊿TR/⊿P</FONT></p></P>

扫码加我 拉你入群

请注明：姓名-公司-职位

以便审核进群资格，未注明则拒绝

分享0 收藏0 回帖

关键词：两步收费 Encouraging membership Individual Community individual membership decide demand player

没人相应，郁闷。

不好回答啊