作者Allendd (===== =====凸)
看板Economics
标题[问题] 请教一题考题
时间Fri Aug 12 00:08:51 2005
1. A firm in a competitive market has the poduction function
Y = X1(1/3次方)X2(1/2次方), where Y is the amount of output
and X1 and X2 are the amount of input. The price of the output
is P, and the price of both inputs are 1. In the short run, the
amount of X2 is fixed at 1. To maximize its sort-run profit, the
firm will employ X1(P) = aP(b次方) units of X1, where a and b are
constant. What is the value of b ? (93中兴财金)
注:1.第二行的Y是C-DUF函数,因为次方不知如何打 ><
2.第六行的X1(P)表示"X1是P之函数"
3.Ans: b = 2/3
因为想了很久,也翻了不少次书,但是总是掌握不到解题的关键,加上或许自己的
观念不清楚所以在数学操作上也有问题(自己觉得应该是答案的"答案"数字超丑)
,所以想请各位高手帮忙解惑 谢谢<(_ _)>
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首次发问,如有不当之处请大家告知 谢谢
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◆ From: 61.228.192.214
1F：推 dreambreaken:profit=PY-Px1*X1-Px2*X2，对x1微分可得 218.169.152.96 08/12
2F：→ Allendd:了解了~~感恩感恩~~ 61.228.193.45 08/13