作者taiyaki35 (小侠)
看板Economics
标题[考试] 消费者剩余
时间Sun Jan 8 21:14:29 2012
来源: 黄贞颖老师考古题
科目: 个经
问题:
Consumer's surplus: A consumer has the utility function
U(x,y) =e^((ln(X)+Y)^1/3)
where X is the good in concern and Y is the money
that can be spent on all other goods. (So the price of Y is normalized to
be 1). The income of this consumer is 100.
(a) (10pts) Derive the demand function of x for this consumer. Make sure that
at every price of x, the consumer always has enough income to buy the amount
of x as indicated by hiss demand function.
(b) (10pts) Calculate the price elasticity of the demand function in (a).
Is it true that the absolute value of the elasticity of the demand decreases
as the amount of x increases?
(c) (10pts) Suppose price of x decreases from 2 to 1. Calculate the change
in consumer's surplus.
(d) (10pts) Suppose price of x decreases from 2 to 1. Calculate the
compensating variation of this price change.
(e) (10pts) Suppose price of x decreases from 2 to 1. Calculate the
equivalent variation of this price change .
目前解出a) x=1/px c) ln2
本身没有修过微积分，
不太知道要利用现有的条件算出价格弹性跟CV,EV
想请较大家<(_)>
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1F：推 wade7879:老师上课有很快提一下 价格弹性可以把需求函数取log 01/09 23:14
2F：→ wade7879:lnx=...+elnp+... e 就是弹性 不过你算得跟我不一样 XD 01/09 23:14
3F：→ arnys:单调转换後 同lnX+P 弹性为一，你照点弹性微看看就知道了 01/10 15:42