作者arnys (我不要当学弟)
看板Economics
标题Re: [考试] 效用问题
时间Sun Nov 13 20:55:37 2011
※ 引述《chestnut42 ()》之铭言:
: 来源: 台大黄贞颖老师98年考古题
: 科目:个题经济学
: 问题:
: 1. Every weekend, Eliette goes to an amusement park (FunLand) and spends her
: entire budget of $40. There are only two things she spends her money on
: there: roller coaster cost $3/ride and ice cream cost $2/cone, Eliette buys
: 8 rides and 8 cones.
: (a)(10 points) In week 2, the FunLand changes its price to $2/ride and
: $3/cone. Is it possible for Eliette to be strictly worse off? Is it
: possible for Eliette to be strictly better off? Could she be exactly as
: well off as before (indifferent)? Explain.
画预算线,初始价格时他选择{8,8}
改变价格後,他也买得起{8,8}的组合 但有更多选择
所以效用大於等於初始效用
EX U = min {Qr,Qc} 相等
U = Qr^3Qc^2 效用增加
: In week 3, FunLand changes its prices back to $3/ride and $2/cone (the same
: as in week 1). But a new amusement park, Bob's wonderland, opens. At Bob's
: wonderland, roller coaster rides and ice cream cones both cost $2. If
: Eliette went there, she would buy 15 rides and 5 cones. To compete, FunLand
: offers the following promotion: any customer who spend at least $40 will
: get $15 worth of free coupons to spend on either roller coaster rides or ice
: cream cones.
: (b)(15 points) Would Eliette rather go to FunLand or to Bob's wonderland?
: Explain.
wonderland 的价格消费{15,5} 此时也消费得起 {8,8} 优於初始funland条件
但若与 3Qr + 2Qc = 55 相比,funland 优惠条件买不起{15,5}的组合
消费40买了{8,8}後,3Qr + 2Qc = 55的限制范围是{13,8} 与 {8,15.5}的区域
互相有对方买不起的组合 => 无法比较优劣 视效用函数而不同
我是以比较福利的章节来看,不过不太会用电脑画图...所以 ...
有错还请多指教
: 我的想法:
: 虽然分别知道两小题的预算限制,
: (a) 3x+2y=40
: 2x+3y=40
: (b) 2x+2y=40
: 3x+2y=55
: 但是在题目没有告知效用函数的情况下,
: 不知道该怎麽样找出,她会比较分别偏好哪个;;
: 麻烦板友解答了
: 谢谢:)
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1F:推 chestnut42:非常感谢! 11/14 19:42