效用問題 - 經濟

來源: 台大黃貞穎老師98年考古題

科目:個題經濟學

問題:
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.

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.


我的想法:
雖然分別知道兩小題的預算限制，
(a) 3x+2y=40
2x+3y=40

(b) 2x+2y=40
3x+2y=55

但是在題目沒有告知效用函數的情況下，
不知道該怎麼樣找出，她會比較分別偏好哪個;;

麻煩板友解答了
謝謝:)

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