效用問題 - 經濟

※ 引述《chestnut42 ()》之銘言：
: 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.
畫預算線，初始價格時他選擇{8，8}

改變價格後，他也買得起{8，8}的組合 但有更多選擇

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 的價格消費{15，5} 此時也消費得起 {8，8} 優於初始funland條件

但若與 3Qr + 2Qc = 55 相比，funland 優惠條件買不起{15，5}的組合

消費40買了{8，8}後，3Qr + 2Qc = 55的限制範圍是{13，8} 與 {8，15.5}的區域

互相有對方買不起的組合 => 無法比較優劣 視效用函數而不同

我是以比較福利的章節來看，不過不太會用電腦畫圖...所以 ...

有錯還請多指教


: 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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