[請益] 次方問題
請問大家
常看到如:效用函數 U(X,Y) = X^1/4+Y^3/4(舉例來說)
請問要怎麼算出有分數次方的算式?@@
以前是念社會學的 看到這個就很頭大
只知道平方 立方之類 但完全不懂分數次方的運算
是否有像平方那樣有表格可以依循?
謝謝^^
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※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 61.227.188.77
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抱歉 沒把問題問清楚 ><
題目如右:設甲效用函數為 U(X,Y)=X^1/4 Y^3/4,所得為9000元,X與Y的單價均為10元
,試問:
(1)某甲最適消費組合為何?
(2)若政府鼓勵某甲增加X的消費,某甲購買每一單位,政府都補助5元,
某甲最適消費組合為何?
(3)若政府提供某甲價值4000元的兌換券,該兌換券只能用來支付某甲對X的消
費,某甲之最適消費組合為何?
自己的想法:
(1)MRSxy=Px/Py=Y/X=1 ∴X=Y
Px‧X + Py‧Y=M 10X+10Y=9000→20Y=9000→Y=450,∴X=450
(不知道有沒有解對@@)
(2)MRSxy=(Px-5)/Py=Y/X ∴X=2Y
(Px-5)‧X + Py‧Y=M 5X+10Y=9000→20Y=9000→Y=450,∴X=900
(3)真的不會了..煩請各位前輩開示...感謝^^
※ 編輯: babyyama 來自: 61.227.199.218 (04/18 23:33)
※ 編輯: babyyama 來自: 61.227.199.218 (04/18 23:36)
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