※ 引述《afoh (afoh)》之銘言:
: Janet consumers two commodities X and Y. Her utility function is
: min{X+2Y, Y+2X}. She choose to buy 10 units of goods X and 20
: units of good Y.The price of good X is 1. Which of the following is ture?
: a. Icome is 40
: b. Icome is 50
: c. Icome is 30
: d. Icome is 20
: 答案是D
: 解釋為 X=10<Y=20 → U=Y+2X →M=20
: 但是我還是看不懂
: 因為X<Y 所以選出了U=Y+2X 的效用函數但是如何求出所得的勒?
: 希望有高手可以替我解答?
效用函數 U=min{X+2Y, Y+2X}
如果X>Y,則X+2Y小於Y+2X,故效用函數 U=X+2Y (因為要取小)
同理,X<Y,則X+2Y大於Y+2X,故效用函數 U=Y+2X
純粹是在比大小,不需要透過數學計算
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