課程名稱︰個體經濟學 課程性質︰系定必修 課程教師︰鄭秀玲 開課學院：社會學院 開課系所︰經濟系 考試日期（年月日）︰2008.10.23 考試時限（分鐘）：2小時 是否需發放獎勵金：是 謝謝 （如未明確表示，則不予發放） 試題 : 一. Mary likes to spend some time studying and some time datin. In fact her difference curves between hours per week spent studying are concentric circles around her favorite combanation, which is 20 hours of studying and 15 hours of dating per week. the closer she is to her favorite combination, the happier she is (1) suppose the Mary is currently studying 25hours a week and dating 3hours a week. Would she prefer to be studying 26hours a week and dating 8hours a week? (2) please draw a few of Mary indifference curves and illustrate which of the two time allocations discussed above Mary would prefer. 二.here is a table that illustrate some observed prices and choices for three different goods at three different pitures in three different situation. situation p1 p2 p3 X1 X2 X3 A 1 2 8 2 1 3 B 4 1 8 3 4 2 C 3 1 2 2 6 2 Do these observations violate WARP? 三. Jhon's utility function is U(x,y)=min{x, y^2} (1) please draw two indifference curves for John that is his utility levels are 4 and 16 respectively. (2) on the same graph, please drae John's budget line when the price of x is 1, the price of y is 2, and his income is 8. What bundle does John choose in this situation to maximize his utility. 四. Natal cosumes only apples and tomatos.Her utility function is U(x,y)=X^2Y^8, where x is the number of apples consumed and y is the number of tomatos consumed. Natal's income is 230, and the prices of apples and tomatos are $4 and $3, repectively. How many apples eill she consume to maximuze her utility? 五. For m>p1, the demand functions for good1 and good2 are given by the equations, x1=m/p1 - 1 and x2=p1/p2, where m is income and p1 and p2 are prices. Let the horizontal axis represent the quality of good1. Letp1=1, p2=2. Then for m>1, what is the income offer curve? 六. Mr. Wang's utility function is U( x,y)= lnx + y. His budget line is Px X +Py Y = m. please dervie his demand functions for good x and good y, repectively. 七. 妳認為下列的無異區線中, 有哪一效用函數所代表的偏好與其他效用函數不同? (1) U1=XY (2) U2=X^2Y^2 (3) U3=100+XY (4) U4=lnX=lnY (5) U6=X^2+Y^2 (6) U7=e^(XY) 八.假設X為一游牧民族對肉類的需求量,而Y為其對毛皮的需求量,該游牧民族的效用函數為 U=(X-3)^a (Y-5)^1-a, 1>a>0 如果肉類與毛皮交易價格分別為Px 和Py, 試問在給定價格Px Py 宇所得M下, 該游牧民族 在追求效用最大的目標下,對肉類和毛皮的需求量為何? 九. please comment on the new program of government susidy shown in the next page. Is it a better program than the previous one? --

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