课程名称︰个体经济学 课程性质︰系定必修 课程教师︰郑秀玲 开课学院：社会学院 开课系所︰经济系 考试日期（年月日）︰2008.10.23 考试时限（分钟）：2小时 是否需发放奖励金：是 谢谢 （如未明确表示，则不予发放） 试题 : 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. 你认为下列的无异区线中, 有哪一效用函数所代表的偏好与其他效用函数不同? (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.假设X为一游牧民族对肉类的需求量,而Y为其对毛皮的需求量,该游牧民族的效用函数为 U=(X-3)^a (Y-5)^1-a, 1>a>0 如果肉类与毛皮交易价格分别为Px 和Py, 试问在给定价格Px Py 宇所得M下, 该游牧民族 在追求效用最大的目标下,对肉类和毛皮的需求量为何? 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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