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課程名稱︰個體經濟學一
課程性質︰必修
課程教師︰江淳芳
開課學院：社會科學院
開課系所︰經濟系
考試日期（年月日）︰2009/11/09
考試時限（分鐘）：120
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
選擇題(15%)
1. Charlie has a utility function U(Xa,Xb) = XaXb, the price of apples is $1,
and the price of bananas is $2. If Charlie's income were $200, how many
units of bananas would he consume if he chose the bundle that maximized
his utility subject to his budget constraint?
a. 25
b. 50
c. 10
d. 100
e. 150
2. When prices are ($2,$10), Emil chooses the bundle (1,6), and when prices
are ($12,$4), he chooses the bundle (7,2).
a. Emil violates WARP.
b. Emil has kinked indifference curves.
c. The bundle (1,6) is revealed preferred to (7,2), but (7,2) is not
revealed preferred to (1,6).
d. The bundle (7,2) is revealed preferred to (1,6), but (1,6) is not
revealed preferred to (7,2).
e. None of the above.
3. Between 1990 and 2000, a particular consumer's income increased by 25%,
while the price of X and of "all other goods" both increased by 10%. It was
observed that the consumer's consumption of X and of all other goods both
increased by 15%.
a. The consumer did not regard X and "all other goods" as perfect
complements.
b. The consumer's preferences cannot be represented by a Cobb-Douglas
utility function.
c. The consumer's preferences can be represented by a Cobb-Douglas utility
function.
d. The consumer's preferences cannot be represented by a quasilinear
utility function.
e. More than one of the above options is true.
問答題(85%)
1. (15%)
Charlie's utility function is U(x,y) = max{2x,3y}. If the price of x is 2, the
price of y is 1. And Charlie has $100 to spend on x and y.
a. Draw some indifference curves of Charlie's utility function.
(請寫出推導過程)
b. How many units of x and y will Charlie consume?
2. (15%)
Martha has the utility function U = min{x,2y}
a. Write down her demand function for x as a function of the variable m, Px
and Py, where m is income, Px is the price of x, and Py is the price of y.
b. Draw a diagram showing his Engel curve for x.
3. (15%)
Hillary has an initial endowment of $500 and is interested in two things: how
many visits she can make to the doctor and how much money will be left over to
spend on other things. When a trip to the doctor costs $40, Hillary sees the
doctor 4 times. After health care reform, a visit to the doctor will cost $10
but her taxes will rise by $160.
a. Is it possible to tell whether Hillary has been made better off with the
given information? If so, explain what conditions are necessary for Hillary
to be made better off by health care reform.
b. Is it possible to tell whether Hillary has been made worse off with the
given information? If so, explain what conditions are necessary for Hillary
to be made worse off by health care reform.
4. (20%)
Brenda likes hot dogs and Coca-Cola. Hot dogs cost $1 each and Cokes cost $0.5
per bottle. There is special promotion for Coke that will last for one month.
If Brenda sends in the bottle tops from the Cokes she drinks during the next
month, she will get a refund of $0.2 for every bottle cap beyond the first 12
that sh returns. For example, if she returns 25 bottle caps she will get back
$2.60 = $0.2(25 - 12). Brenda has $40 to spend on hot dogs and Coke during the
next month.
a. Draw her budget line with Coke on the horizontal axis and hot dogs on the
vertical axis. Find the points where the budget line hits the axis and the
point where it has a kink. At each of these points write down the
quantities of each good consumed.
b. If Brenda's utility function is U(x,y) = xy; where x is Coca-Cola, y is hot
dogs. How many units of Coca-Cola and hot dogs will Brenda consume?
5. (20%)
Ray Starr has the utility function U(x,y) = y/(100-x)
a. Does Ray prefer more to less of both goods?
b. Draw a diagram showing Ray's indifference curves corresponding to the
utility levels U = 1/2, U = 1, and U = 2.
c. If the price of x is $1 and the price of y is $1, find Ray's demand for x
as a function of his income and draw a diagram showing his Engel curve for
x.
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