課程名稱：個體經濟學
課程性質：選修
課程範圍：個經課本ch4 ch6
開課教師：鄭鴻章
開課學院：商學院
開課系級：國貿二
考試日期(年月日)：2009/01/08
考試時限(Mins)：120
試題本文：
一、若某甲對X、Y財之效用函數為：
u(X,Y) = ln (X^2 乘以 Y^2)
則(1)試求出此人普通需求曲線。
_ _ _
(2)若Px=4，Py=6，M(所得)=120時，此人會消費多少X及Y？
(3)試求出此人Y財受所得補償之需求曲線。
二、請建立income-leisure model導出後彎形之勞動供給曲線，
並解釋此曲線型狀之意義。
三、給定以下生產函數：Q=1.4L^(0.7)k^(0.35)，
請分別求出勞動與資本的需求彈性，
並說明其經濟意涵。
四、suppose you are in charge of a toll bridge that costs
essentially nothing to operate. the demand for bridge
crossings Q is given by p=15-(1/2)Q
a.draw the demand curve for bridge crossings.
b.how many people would cross the bridge if
there were no toll?
c.what is the loss of consumer surplus associated
with a bridge toll of $5
d.the toll-bridge operator is considering an increase
in the toll to $7. at this higher price, how many
people would cross the bridge? would the toll-
bridge revenue increase or decrease? what does
your answer tell you about the elasticity of demand?
e.find the lost consumer surplus associated with
the increase in the price of the toll from $5 to $7
五、the production function for the personal computers of
DISK, Inc., us given by
q=10K^(0.5)L^(0.4)
where q is the number of computers produced per day,
K is hours of machine time, and L is hours of labor
input. DISK's competitor, FLOPPY, Inc., is using the
production function
q=10K^(0.6)L^(0.4)
a.if both companies use the same amounts of capital
and labor, which will generate more output?
b.assume that capital is limited to 9 machines hours,
but labor is unlimited in supply. in which company
is the marginal product of labor greater? explain.
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