[考古] 個體經濟學(一)/利菊秀/981期末考

[letitit (GOGOGOGOGO)]

[開課學院]:    商學院
[開課系所]:    經濟系
[課程名稱]:    個體經濟學(一)
[老師名稱]:    利菊秀            老師
[開課學期]:    學年
[類型]:        98-1期末考

利菊秀可以說很好過的老師啊 考的幾乎都是上課說過的 考基本而已
看到英文不要怕 因為可以帶字典跟計算機

1. Assume that there are two goods, x and y, Px and Py are corresponding to
their prices.Please show thw substitution effect(SE),income effect(IE),and
total effect(TE) when the prices of x goods decreases,if x is a inferior goods
but NOT a Giffen goods (Please explain your analysis in diagram).

2. John has the following utility function for x and y based on the following
utility: U(x,y)=2x^2y

(1)Derive John's MRS for x and y

(2)Derive John's optimum consumption of x and y if her income I=100 with price
   Px=4 and Py=2

(3)Derive John's demand function for x and y

3. Consider a production function of two inputs, labor and capital given by
   Q=10L^1/4K^3/4 . Let the price of labor w=1, the price capital r=4

(1)Please derive the MRTS for this production function.

(2)Please show the cost-minimizing quantity of labor(L*) and capital(K*)
   if Q=1000

(3)Find the long-run total cost function

(4)Find the expansion line.

(5)If capital is fixed,where K=5,please find the short-run total cost function

4. Please calculate the MRTS for following production function:

(a) Q=2L+K (b)Q=min(16L,4K) (c)Q=10LK

5. A firm has the following short-run cost function
   TC(Q)=Q^3-8Q^2+30Q+5 Please derive
(1)marginal cost function (MC)

(2)the average variable cost (AVC)

(3)average fixed cost (AFC)

(4)average total cost (ATC)

(5)the Q corresponding to minimum AVC

6. Please explain the following economic terms:

(1)economic of Scope (2) Isoquant (3)bandwagon effect (4) short run

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