課程名稱︰個體經濟學
課程性質︰經濟學
課程教師︰林明仁
開課系所︰經濟系
考試時間︰11/22/2005
試題 :
*Part(A)為multiple choice部分
Essay Problems
15.Land in California is quite fertile and capable of growing large amounts of
tobacco, while the land in New England is relatively rocky, of poorer quali-
ty, and capable of growing only smaller tobacco crops. Nevertheless, New
England is a larger producer of tobacco than is California. Use the concepts
of cost and comparative advantage to resolve this apparent contradiction
(6 points)
16.Last year, the price of heating oil was $4 per gallon, and Jonetta purchased
100 gallons of heating oil. This year, the price of heating oil falls to $3
per gallon while Jonetta's income is unchanged. Jonetta decides to share
her good fortune by giving her retired father a gift of $100. Consider an
indifference curve-budget line diagram with heating oil on the horizontal
axis and "all other goods" on the vertical axis.
(1) Does the price change make Jonetta's budget line faltter or steeper?
Justify your choice.
(2) After Jonetta give the $100 gift, will her new budget line lie above,lie
below, or pass through her initial optimum? Justify your choice.
(3) Sketch an indifference curve-budget line diagram that illustrates this
situation. This year, will Jonetta be better or worse off than she was
last year?
((1)3 points,(2)(3)4 points)
17.有位留學英國的老師提到:"在畢業典禮時，我們印度同學的父母不但大老遠的從新
德里跑來，而且都還坐在第一排最貴的位置。其他歐洲同學的親友，則都只坐在後排
的便宜座位，可見我們的印度同學家裡都超有錢的呢!"試評論之(5 points)。
18.Given the initial value, calculate the first six values in the consequence
for each first order difference equation (4 points each.)
(1)Xt+1 =0.25Xt+60 with Xo=120
(2)Yt+1 =-Y+40 with Yo=30
19.For the two euqations in question 18 (5 points each)
(1) discuss whether the sequence you calculated is monotonic or oscillatory
and link the coefficient in the equation and this property
(2) discuss whether the sequence you calculated is stable or unstable and
link the coefficient in the equation and this property.
20.Find the steady state for the two equations in question 18 (4 points)
21.假設Cow Boy城居民有相同的效用函數及所得(每人每日工資為10元)，且嗜飲啤酒(每
瓶售價1元)，其每日所得在當日全數用盡。令X表示每位居民每日享用的啤酒瓶數，M
表示每位居民每日所得用於啤酒之外的其他所有開銷金額。當局稅收全來自菸酒稅(每
瓶啤酒課1元消費稅)，然而為避免民怨，市政府亦發放現金津貼每人每日W元，所有人
均因此維持稅前之效用水準不變。(4 points each)
(1)請列出每人每日之預算限制式(以等式表示，請考慮消費稅和津貼)。
(2)承上小題，請以X為橫軸M為縱軸，繪圖說明市政府此舉並不明智。圖中請清楚標示
每人實付之稅金，每人現金津貼。
22.略，相同題目請參見Landsburg課本第115頁第六題。
23.請計算下列四式對變數X之微分 (假設X不等於1/2) (4 points)
F(X)=5X^2+6X+7 G(X)=2X+1 H(X)=F(X)G(X) I(X)=F(X)/G(X)
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