[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]: 陳善瑜 老師
[開課學期]:
[類型]: 98-1期中考
1.(36%)Suppose that the demand function for renting a beachfront property
in Ocean City,New Jersey,during the first week of August is Qd=450-10P+I/20
,Where I is the median annual income of the people involved in this market
,Q is quantity,and P is rental price.The supply curve is Qs=20P+I/40
(a)Derive the equilibrium price P* and Q* quantity, in terms of I.
(b)Find dP*/dI and dQ*/dI
(c)If I=1200,calculate the equilibrium price and quantity.
(d)Calculate the price elasticity of demand, the price elasticity of supply
and the income elasticity of demand for the equilibrium.
2.(16%)What effect does a $1 specific tax have on equilibrium price and
quantity,and what is the incidence on consumers,if
(a)the demand curve is perfectly inelastic
(b)the supply curve is perfectly elastic
3.(24%)Karl's preference over pizza(q1)and burrito(q2)are described by the
utility function:U=q1(平方)q2.His monthly income is Y dollars,and he only
buys these two goods out of his income.
Denote the price of pizza by P1 and of burrito by P2.
(a)Derive Karl's demand function for pizza and for burrito as a function of P1
,P2 and Y
(b)Determine Karl's optimal basket given P1=$2,P2=$8 and her income I=240
(c)Derive Karl's demand function for pizza if P1=$2 ,P2=$8 and her income I=240
(d)Derive Karl's Engel function for pizza if P1=$2 and P2=$8
4.(24%)Susan considers chocolate and ice cream to be perfect subsititutes.The
price of chocolate Pc is less than that of ice cream Pi.
(a)Show her indifference curve map.
(b)What is her utility function.
(c)What is Susan's optimal bundle?Show your answer by the diagram of
indifference curves and budget constraints
(d)What happens to Susan's optimal choice if all prices and her income double?
(e)What does Susan's Engel curve look like? Show your answer by a diagram.
(f)What is Susan's optimal bundle, given Pc=$4, Pi=$5 and her income I=200?
附加連結:
(圖片請盡量以BBS作圖呈現,或簡單說明,當然亦可提供相關連結)
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