就商品X、Y的偏好次序来说,下列效用函数中哪一个与U(X,Y)=XY相同?()
A.U(X,Y)=(X-5)(Y-5)
B.U(X,Y)=(X/5)(Y/5)
C.U(X,Y)=(X+5)(Y+5)
D.仅b,c正确
A.U(X,Y)=(X-5)(Y-5)
B.U(X,Y)=(X/5)(Y/5)
C.U(X,Y)=(X+5)(Y+5)
D.仅b,c正确
(1)求该消费者关于商品x和商品y的需求函数。
(2)证明当商品x和y的价格以及消费者的收入同时变动一个比例时,消费者对两商品的需求关系维持不变。
(3)证明消费者效用函数中的参数a和β分别为商品x和商品y的消费支出占消费者收入的份额。
在下列积分中改变累次积分的次序:
(5)(改为先y方向,再x方向和z方向的次序积分);
(6)(改为先x方向,再y方向和z方向的次序积分)。
需求的变化进行分解的斯拉茨基方程是什么呢?什么是收入效应?什么是替代效应?
Assume that a utility function is given by Min(X, Y), as in Exercise 1(c). What is the Slutsky equation that decomposes the change in the demand for X in response to a change in its price? What is the income effect? What is the substitution effect?
A.正确
B.错误
莎伦有如下的效用函数:
式中,X是她对棒棒糖的需求量,PX=1美元,Y是她对浓咖啡的需求量,PY=3美元。
(1)推导莎伦对棒棒糖和浓咖啡的需求函数。
(2)假定其收入I为100美元,莎伦会消费多少棒棒糖,多少浓咖啡?
(3)收入的边际效应为多少?
Sharon has the following utility function:
where X is her consumption of candy bars, with price PX= $1, and Y is her consumption of espressos, with PY= $3.
a. Derive Sharon ' s demand for candy bars and espressos.
b. Assume that her income I= $ 100. How many candy bars and how many espressos will Sharon consume?
c. What is the marginal utility of income?
A.a→c→e→b→f→d→g
B.c→a→e→b→d→f→g
C.e→c→a→b→d→f→g
D.c→a→b→d→f→e→g
A.1/2
B.2/3
C.3/4
D.4/5