個經的問題 - 經濟

來源: 台大黃貞穎老師98考古題

科目: 個體經濟學

問題:

Your TA has utility over books (B) and movie tickets (M) as follows:

u(B,M) = B + lnM .

The price of books and movie tickets is pB=pM=1 and the income devoted by
TA to these goods is 4.

MRS=M=1
是不是M固定消費1單位， 其他的錢都會用到B上呢？

(b)(15 points) Imagine that I decide to give 2 movie tickets to your TA for
free. These coupons cannot be resold. In a clearly labeled diagram
(label
M on the x-axis and B on the y-axis), show your TA's budget set in this
situation. Indicate your TA's chosen consumption of M and B.

(B-2)+M=4, M=1, B=5 買五本書
加上贈送的2張電影票，看三場電影

(c)(20 points) Your TA wants to save me money. So he proposes a deal to swap
movie tickets for book coupons. Each book coupon allows your TA to buy one
book. In doing so, he tries to keep himself as well off as before in (b) but
at the same time save me the maximum possible amount of money. How many book
coupons will your TA want to swap? How many book coupons will your TA demand
in exchange for the movie tickets? (Note: Tickets and Coupons do not have to
be traded in whole numbers.)

想法:
如果M恆等於1，TA會想把免費的兩張電影票換成同樣價格的兩本書(？)

(d)(20 points) Your TA is smart. So he proposes a deal to swap movie tickets
for book coupons. Each book coupon allows your TA to buy one book. In
doing so, he tries to keep me sending the same amount of money as in (b)
but at the same time make himself as better off as possible. How many
book coupons will your TA want to swap? How many book coupons will your
TA demand in exchange for the movie tickets? (Note: Tickets and Coupons
do not have to be traded in whole numbers.)

這跟上一小題都分不太清楚；


麻煩大家了
謝謝<(_)>


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