来源: 台大黄贞颖老师98考古题 科目: 个体经济学 问题: 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固定消费1单位， 其他的钱都会用到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 买五本书 加上赠送的2张电影票，看三场电影 (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恒等於1，TA会想把免费的两张电影票换成同样价格的两本书(？) (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.) 这跟上一小题都分不太清楚； 麻烦大家了 谢谢<(_)> --

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