4. Tim wants to maximise his utility given his utility function of U (A, B) = A² B¹. He faces 20; M = 250. However, a change in the following prices and income: PA = 25; PB = the price of good A to PA = 22 will change his optimal bundle. If he is only interested in being able to consume his original bundle of goods, how much income would he need after the price change? (a) Tim would require £54 less income (b) Tim would require £18.33 more income (c) Tim would require £10 less income (d) Tim would require £16.66 more income (e) Tim would require £16.66 less income

4. Tim wants to maximise his utility given his utility function of U (A, B) = A² B¹. He faces 20; M = 250. However, a change in the following prices and income: PA = 25; PB = the price of good A to PA = 22 will change his optimal bundle. If he is only interested in being able to consume his original bundle of goods, how much income would he need after the price change? (a) Tim would require £54 less income (b) Tim would require £18.33 more income (c) Tim would require £10 less income (d) Tim would require £16.66 more income (e) Tim would require £16.66 less income

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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answer question c, d
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7. MRS and utility maximization Suppose your classmate Felix loves to eat dessert-so much so that he allocates his entire weekly budget to apple crisp and pie. The price of one bowl of apple crisp is $1.75, and the price of a piece of coconut crème pie is $7.00. At his current level of consumption, Felix's marginal rate of substitution (MRS) of apple crisp for pie is 5. In other words, Felix is willing to sacrifice five bowls of apple crisp for one piece of pie per week. Does Felix's current consumption bundle maximize his utility? That is, does it make him as well off as possible? If not, how should he change it to maximize his utility? Felix could increase his utility by buying more apple crisp and less pie per week. Felix could increase his utility by buying less apple crisp and more pie per week. Felix's current bundle maximizes his utility, and he should keep it unchanged.
5. Jonas purchases only two goods, starfruit (S) and kiwi (K). He has an income of $60 and can buy starfruit at $2 per pound and kiwi at $3 per pound. His utility function is U(S,K)=3S+4K. That is, his (constant) marginal utility for starfruit is 3 and his marginal utility for kiwi is 4. What bundle of starfruit and kiwi should he purchase to maximize his utility? Why?
Troy likes games (Good X) and books (Good Y). Based on the number of games and books in his current bundle, he marginal utility for another game is 6 and the marginal utility for another book is 2. If the price of a game is $10 and the price of a book is $5, then which of the following statements is true? Select one: a. Troy's utility could be higher with more books and less games. b. Troy would have a higher utility if he bought equal quantities of books and games. c. Troy's utility is already maximized with the combination of games and books that he has. d. Troy's utility could be higher with more games and less books.
6. A consumer has an expenditure function given by E = Ū(P+). When the consumer has an income of 100, it can reach a maximum utility of 20. The price of x increases by 3 and the consumer's income increases by 25. Are they better off or worse off than before the changes? Explain how you know. Full solution please
12) Leyla consumes goods X and Y. The price of good X is Px and the price of good Y isPy, Leyla’s income is I. If both prices and Leyla’s income increases by 50%, then theA) budget constraint will be unchanged.B) slope of the budget constraint will increase.C) slope of the budget constraint will decrease.D) budget constraint will shift outward in a parallel fashion.E) None of the above .
4. Suppose that a consumer with the utility function U =X0.25 Y0.75 choses a bundle where X=5 and Y=10. If the prices of the two goods are Px= $1, and Py = $3. Calculate marginal utility per dollar spent on each good. Can this consumer increase utility without increasing expenditure and if so how?