Consider the Cobb-Douglas utility function of a consumer is given as u (z y) := 1"y where a > b and the sum(a, b) and the product(a, b) are 1 and 2/9 respectively, find a. the budget needed, m, to be able to afford the desired utility number u if price of good r and y are p, and py respectively. b. Given that p, = 2.00, py = 3.00 and m = 150, what is the optimal bundle available to the consumer? c. Given that the price of commodity y increases by 20%, what becomes the new optimal bundle available to the consumer

Economics For Today
10th Edition
ISBN:9781337613040
Author:Tucker
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Chapter6: Consumer Choice Theory
Section6.A: Indifference Curve Analysis
Problem 10SQ
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Consider the Cobb-Douglas utility function of a consumer is given as
u (r y) := x"y"
where a > b and the sum(a, b) and the product(a, b) are 1 and 2/9 respectively, find
a. the budget needed, m, to be able to afford the desired utility number u if price of good r and
y are p, and py respectively.
b. Given that p, = 2.00, py = 3.00 and m = 150, what is the optimal bundle available to the
consumer?
c. Given that the price of commodity y increases by 20%, what becomes the new optimal bundle
available to the consumer
Transcribed Image Text:Consider the Cobb-Douglas utility function of a consumer is given as u (r y) := x"y" where a > b and the sum(a, b) and the product(a, b) are 1 and 2/9 respectively, find a. the budget needed, m, to be able to afford the desired utility number u if price of good r and y are p, and py respectively. b. Given that p, = 2.00, py = 3.00 and m = 150, what is the optimal bundle available to the consumer? c. Given that the price of commodity y increases by 20%, what becomes the new optimal bundle available to the consumer
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