Given, the utility function is a Cobb-Douglas utility, u = x₁x), and budget m = pix1 + P2X2. a) Derive the optimal demand curve for good 1, xi(m,p1), and good 2, x.(m, p2). b) Assume m=160, p₁-8 and p2=1. Based on your answer in part a, what is the optimal consumption bundle (x₁,x₂)? c) Suppose price of good 1 falls to pi'=2 (while m=160 and p2=1 still). Using your answer
Given, the utility function is a Cobb-Douglas utility, u = x₁x), and budget m = pix1 + P2X2. a) Derive the optimal demand curve for good 1, xi(m,p1), and good 2, x.(m, p2). b) Assume m=160, p₁-8 and p2=1. Based on your answer in part a, what is the optimal consumption bundle (x₁,x₂)? c) Suppose price of good 1 falls to pi'=2 (while m=160 and p2=1 still). Using your answer
Chapter1: Making Economics Decisions
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![6. Given, the utility function is a Cobb-Douglas utility, u = XIX, and the budget constraint is
m = P1X1 + P2X2.
a) Derive the optimal demand curve for good 1, xi(m,p1), and good 2, x.(m, p2).
b) Assume m=160, p₁-8 and p2=1. Based on your answer in part a, what is the optimal
consumption bundle (x₁,x2)?
I
c) Suppose price of good 1 falls to pi'=2 (while m-160 and p2=1 still). Using your answer
in part a, find the new optimal consumption bundle (x:x2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41a11f92-ec66-4681-9866-6ecb7ea598eb%2F765f4b58-7dde-4125-b384-1f981097e139%2Fnw9e25_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Given, the utility function is a Cobb-Douglas utility, u = XIX, and the budget constraint is
m = P1X1 + P2X2.
a) Derive the optimal demand curve for good 1, xi(m,p1), and good 2, x.(m, p2).
b) Assume m=160, p₁-8 and p2=1. Based on your answer in part a, what is the optimal
consumption bundle (x₁,x2)?
I
c) Suppose price of good 1 falls to pi'=2 (while m-160 and p2=1 still). Using your answer
in part a, find the new optimal consumption bundle (x:x2).
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