3. Consider a firm that produces a single output Q using two inputs, 9₁ and 92. The production technology is the Cobb-Douglas: Let pi be the price of q₁, and p2 be the price of q2. Assume that the price of the output Q is 1. (b) Find the effect of an input price p2 change on the optimal quantity, 92, of the input good 2 using the implicit function theorem.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.2P
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3. Consider a firm that produces a single output Q using two inputs, q₁ and
production technology is the Cobb-Douglas:
Q = 9tq².
2 -
Let pi be the price of q1, and p2 be the price of q2. Assume that the price of the output
Q is 1.
(b)
Find the effect of an input price p2 change on the optimal quantity, q2, of
the input good 2 using the implicit function theorem.
Transcribed Image Text:3. Consider a firm that produces a single output Q using two inputs, q₁ and production technology is the Cobb-Douglas: Q = 9tq². 2 - Let pi be the price of q1, and p2 be the price of q2. Assume that the price of the output Q is 1. (b) Find the effect of an input price p2 change on the optimal quantity, q2, of the input good 2 using the implicit function theorem.
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