The production function of firm is given by y=√√√x₁+√√√√x₂ where x1, x2 inputs are priced at w₁ and w₂ resp. The output price is p. (a) Derive the firm's unconditional input demand functions, and x. [Solve the firm's profit maximization problem] (b) Derive the output function and profit function, II(p, w₁, W₂) 811 (c) Verify Hotelling's Lemma: that др = y

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.2P
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only part (a) please, thank you.

5*. The production function of firm is given by
y=√√√x₁+√√√x₂
where x₁, x2 inputs are priced at w₁ and w₂ resp. The output price is p.
(a) Derive the firm's unconditional input demand functions, and x₂. [Solve the
firm's profit maximization problem]
(b) Derive the output function and profit function, II(p, w₁, W₂)
(c) Verify Hotelling's Lemma: that Op = y
Transcribed Image Text:5*. The production function of firm is given by y=√√√x₁+√√√x₂ where x₁, x2 inputs are priced at w₁ and w₂ resp. The output price is p. (a) Derive the firm's unconditional input demand functions, and x₂. [Solve the firm's profit maximization problem] (b) Derive the output function and profit function, II(p, w₁, W₂) (c) Verify Hotelling's Lemma: that Op = y
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