Cost function of the firm: C(W₁, W₂, W3, 9) = q² + 1 W₁ W₂ + 1) a) Find the conditional factor demands. Denote inputs by x₁. b) Find the unconditional factor demands, assuming that the firm faces a purely competitive market with output price p. c) Verify the firm's Slutsky equation for x₁. Obtain the substitution and scale effects. Will the demand for x₁ increase when output q increases?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.12P
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Cost function of the firm:
-1
1
+
+
W2
W3
1
C(w, W2, W3, q) = q?
W1
a) Find the conditional factor demands. Denote inputs by x;.
b) Find the unconditional factor demands, assuming that the firm faces a purely
competitive market with output price p.
c) Verify the firm's Slutsky equation for x1. Obtain the substitution and scale effects. Will
the demand for x, increase when output q increases?
Transcribed Image Text:Cost function of the firm: -1 1 + + W2 W3 1 C(w, W2, W3, q) = q? W1 a) Find the conditional factor demands. Denote inputs by x;. b) Find the unconditional factor demands, assuming that the firm faces a purely competitive market with output price p. c) Verify the firm's Slutsky equation for x1. Obtain the substitution and scale effects. Will the demand for x, increase when output q increases?
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