Demand function of a competitive industry is : Px = 104 - Q where Q is total production of that industry. Production function for all firms at industry is q = L1/4K3/4. Wage per unit of labor (w) is 1 monetary unit and price per unit of capital (r) is 3. In short run in each of firms at industry there is a capital level of K=1.  It is asked: (a) In short run, calculate all cost curves of any firm at industry. b) In short run, determine market equilibrium that makes profit of each firm zero as well as number (n) of firms that would produce is this situation and obtain supply curve of industry. d) In long run calculate all cost curves of any firm at industry

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.3P
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Course: Microeconomics
Demand function of a competitive industry is : Px = 104 - Q where Q is total production of that industry. Production function for all firms at industry is q = L1/4K3/4. Wage per unit of labor (w) is 1 monetary unit and price per unit of capital (r) is 3. In short run in each of firms at industry there is a capital level of K=1
It is asked:
(a) In short run, calculate all cost curves of any firm at industry.
b) In short run, determine market equilibrium that makes profit of each firm zero as well as number (n) of firms that would produce is this situation and obtain supply curve of industry.
d) In long run calculate all cost curves of any firm at industry.

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