A profit-maximizing, perfectly competitive firm produces a single output from two inputs. The logarithm of the maximized profit function is given by: Int (p,r, w) = a, + a, In w + a, In r + a, ln p

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.9P
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A profit-maximizing, perfectly competitive
firm produces a single output from two
inputs. The logarithm of the maximized
profit function is given by:
Int (p,r,w) = a, + a, In w+ a, ln r + a, In p
where w, r, and p denote the price of labor,
the price of capital, and the price of the
firm's output, respectively.
a) Derive the supply function and the
demand functions for capital and labor.
b) What restrictions can you place on the
parameters a1, a2, and a3?
Transcribed Image Text:A profit-maximizing, perfectly competitive firm produces a single output from two inputs. The logarithm of the maximized profit function is given by: Int (p,r,w) = a, + a, In w+ a, ln r + a, In p where w, r, and p denote the price of labor, the price of capital, and the price of the firm's output, respectively. a) Derive the supply function and the demand functions for capital and labor. b) What restrictions can you place on the parameters a1, a2, and a3?
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