Imagine that the price of input 1 is $16 per unit, the price of input 2 is $25 per unit, and the firm has fixed costs of $60. The firm is in a competitive market where the market price is $240 per unit of output. How much should the firm produce? How much profit does the firm make?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.7P
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Imagine that the price of input 1 is $16 per unit, the price of input 2 is $25 per unit, and the firm has fixed costs of $60. The firm is in a competitive market where the market price is $240 per unit of output. How much should the firm produce? How much profit does the firm make?

(b) What is the firm's marginal cost when it is producing y units of output?
Transcribed Image Text:(b) What is the firm's marginal cost when it is producing y units of output?
A firm produces its output using the following production function:
1 = x ²³ x ²/2
f(x₁, x₂) = x
where x₁ is the amount of input 1 and x₂ is the amount of input 2.
(a) Find the conditional input demand function for inputs 1 and 2, as well as the cost function for this firm.
Transcribed Image Text:A firm produces its output using the following production function: 1 = x ²³ x ²/2 f(x₁, x₂) = x where x₁ is the amount of input 1 and x₂ is the amount of input 2. (a) Find the conditional input demand function for inputs 1 and 2, as well as the cost function for this firm.
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