3) Suppose that a firm's fixed proportion production function is given by q=min (5K, 10L), and that the rental rates for capital and labor are given by v=1, w=3. a.) What are the firm's long-run total, average, and marginal cost functions? b.) Suppose that K is fixed at 10 in the short-run. Calculate the firm's short-run total, average, and marginal cost curves. What is the marginal cost of the 10th unit? The 50th unit? The 100th unit?

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.3P
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3) Suppose that a firm's fixed proportion production function is given by
q=min (5K, 10L), and that the rental rates for capital and labor are given by v=1, w=3.
a.) What are the firm's long-run total, average, and marginal cost functions?
b.) Suppose that K is fixed at 10 in the short-run. Calculate the firm's short-run total,
average, and marginal cost curves. What is the marginal cost of the 10th unit?
The 50th unit? The 100th unit?
Transcribed Image Text:3) Suppose that a firm's fixed proportion production function is given by q=min (5K, 10L), and that the rental rates for capital and labor are given by v=1, w=3. a.) What are the firm's long-run total, average, and marginal cost functions? b.) Suppose that K is fixed at 10 in the short-run. Calculate the firm's short-run total, average, and marginal cost curves. What is the marginal cost of the 10th unit? The 50th unit? The 100th unit?
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