Suppose that a firm that produces face masks is in a long-run equilibrium setting where it has 3 units of capital and 3 units of labor, where MRTS = w/r, and where the firm is maximizing profits. Then suddenly in March 2020, the price of face masks increases due to increasing demand: In a graph with capital on the y-axis and labor on the x-axis, graph how the increase in price will change the firm’s input choices (labor and capital) in the short-run (when only labor can adjust). Will the new choice of inputs be on the expansion path? Suppose that new entry into the face mask production industry is impossible. In the same graph, graph how the increase in price will change the firm’s input choices in the long-run (when both labor and capital can adjust). Will the new choice of inputs be on the expansion path? Now suppose that entry into the face mask industry is free and that this is a constant cost industry. What will happen to the price in the long run? How will the firm’s input choices (labor and capital) change in the long-run?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.14P
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  1. Suppose that a firm that produces face masks is in a long-run equilibrium setting where it has 3 units of capital and 3 units of labor, where MRTS = w/r, and where the firm is maximizing profits. Then suddenly in March 2020, the price of face masks increases due to increasing demand:
    1. In a graph with capital on the y-axis and labor on the x-axis, graph how the increase in price will change the firm’s input choices (labor and capital) in the short-run (when only labor can adjust). Will the new choice of inputs be on the expansion path?
    2. Suppose that new entry into the face mask production industry is impossible. In the same graph, graph how the increase in price will change the firm’s input choices in the long-run (when both labor and capital can adjust). Will the new choice of inputs be on the expansion path? 
    3. Now suppose that entry into the face mask industry is free and that this is a constant cost industry. What will happen to the price in the long run? How will the firm’s input choices (labor and capital) change in the long-run?
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