A firm faces perfectly elastic demand for its output at a price of $6 per unit of output. The firm, however, faces an upward-sloping labor supply curve of E = 20w - 120 where E is the number of workers hired each hour and w is the hourly wage rate. Thus, the firm faces an upward-sloped marginal cost of labor curve of MCE = 6 + 0.1E Each hour of labor produces five units of output. How many workers should the firm hire each hour to maximize profits? What wage will the firm pay? What are the firm’s hourly profits?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.6P
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A firm faces perfectly elastic demand for its output at a price of $6 per unit of output. The firm, however, faces an upward-sloping labor supply curve of E = 20w - 120 where E is the number of workers hired each hour and w is the hourly wage rate. Thus, the firm faces an upward-sloped marginal cost of labor curve of MCE = 6 + 0.1E Each hour of labor produces five units of output. How many workers should the firm hire each hour to maximize profits? What wage will the firm pay? What are the firm’s hourly profits?
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