The profit maximizing number of workers, wage, and the hourly profit of the firm.

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Chapter 4, Problem 8P

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The profit maximizing number of workers, wage, and the hourly profit of the firm.

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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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A firm faces a perfectly elastic demand for its output at a price of $6 per unit of output. The firm, however, faces an upward-sloped labor supply curve ofE = 20w - 120where 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 ofMCE = 6 + 0.1EEach 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?