Assume that a profit-maximizing, perfectly competitive firm hires labor in a perfectly competitive labor market. If the market wage is $12 per hour and the price of the product is $3 per unit, the firm will ahire more workers if each worker can produce 3 units per hour bhire another worker if the output per hour of the additional worker exceeds 4 units chire fewer workers, since the hourly wage exceeds the cost of producing one unit of output dcontinue to operate in the short run but not in the long run
Question
Assume that a profit-maximizing, perfectly competitive firm hires labor in a perfectly competitive labor market. If the market wage is 3 per unit, the firm will ahire more workers if each worker can produce 3 units per hour bhire another worker if the output per hour of the additional worker exceeds 4 units chire fewer workers, since the hourly wage exceeds the cost of producing one unit of output dcontinue to operate in the short run but not in the long run
Solution
The firm will hire another worker if the output per hour of the additional worker exceeds 4 units. Here's why:
The cost of hiring an additional worker is 12/3 = 3 per unit. Therefore, hiring more workers would not be profitable for the firm.
However, if an additional worker can produce more than 4 units per hour, the cost of producing each unit would be less than 12/5 = $2.4, which is less than the price of the product. Therefore, it would be profitable for the firm to hire this worker.
The firm would not hire fewer workers just because the hourly wage exceeds the cost of producing one unit of output. The firm's decision to hire workers depends on the marginal product of labor, which is the additional output that one more worker would produce. If the marginal product of labor is greater than the wage rate, the firm will hire more workers.
Finally, whether the firm continues to operate in the short run or the long run depends on whether it can cover its variable costs in the short run and both its variable and fixed costs in the long run. If the firm can sell its product at a price that covers these costs, it will continue to operate. Otherwise, it will shut down.
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