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Profit-maximizing behavior in perfectly competitive factor markets

Zadanie

Slytherthings, Inc. is a perfectly competitive firm producing lockets. It pays $60 per unit for the 10 units of capital it uses, and the marginal product of the 10th unit of capital is 420 lockets. The firm can’t change its use of capital in the short run, but it can change its use of labor, and it can hire as much labor as it wants at a wage of $30. The firm’s production function is given in the table shown here:
Units of laborTotal output
00
1750
21420
31920
42270
52480
62580
72540
How many units of labor should the firm hire to minimize costs and maximize profits?
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