Suppose the hourly wage rate is $14, the rental price of capital is $2 and the price of output is constant at $42 per unit. Firm's production technology is q = 4K0.25E0.75, the marginal product of employment is MPE =3K0.25E-0.25 and the marginal product of capital is MPK = K 0.75 0.75. What is firm's optimal demand of labor if firm plans to produce q=19 units of outputs in the long-run? (please keep 1 decimal place in your answer)

Principles of Microeconomics (MindTap Course List)
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Author:N. Gregory Mankiw
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Chapter18: The Markets For The Factor Of Production
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Suppose the hourly wage rate is $14, the rental price of capital is $2 and the price of output is constant at $42 per unit. Firm's production
technology is q = 4K0.25 0.75, the marginal product of employment is MPE =3K0.25E-0.25 and the marginal product of capital is MPK = K™
0.75 0.75. What is firm's optimal demand of labor if firm plans to produce q=19 units of outputs in the long-run? (please keep 1 decimal
place in your answer)
Transcribed Image Text:Suppose the hourly wage rate is $14, the rental price of capital is $2 and the price of output is constant at $42 per unit. Firm's production technology is q = 4K0.25 0.75, the marginal product of employment is MPE =3K0.25E-0.25 and the marginal product of capital is MPK = K™ 0.75 0.75. What is firm's optimal demand of labor if firm plans to produce q=19 units of outputs in the long-run? (please keep 1 decimal place in your answer)
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