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Davy Metal Company produces brass fittings. Davy's engineers estimate the production function represented below as relevant for their long-run capital labor decisions.

Q = 500L0.6K0.8,

                        Where Q = annual output measured in pounds,

                        L = labor measured in person hours,

                        K = capital measured in machine hours.

Davy's employees are relatively highly skilled and earn $15 per hour. The firm estimates a rental charge of $50 per hour on capital. Davy forecasts annual costs of $500,000 per year, measured in real dollars.

a. Write the equation for the isocost line.

b. Determine the MRTS for the firm.

c. Determine the firm's optimal capital-labor ratio (expansion path).

d. How much capital and labor should the firm employ given a $500,000 budget?

e. Determine the firm's output.f. Is this an increasing, decreasing, or constant returns to scale production function? Explain

Business Economics, Economics

  • Category:- Business Economics
  • Reference No.:- M91588212

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