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Davy Metal Company has the following production function:
Q = 500L0.6K0.8,
MPL = 300L-0.4K0.8
MPK = 400L0.6K-0.2
Employees earn $15 per hour. Rental charge is$50 per hour on capital. Davy forecasts annual costs of $500,000 per year.
a. Determine the firm's optimal capital-labor ratio, given the information above.
b. How much capital and labor should the firm employ, given the $500,000 budget? Calculate the firm'soutput. Please show all steps.
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