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Suppose the production function for high-quality Brandy is given by: q=K^1/2L^1/2, where q is the output of brandy per week and L is labor hours per...

Suppose the production function for high-quality Brandy is given by: q=K^1/2L^1/2, where q is the output of brandy per week and L is labor hours per week.  In the short run, K is fixed at 100, so the short run production function is: q=10L^1/2.
a) If capital rents for \$10 each and wages are \$5 per hour, show that the short run total costs are: STC=1000 + .05q^2
b) how much will the firm produce at a price of \$20 per bottle of brandy? How many labor hours will be hired per week? What profit will the firm make? Explain

Suppose the production function for high-quality Brandy is given by: q=K^1/2L^1/2, where q is the output of
brandy per week and L is labor hours per week. In the short run, K is fixed at 100, so...

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