2. Assume that a firm has the following production function; q = L0.5K0.5. Its capital is fixed at K = 1. It faces a rental rate of r = $90 and a wage rate of W = $10. d. Determine the average, average variable, and average fixed cost functions. e. Determine the marginal cost function. f. Calculate the lowest cost, and associated quantity, that the firm can produce this good for in the short run. J

Microeconomic Theory
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ISBN:9781337517942
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Chapter10: Cost Functions
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Problem 10.3P
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2. Assume that a firm has the following production function; q = L0.5K0.5. Its
capital is fixed at K = 1. It faces a rental rate of r = $90 and a wage rate of
W = $10.
d. Determine the average, average variable, and average fixed cost
functions.
e. Determine the marginal cost function.
f. Calculate the lowest cost, and associated quantity, that the firm can
produce this good for in the short run.
Transcribed Image Text:2. Assume that a firm has the following production function; q = L0.5K0.5. Its capital is fixed at K = 1. It faces a rental rate of r = $90 and a wage rate of W = $10. d. Determine the average, average variable, and average fixed cost functions. e. Determine the marginal cost function. f. Calculate the lowest cost, and associated quantity, that the firm can produce this good for in the short run.
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