[3 QUESTIONS]

A firm's production function is given by Q = 1L + 3K. If the firm's level of K is fixed at K = 12 in the short run, how much labor does the firm require to produce Q = 108 units of output? Round your answer to one decimal place.

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In the short run, a diminishing marginal product of a variable input (such as labor) causes....? (Choose 1)

A. Only (A) and (B) are true.

B. All of (A), (B), and (C) are true.

C. (A) marginal cost to be increasing.

D. (C) total cost to be increasing at an increasing rate.

E. (B) average variable cost to be increasing.

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If a producer's total cost function is given byTC= 183 + 6Q, how much are the firm's fixed costs when it produces quantity Q = 100? Round your answer to one decimal place.