3) Assume that a fim which produces an output according to the following function is attempting to minimize cost in the long run: q = f (K, L) = (0.5KV2 +0.5LV2)/2 a) Assuming K is fixed at 36, P=16, v=1, and w=1, what is the firm's short run cost function? Compute this firm's profit maximizing demand of L in the short run b) Compute this firm's cost minimizing (quantity constant) input demand functions. c) What are the firm's total cost and supply functions?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
Problem 5E
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3) Assume that a fim which produces an output according to the following function is
attempting to minimize cost in the long run q = f (K, L) = (0.5K/2 +0.5L12)1/2
a) Assuming K is fixed at 36, P=16, v=1, and w=1, what is the firm's short run cost
function? Compute this firm's profit maximizing demand of L in the short run
b) Compute this firm's cost minimizing (quantity constant) input demand functions.
c) What are the firm's total cost and supply functions?
d) Compute this firm's profit maximizing supply in the long run.
e) Compute this firm's profit maximizing demand functions for K and L in the long run.
Transcribed Image Text:3) Assume that a fim which produces an output according to the following function is attempting to minimize cost in the long run q = f (K, L) = (0.5K/2 +0.5L12)1/2 a) Assuming K is fixed at 36, P=16, v=1, and w=1, what is the firm's short run cost function? Compute this firm's profit maximizing demand of L in the short run b) Compute this firm's cost minimizing (quantity constant) input demand functions. c) What are the firm's total cost and supply functions? d) Compute this firm's profit maximizing supply in the long run. e) Compute this firm's profit maximizing demand functions for K and L in the long run.
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