Question 3: Suppose a firm has the following production function: Q(L, K) = 2L + K Recall that the isocost line is as follows: C=wL+rK

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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Question 3:
Suppose a firm has the following production function:
Q(L, K) = 2L + K
Recall that the isocost line is as follows:
C=wL+rK
1. What is the (long-run ) optimal choice of L and
K for a given Q, w, and r? In other words,
provide a formula for the optimal choice of labor
L* (w, r, Q) and capital K* (w, r, Q) as a
function of the parameters Q, w, and r.
Transcribed Image Text:Question 3: Suppose a firm has the following production function: Q(L, K) = 2L + K Recall that the isocost line is as follows: C=wL+rK 1. What is the (long-run ) optimal choice of L and K for a given Q, w, and r? In other words, provide a formula for the optimal choice of labor L* (w, r, Q) and capital K* (w, r, Q) as a function of the parameters Q, w, and r.
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