The firm's production function is given as: Q (L,K) = 2L + 30K. The costs of Labor (L) and Capital (K) are given as: w = $20 and r= $2 and firm's desired level of output (Q) is 1,000 units. Based on this information, what is the I input (L,K) combination for this firm? %3D a. K=40, L=600 b. K=40, L=0 c. K=0, L=40 d. K=0, L=600

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.3P
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The firm's production function is given as: Q
(L,K) = 2L + 3OK.
The costs of Labor (L) and Capital (K) are
given as: w = $20 and r= $2 and firm's
desired level of output (Q) is 1,000 units.
Based on this information, what is the I
input (L,K) combination for this firm?
a. K=40, L=600
b. K=40, L=0
c. K=0, L=40
d. K=0, L=600
Transcribed Image Text:The firm's production function is given as: Q (L,K) = 2L + 3OK. The costs of Labor (L) and Capital (K) are given as: w = $20 and r= $2 and firm's desired level of output (Q) is 1,000 units. Based on this information, what is the I input (L,K) combination for this firm? a. K=40, L=600 b. K=40, L=0 c. K=0, L=40 d. K=0, L=600
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