QUESTION 23 A wheat farmer has a production function of q = KL = K0.5L0.5 with marginal products MPL = 0.5K0.5L -0.5, K = 0.5, -0.5 0.5 MPK = 0.5K-0.5L = 0.5, Calculate the cost-minimizing amount of capital to produce 300 units of output if the wage rate is 12 and the user cost of capital is 3.

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter12: The Cost Of Production
Section: Chapter Questions
Problem 4CQQ
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QUESTION 23
A wheat farmer has a production function of
q = VKL = K0.5L0.5
with marginal products
MPL = 0.5k0.5L-0.5
-0.5, 0.5
MPK = 0.5K-0.5
=0.5,
K
Calculate the cost-minimizing amount of capital to produce 300 units of output if the wage rate is 12 and the user cost of capital is 3.
Transcribed Image Text:QUESTION 23 A wheat farmer has a production function of q = VKL = K0.5L0.5 with marginal products MPL = 0.5k0.5L-0.5 -0.5, 0.5 MPK = 0.5K-0.5 =0.5, K Calculate the cost-minimizing amount of capital to produce 300 units of output if the wage rate is 12 and the user cost of capital is 3.
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