2. Consider the following information of a hypothetical firm: Q = 100K0.6 L0.8; w = :1; r = 3 A. Solve for the cost-minimizing quantity of capital (K*) and labor (L*), and the minimum cost (C*) if the firm targets to produce 3,000 units of output. B. If target output increases to 6,000 units, solve for the new cost-minimizing quantity of capital and labor, and the minimum cost. C. Graphically illustrate the expansion path for the firm if it decides to increase its target output from 3,000 units to 6,000 units.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.9P
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2. Consider the following information
of a hypothetical firm:
Q = 100Kº.6 L0.8; w =
1; r = 3
A. Solve for the cost-minimizing
quantity of capital (K*) and
labor (L*), and the minimum
cost (C*) if the firm targets
to produce 3,000 units of
output.
B. If target output increases to
6,000 units, solve for the new
cost-minimizing quantity of
capital and labor, and the
minimum cost.
C. Graphically illustrate the
expansion path for the firm if
it decides to increase
its target output from 3,000
units to 6,000 units.
Transcribed Image Text:2. Consider the following information of a hypothetical firm: Q = 100Kº.6 L0.8; w = 1; r = 3 A. Solve for the cost-minimizing quantity of capital (K*) and labor (L*), and the minimum cost (C*) if the firm targets to produce 3,000 units of output. B. If target output increases to 6,000 units, solve for the new cost-minimizing quantity of capital and labor, and the minimum cost. C. Graphically illustrate the expansion path for the firm if it decides to increase its target output from 3,000 units to 6,000 units.
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