Suppose that firms face the following production function: Q = L+7* +K+/*. Suppose also that price of labor (L)=w=8 and price of capital (K)=r=1. If the firm wants to produce 6 units of output, what is the optimum amount of labor, capital and associated cost respectively?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.9P
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Suppose that firms face the following production function: Q = L/4 + K/4 Suppose also that price of
labor (L)=w=8 and price of capital (K)=r=1. If the firm wants to produce 6 units of output, what is the
optimum amount of labor, capital and associated cost respectively?
O 1, 625, 633
256, 16, 2064
16, 256, 384
81, 81, 729
Transcribed Image Text:Suppose that firms face the following production function: Q = L/4 + K/4 Suppose also that price of labor (L)=w=8 and price of capital (K)=r=1. If the firm wants to produce 6 units of output, what is the optimum amount of labor, capital and associated cost respectively? O 1, 625, 633 256, 16, 2064 16, 256, 384 81, 81, 729
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