Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb-Douglas production function              Q=F(L,K)              Q=10L^0.25 K^0.25               where L is their number of workers and K is units of capital. The wage rate is $500 per week and a unit of capital costs $500 per week. Suppose that when initially producing 10 square feet a week, they use 1 unit of capital. a. What is their short-run cost of remodeling 80 square feet per week?     Instructions: Round your answer to the nearest whole number.     $  b. What is their short-run average cost of remodeling 80 square feet per week?     Instructions: Round your answer to the nearest whole number.     $  c. What is their long-run cost of remodeling 80 square feet per week?     Instructions: Round your answer to the nearest whole number.     $  d. What is their long-run average cost of remodeling 80 square feet per week?     Instructions: Round your answer to the nearest whole number.     $

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.10P
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Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb-Douglas production function

             Q=F(L,K)
             Q=10L^0.25 K^0.25

             

where L is their number of workers and K is units of capital. The wage rate is $500 per week and a unit of capital costs $500 per week. Suppose that when initially producing 10 square feet a week, they use 1 unit of capital.

a. What is their short-run cost of remodeling 80 square feet per week?

    Instructions: Round your answer to the nearest whole number.

    $ 

b. What is their short-run average cost of remodeling 80 square feet per week?

    Instructions: Round your answer to the nearest whole number.

    $ 

c. What is their long-run cost of remodeling 80 square feet per week?

    Instructions: Round your answer to the nearest whole number.

    $ 

d. What is their long-run average cost of remodeling 80 square feet per week?

    Instructions: Round your answer to the nearest whole number.

    $ 
revised jrl 08-11-2011
 
 
 
 
 
 
 
 
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