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 = 10L0.25 K0.25 where L is their number of workers and K is units of capital. The wage rate is $160 per week and a unit of capital costs $100,000 per week. Suppose that when initially producing 10 square feet a week, they use 0.04 unit of capital. a. What is their short-run cost of remodeling 100 square feet per week?
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 = 10L0.25 K0.25 where L is their number of workers and K is units of capital. The wage rate is $160 per week and a unit of capital costs $100,000 per week. Suppose that when initially producing 10 square feet a week, they use 0.04 unit of capital. a. What is their short-run cost of remodeling 100 square feet per week?
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.9P
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Question
![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 = 10L0.25 K0.25
where Lis their number of workers and K is units of capital. The wage rate is $160 per week and a unit of capital costs $100,000 per
week. Suppose that when initially producing 10 square feet a week, they use 0.04 unit of capital.
a. What is their short-run cost of remodeling 100 square feet per week?
Instructions: Round your answer to the nearest whole number.
b. What is their short-run average cost of remodeling 100 square feet per week?
Instructions: Round your answer to the nearest whole number.
c. What is their long-run cost of remodeling 100 square feet per week?
Instructions: Round your answer to the nearest whole number.
d. What is their long-run average cost of remodeling 100 square feet per week?
Instructions: Round your answer to the nearest whole number.
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%24](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad0d9d95-bf6c-4e0a-be83-0e8d715809ee%2Fee56d088-a074-4f97-977e-d1f10537fdcb%2F7wp2ekm_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 = 10L0.25 K0.25
where Lis their number of workers and K is units of capital. The wage rate is $160 per week and a unit of capital costs $100,000 per
week. Suppose that when initially producing 10 square feet a week, they use 0.04 unit of capital.
a. What is their short-run cost of remodeling 100 square feet per week?
Instructions: Round your answer to the nearest whole number.
b. What is their short-run average cost of remodeling 100 square feet per week?
Instructions: Round your answer to the nearest whole number.
c. What is their long-run cost of remodeling 100 square feet per week?
Instructions: Round your answer to the nearest whole number.
d. What is their long-run average cost of remodeling 100 square feet per week?
Instructions: Round your answer to the nearest whole number.
%24
%24
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