Question

Suppose that the production function for Hannah and Sam's home remodeling business is             Q = F(L,K)...

Suppose that the production function for Hannah and Sam's home remodeling business is

            Q = F(L,K)

            Q = 10L0.2K0.3.

Assume the wage rate is $8,000 per week and the cost of renting a unit of capital is $2,000 per week.

a. What is the least-cost input combination for remodeling 500 square feet each week?

    Instructions: Round your answers to 2 decimal places.

     units of labor and  units of capital.

b. What is the total cost?     

    Instructions: Round your answer to 2 decimal places.

    $.

Homework Answers

Answer #1

Least cost input combination is 853.19 units of labour and 5119.18 units of capital. Total cost is $ 17,063,880. The calculations and detailed explanation are in following 3 images:

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