The production function for a competitive firm is Q = K.5L.5. The firm sells its output at a price of $10, and can hire labor at a wage of $5. Capital is fixed at 25 units. The profit-maximizing quantity of labor is

  • None of the statements associated with this question are correct

You are an efficiency expert hired by a manufacturing firm that uses K and L as inputs. The firm produces and sells a given output. If w = $40, r = $100, MPL = 20, and MPK = 40 the firm:

  • Should use more L and less K to cost minimize
If a firm’s production function is Leontief and the wage rate goes up the
  • Cost minimizing combination of capital and labor does not change

Suppose the production function is given by Q = 3K + 4L. What is the average product of capital when 5 units of capital and 10 units of labor are employed?

  • 11

Suppose the production function is given by Q = 3K + 4L. What is the marginal product of capital when 5 units of capital and 10 units of labor are employed?

  • 3

Suppose the production function is given by Q = min {K, L}. How much output is produced when 4 units of labor and 9 units of capital are employed?

  • 9

Suppose the production function is given by Q = min{K, L}. How much output is produced when 10 units of labor and 9 units of capital are employed?

  • 9

Suppose the production function is given by Q = 3K + 4L. What is the marginal product of capital when 10 units of capital and 10 units of labor are employed?

  • 3

Suppose the production function is given by Q = 3K + 4L. What is the average product of capital when 10 units of capital and 10 units of labor are employed?

  • 7

Suppose the production function is Q = min {K, 2L}. How much output is produced when 4 units of labor and 9 units of capital are employed?

  • 8

Suppose the marginal product of labor is 8 and the marginal product of capital is 2. If the wage rate is $4 and the price of capital is $2, then in order to minimize costs the firm should use

  • More labor and less capital