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

Suppose that a consumer’s preferences are well behaved in that properties 4-1-4-4 are satisfied and the initial equilibrium consumption bundle consists of 100 units of X and 50 units of Y. If PX increases such that the new equilibrium consumption bundle is 150 units of X and 75 units of Y, then goods X and Y are

  • Complements

Suppose that a consumer’s preferences are well behaved in that properties 4-1-4-4 are satisfied and the initial budget constraint is given by 300 = 2X + 4Y. At the initial budget constraint, this consumer purchases 100 units of good X and 25 units of good Y. Suppose the price of X increases to $4 per unit resulting in a new consumption bundle consisting of 60 units of X and 15 units of Y. Then, slope of the inverse demand for good X over this consumption range is

  • -0.05

Suppose that consumers’ preferences are well behaved in that properties 4-1-4-4 are satisfied. Furthermore, assume that X is a normal good, Y is an inferior good and that the price of good Y decreases. Then, which of the following effect is known with certainty.

  • The income and substitution effect reinforce one another leading to an overall decrease the consumption of good X

Suppose that consumers’ preferences are well behaved in that properties 4-1-4-4 are satisfied. Furthermore, assume that X is a normal good, Y is an inferior good and that the price of good Y increases. Then, which of the following effect is known with certainty.

  • The income and substitution effect will have competing effects leading to an indeterminate impact on the consumption of good Y

Suppose that consumers’ preferences are well behaved in that properties 4-1-4-4 are satisfied. Furthermore, assume that both X and Y are normal goods and that the price of good Y increases. Then, which of the following effect is known with certainty.

  • There will be an indeterminate effect on the consumption of good X

Suppose that consumers’ preferences are well behaved in that properties 4-1-4-4 are satisfied. Furthermore, assume that both X and Y are normal goods and that the price of good Y decreases. Then, which of the following effect is known with certainty.

  • The income and substitution effect will reinforce one another leading to an overall increase in the consumption of good Y