Quiz 6 Practice Problems Question 1: The production function is given by Y = 2 Sqrt(L) + 2 Sqrt (K) where L denotes labor and K denotes capital. MPL = 1/Sqrt(L) and MPK = 1/Sqrt(K). The firm has a fixed amount of capital, K = 4, and can expand production by hiring more workers only. The output is p, the price of labor is wL and the price of capital is wk. a. Graph the production function for 1 = 0 to 100

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Quiz 6 Practice Problems
Question 1: The production function is given by Y = 2 Sqrt(L) + 2 Sqrt (K) where L denotes labor and K
denotes capital. MPL = 1/Sqrt(L) and MPK = 1/Sqrt(K). The firm has a fixed amount of capital, K = 4, and can
expand production by hiring more workers only. The output is p, the price of labor is wL and the price of
capital is wk.
a. Graph the production function for I = 0 to 100
b. Find the labor demand equation.
The following year the firm increased capital to 9 units. Assume that p, wl, and wK are unchanged.
c. Will the firm hire more workers to use the additional capital? Explain by referring to the labor
demand equation AND to the graph.
Transcribed Image Text:Quiz 6 Practice Problems Question 1: The production function is given by Y = 2 Sqrt(L) + 2 Sqrt (K) where L denotes labor and K denotes capital. MPL = 1/Sqrt(L) and MPK = 1/Sqrt(K). The firm has a fixed amount of capital, K = 4, and can expand production by hiring more workers only. The output is p, the price of labor is wL and the price of capital is wk. a. Graph the production function for I = 0 to 100 b. Find the labor demand equation. The following year the firm increased capital to 9 units. Assume that p, wl, and wK are unchanged. c. Will the firm hire more workers to use the additional capital? Explain by referring to the labor demand equation AND to the graph.
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