5. Suppose a firm's production function is given by: q=10√/Ef + Em where Ef and Em are the number of female workers and male workers employed by the firm respectively. Suppose the market wage for female workers is $10, the market wage for male workers is $20, and the price of each unit of output is $100. Which of the following statements is correct? (a) Male workers and female workers are perfect complements in this firm's pro- duction function. (b) Male workers and female workers are not perfect substitutes in this firm's production function. (c) The marginal product of a male worker is higher than the marginal product of a female worker. (d) The marginal product of a male worker is 10 E₁+Em (e) The marginal product of a female worker is 5 Ef+Em (f) The profit maximizing inputs by a non-discriminating firm consist of one third female workers and two thirds male workers. (g) The profit maximizing inputs by a non-discriminating firm consist of two thirds female workers and one third male workers. (h) The profit maximizing inputs by a non-discriminating firm consist of equal numbers of male and female workers.

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Chapter1: Making Economics Decisions
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5. Suppose a firm's production function is given by:
q=10√/Ef + Em
where Ef and Em are the number of female workers and male workers employed
by the firm respectively. Suppose the market wage for female workers is $10, the
market wage for male workers is $20, and the price of each unit of output is $100.
Which of the following statements is correct?
(a) Male workers and female workers are perfect complements in this firm's pro-
duction function.
(b) Male workers and female workers are not perfect substitutes in this firm's
production function.
(c) The marginal product of a male worker is higher than the marginal product
of a female worker.
10
(d) The marginal product of a male worker is
√EJ+Em
5
(e) The marginal product of a female worker is
√Ef+Em
(f) The profit maximizing inputs by a non-discriminating firm consist of one third
female workers and two thirds male workers.
(g) The profit maximizing inputs by a non-discriminating firm consist of two thirds
female workers and one third male workers.
(h) The profit maximizing inputs by a non-discriminating firm consist of equal
numbers of male and female workers.
Transcribed Image Text:5. Suppose a firm's production function is given by: q=10√/Ef + Em where Ef and Em are the number of female workers and male workers employed by the firm respectively. Suppose the market wage for female workers is $10, the market wage for male workers is $20, and the price of each unit of output is $100. Which of the following statements is correct? (a) Male workers and female workers are perfect complements in this firm's pro- duction function. (b) Male workers and female workers are not perfect substitutes in this firm's production function. (c) The marginal product of a male worker is higher than the marginal product of a female worker. 10 (d) The marginal product of a male worker is √EJ+Em 5 (e) The marginal product of a female worker is √Ef+Em (f) The profit maximizing inputs by a non-discriminating firm consist of one third female workers and two thirds male workers. (g) The profit maximizing inputs by a non-discriminating firm consist of two thirds female workers and one third male workers. (h) The profit maximizing inputs by a non-discriminating firm consist of equal numbers of male and female workers.
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