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 / √（Ef+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.