1. A firms production function is given by Q = 10 x (EM + EF)1/2, where EM and EF are the quantities or male and female employees. Males and females are perfect substitutes. Please note that the marginal product of labor is given by the equation MPE = 5/(EM + EF)1/2. The firm sells its output for $50. The market wage for males is $25 and the market wage for females is $15.
a. How many male workers would the firm hire if the employer did not discriminate? How many female workers would be hired? What are the firmâ€TMs profits?
2. Suppose that everything is the same as reported in Question 1 except that the firm discriminates against females with a discrimination coefficient of 1.7. How many male workers will be hired? How many female workers will be hired? What are the firmâ€TMs profits?