Question is in the attached image. Thank you!

3) Consider a firm that produces output y in a a perfectly competitive market and can charge the market price p = 5 which it takes as given. Sup- pose the firm is the only employer in the region and produces output using labor, x so that production is given by y = x. The firm is then a monopsonist and offers the wage w(x) = (2 + 5x) for each unit of labor that it uses so that the total cost is to the firm is w(y)y = w(x)x and the marginal cost is given by MC = (2 + 10x). a) Write down the profit maximization problem of the firm. b) What is the marginal revenue of the firm. c) calculate the number of labor units used, x, the wage w(x), the output y and the profit . d) At what wage will the there be an efficient use of labor? e) How could the government go about moving from the monopsonist labor outcome to a more efficient outcome