5. (10 marks) A boat builder uses labor and capital to produce boats as described by the following production function: Q (L, K) = 120K2L2 - K3L3 In the short-run, the firm's capital is fixed at 10 units. a. Obtain equation for the firm's total product curve. b. Obtain the firm's average and marginal product functions. c. At what level of labour use do diminishing marginal returns set in for the boat builder? d. At what level of labour is output maximized for the boat builder? e. What is the maximum number of boats the firm can produce in the short-run