4. 5. A monopolist produces two goods with demand functions: P = 644q, P = 72-5q2 (a) Determine the monopolist's total revenue function. [5 marks] (b) Using first and second-order conditions, determine the revenue maximising levels of demand. [15 marks] (c) Explain why, in general, revenue maximising and profit maximising yield different [5 marks] answers. (a) Marginal cost is MC = 30-36x+6x, determine the average cost function. [7 marks] 4 (b) Marginal revenue is MR =6 , determine the average revenue function. [7 marks] dk 2 (c) The rate of change of capital stock is: = -0.8t + 7t+12 where K is capital dt stock and t is time in years. Find the capital accumulated in: (i) the first three years and (ii) years three to six. [11 marks]