A monopolistic producer produces two goods, Q1 and Q2, for which the demand functions are P1 = 138 - 1.5Q1 and P2 = 202 - 3.5Q2. The total cost function is C = 4Q1^2 + 2Q1Q2 + 3Q2^2 + 204. Find the profit-maximizing level of output for each product and prove that the profit is maximized. (8 marks)
b) Find the profit-maximizing price for each product. (2 marks)
c) Find the maximum profit. (2 marks)
Question 3 [8 marks]
Find the equilibrium price and then find the consumers' surplus and producers' surplus at the equilibrium price level.
p = D(x) = 20 - 0.05x
p = S(x) = 2 + 0.0002x^2.