3. Augie and Corinne are mineral spring duopolists facing a market demand given by the equation p(Q) = 24 Q , whereQ = q A + qC . Fixed costs are zero for both, but Augie has a constant marginal cost of $6 per unit, whereas Corinne's marginal cost is zero.

a) Assuming that both behave as Cournot duopolists, derive the best-response functions of the two firms. What are the equilibrium levels of output, the market price, the profit of each firm and the value of consumer surplus?