If the demand curve is Q(p) = p^a (where a < 0), what is the elasticity of demand? If the marginal cost is $2, and a = -4, what is the profit-maximising price?
Consider an example of the third degree price discrimination. There are two groups of consumers. Consumers are identical within each group. In group 1, the demand function is P = 6 - 3Q, in group 2, the demand function is P=5-2Q. The marginal cost of production is 1. Find out the optimal price for each group.