Suppose that Kerasotes Crown Village Theaters Cinema is a local monopoly. It estimated the following demand curves for different groups of customers:
Adults --> P=12-2Q
Children --> P=8-3Q
Students ---> P= 10-4Q
The marginal cost of the cinema is $2 per customer.
(a) What is the marginal revenue in each submarket?
(b) What price should the cinema charge in each of the submarkets if its goal is to maximize profits?