3. (15 marks) Consider a firm that is a sole producer of Soybean Helper again. The manufacturer's cost of producing soybean helper is $3 per patty. Soybean Helper is used to make soy burgers. There are two types of customers for whom the demand curves for Soybean Helper are p(q, ) = 100-q, and p(q2 ) =80-0.5q, respectively. (a) if all customers are type I customer, find the prices and profits in a two-part tariff regime. (b) if half of the customers are type I and the other half are type II, find the prices and profits in a two-part tariff regime