Consider a firm that is a sole producer of Soybean Helper. The manufacturer's cost of producing soybean helper is $3 per patty. Soybean Helper is used to make soy burgers. There are two outlets for soy burgers, and these outlets demand curve for Soybean Helper are p= 100-q^2and p=120-2q^2.

(a) If the Soybean Helper producer can charge the two soy burgers outlets different prices, what are the optimal prices and profit?

(b) Now suppose that the Soybean Helper firm chooses only a single price for both outlets. What is the single price?