AOF is the only firm selling beer around Isla Vitas, which has a beer fountain in the backyard so the marginal cost of producing beer is 0. There are two groups of consumers: students and non students. The students' beer inverse demand function is p=50-5q, and the non-students' beer inverse demand function is p=10-2q. AOF sells beer in two sizes: 10 ounces bottle and 5 ounces can. Due to a local act, the consumers can only buy either 1 bottle or 1 can of beer. AOF can charge different prices on each bottle and each can of beer, while it cannot tell whether a customer is a student or not. In order to maximize the profits, how much should AOF charge its 10 ounces bottle?