3. Student daily demand for Vancouver Aquarium tickets is Q=50-2P. The non-student public demand is Q=50-P. The marginal cost of each visitor is 1.

a) If the aquarium could charge different prices for each group, what would be the profit maximizing price and quantity for each?

b) If the aquarium wants to offer a general admission price coupled with a "student discount", what percentage off the general admission price should it offer to students? In this scenario, what are the aquarium's profits?

c) If this form of discrimination were illegal (the combined demand equation would be Q=100-3P) what price would the aquarium charge? What would its profit be?

d) If the aquarium was able to perfectly discriminate among all customers (i.e. charge everyone their exact willingness to pay), what would profits be?