Knoebels Amusement Park in Elysburg, Pennsylvania, charges an access fee, , to enter its Crystal Pool. It

Knoebels Amusement Park in Elysburg, Pennsylvania, charges an access fee, ℒ, to enter its Crystal Pool. It also charges p per trip down the pool's water slides. Suppose that 400 teenagers visit the park, each of whom has a demand function of q1 = 5 - p, and that 400 seniors also visit, each of whom has a demand function of q2 = 4 - p. Knoebels' objective is to set ℒ and ( so as to maximize its profit given that it has no (non-sunk) cost and must charge both groups the same prices. What are the optimal ℒ and (?