An amusement park, whose customer set is made up of two markets, adults and children, has developed demand schedules as follows:

Qa = 20 Pa where a is adult market

Qc = 30 2 Pc Where c is children market

QT = 50 3 PT where T is the two markets combined

Assume that the marginal cost of each unit of quantity is $5 (constant), the owners of the park want to maximize profit:

1. Calculate the price, quantity and profit if the amusement park charges a different price in each market.
2. Calculate the price, quantity and profit if the amusement park charges the same price in the two markets combined.