Monopoly Rinks is the only ice skating facility in Mapleville. The next closest rink is about 100 miles away. It has determined that its demand curve is
Q = 123 – 0.5P – 0.25 Pc + .01 Y
Where Q is the quantity of seasonal passes sold, P is the price for seasonal pass, Pc is the average price for concession items, and Y is average per capital income in Mapleville.
The local economists estimate that Y is equal to $12,000 and Monopoly has set Pc at $10. If Monopoly's MC of serving another customer is equal to $1, what is the profit maximizing price for seasonal passes?