2' Six Flags Amusement Park segments its patrons into two markets: locals (L) and tourists (T) It estimates that demand for overnight lodging services, Q, are as follows: PL = 40 - .5 QL and PT = 50 - .4 Q1, where P is in dollars per unit, and Q is thousands of patrons. Total costs are estimated to be TC = $700,000 + 20 Q. a) Determine Six F lags' optimal price levels under price discrimination. b) Calculate how the answers in a) change if there is lodging accomodation for a maximum of 44 thousand patrons (Le, if the output constraint is Q : 44)