The New England Patriots are a professional American football team based in the Greater Boston area. The Patriots play their home games at Gillette Stadium in the town of Foxborough, Massachusetts. The seating capacity of Gillette Stadium is 60,000 (not including club and luxury seats). The Patriots play ten (10) games at Gillette Stadium during the season and fans have two options to get tickets: Season Passes: Every season pass grants the holder access to two seats on every home game for one season. Season passes are sold a few months before the start of the season. Based on historical data, the forecasted demand for season passes is DS = 20,000 - 5 PS, where PS is the price of a pass and DS is the number of season passes that could be sold. Game Tickets: A game ticket grants the holder access to one seat in a single specific game. Game tickets are sold throughout the season before each game. For each game, the forecasted demand for game tickets is DG = 100,000 - 200 PG, where PG is the price of a ticket and DG is the number of game tickets that could be sold. a)