A theater has 1500 seats. Theater patrons highly anticipate the first musical of the season, and the theater has already sold 750 preseason tickets. The theater sells out of tickets during the first week leading up to opening night. After the first performance, the musical gets bad reviews, and ticket sales decrease for the next two weeks. The theater lowers the ticket prices in an attempt to get more people to buy tickets at a discounted rate. Ticket sales slowly increase for the remaining three weeks of performances.
a) What are the constraints of the situation? Sketch a graph of the situation.
