In: Math
A university is trying to determine what price to charge for tickets to football games. At a price of $27 per ticket, attendance averages 40,000 people per game. Every decrease of $33 adds 10,000 people to the average number. Every person at the game spends an average of $4.50 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price?