Student Council holds an annual talent show to raise money for the food bank.

Last year, tickets sold for $10 each and 75 people attended the show.

The student council has decided to lower the price to improve attendance and

revenue. They have determined that for every $1 decrease in price, 15 more

people will attend.

a) What ticket price will maximize the revenue?

b) What is the maximum revenue?

c) How many tickets will be sold when the revenue is maximized.