Hosting a convention: You are hosting a convention for a charitable organization. You pay a rental fee of $25,000 for the convention center, plus you pay the caterer $12 for each person who attends...

Hosting a convention: You are hosting a convention for a charitable organization. You pay a rental fee of $25,000 for the convention center, plus you pay the caterer $12 for each person who attends the convention. Suppose you just want to break even.

a. Use a formula to express the amount you should charge per ticket as a function of the number of people attending. Be sure to explain the meaning of the letters you choose and the units.

b. Make a graph of the function that gives the amount you should charge per ticket. Include attendance sizes up to 1000.

c. How many must attend if you are to break even with a ticket price of $50?