You are on the planning committee for your school dance. You know that T, ticket sales,

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You are on the planning committee for your school dance. You know that T, ticket sales, depends on the P, price of the tickets. You find that T=200-5P. You also find the income you make depends on the price, P. Your costs for the dance are a $200 rental fee and $100 for decorating supplies, plus $1 for each person who attends.
1)What ticket price is likely to give the maximum Income? Explain using words and a graph to support your answer.
2) What equation models the costs as a function of T, ticket sales?
3) What equation models the Profit, P
4)What ticket price is likely to give the maximum profit? 

How much is that profit? Explain using words and a graph to support your answer.