Our friend owns a small one-screen movie theater and recently ran an experiment to determine the relationship between the price of a ticket and attendance. At a price of $10.00 per ticket, 200 people attend a performance. For each decrease in price by a quarter ($.25), the attendance increases by 15. Unfortunately, the increased attendance also comes at an increased cost in royalties and overhead. Every performance costs the owner $1000, plus five cents ($0.05) per attendee.

The owner would like to know the exact relationship between profit and ticket price and he would like to determine the price at which he can make the highest profit.

Write a code to solve the problem