Question 1 An indoor swimming pool can hold at most 100 people. With the ticket price at \( \$ 10 \), the average attendance is 50 people. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 10 . Likewise, for every dollar the ticket price is increased, attendance lowers by 10 .
(a) Find a function that models the revenue in terms of ticket price.
(b) What is the minimum ticket price so that the swimming pool is not overcrowded.
(c) Find the price that maximizes revenue from ticket sales.
(d) What ticket price is considered to be too high to generate any revenue?