Abaseball team plays in a stadium that holds 58,000 spectators. with the ticket price at $10, the average attendance at recent games has been 24,000. a market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000.

(a) find a function that models the revenue in terms of ticket price. (let x represent the price of a ticket and r represent the revenue.)
r(x) =

(b) find the price that maximizes revenue from ticket sales.

(c) what ticket price is so high that no revenue is generated?