Baseball team plays in the stadium which holds 57,000 spectators. With ticket price at $10, average attendance at recent games has been 21,000. The market survey indicates that for every dollar ticket price is lowered, attendance increases by 3000.
(a) Determine the function which models revenue in terms of ticket price. (Let x be ticket price and R(x) be revenue.)
(b) Determine price which maximizes revenue from ticket sales.
(c) What ticket price is so high that no revenue is made?