A baseball team plays in a stadium that holds 52000 spectators. With the ticket price at $8 the average attendance has been 21000. When the price dropped to $5, the average attendance rose to 26000.

a) Find the demand function $p(x)$, where $x$ is the number of the spectators. (Assume that $p(x)$ is linear.)

$p(x)=$

b) How should ticket prices be set to maximize revenue?

The revenue is maximized by charging $ per ticket.