The physics club sells e = mc2 t-shirts at the local flea market. unfortunately, the club's previous administration has been losing money for years, so you decide to do an analysis of the sales. a quadratic regression based on old sales data reveals the following demand equation for the t-shirts:

q = −2p2 + 33p (9 ≤ p ≤ 15).
here, p is the price the club charges per t-shirt, and q is the number it can sell each day at the flea market.

(a) obtain a formula for the price elasticity of demand for e = mc2 t-shirts.
e =
1

(b) compute the elasticity of demand if the price is set at $10 per shirt. (round your answer to two decimal places.)
2

interpret the result.
the demand for e = mc2 t-shirts is going (up or down) by about 4% per 1% increase in the price.

(c) how much should the physics club charge for the t-shirts in order to obtain the maximum daily revenue?
$5

what will the revenue be?
$