Mathematics, 01.11.2019 02:31 ofmiceandkj1
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?
$
Answers: 2
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