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. (b)Compute the elasticity of demand if the price is set at $10 per shirt. (Round your answer to two decimal places.) (c)How much should the Physics Club charge for the T-shirts to obtain the maximum daily revenue?

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