he 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 + 30p (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 = (b) Compute the elasticity of demand if the price is set at $9 per shirt. (Round your answer to two decimal places.) Interpret the result. The demand for E = mc2 T-shirts is going down by about ____% per 1% increase in the price. (c) How much should the Physics Club charge for the T-shirts to obtain the maximum daily reve
he 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 + 30p (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 = (b) Compute the elasticity of demand if the price is set at $9 per shirt. (Round your answer to two decimal places.) Interpret the result. The demand for E = mc2 T-shirts is going down by about ____% per 1% increase in the price. (c) How much should the Physics Club charge for the T-shirts to obtain the maximum daily reve
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4: Estimating Demand
Section: Chapter Questions
Problem 5E
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Question
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 + 30p (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 =
(b)
Compute the elasticity of demand if the price is set at $9 per shirt. (Round your answer to two decimal places.)
Interpret the result.
The demand for E = mc2 T-shirts is going down by about ____% per 1% increase in the price.
(c)
How much should the Physics Club charge for the T-shirts to obtain the maximum daily revenue?
$
What will the revenue be?
$
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