(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 $9 per shirt. (Round your answer to two decimal places.) Interpret the result. The demand for E = mc² T-shirts is going down v by about % per 1% increase in the price. (c) How much should the Physics Club charge for the T-shirts to obtain the maximum daily revenue? 2$ What will the revenue be?

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 1.1CE
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The Physics Club sells E = mc? 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.
9 =
-2p2 + 33p
(9 < ps 15)
Here, p is the price the club charges per T-shirt, and g 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 v
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?
Transcribed Image Text:The Physics Club sells E = mc? 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. 9 = -2p2 + 33p (9 < ps 15) Here, p is the price the club charges per T-shirt, and g 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 v 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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