Can someone explain to me how to work through this Calculus problem, help please?!
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Can someone explain to me how to work through this Calculus problem, help please?!

[From: ] [author: ] [Date: 11-10-19] [Hit: ]
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 $15 per shirt.(c) How much should the Physics Club charge for the T-shirts in order to obtain the maximum daily revenue?(d)What will the revenue be?......
A quadratic regression based on old sales data reveals the following demand equation for the T-shirts:

q = −2p^2 + 24p (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 $15 per shirt.

(c) How much should the Physics Club charge for the T-shirts in order to obtain the maximum daily revenue?

(d)What will the revenue be?

-
q = −2p^2 + 24p (9 ≤ p ≤ 15)

E = -(p/q)dq/dp = -[(-4p + 24)][p/(-2p² + 24p)] = (12- 2p)/(p - 12)

p = 15 ==> E = - 6 ===> inelastic

max revenue for E = 1

==> 12- 2p = p - 12 ==> p = 8

q(8) = 64
1
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