n this problem, p is the price per unit in dollars and q is the number of units. If the weekly demand function is p = 200 − 2q2 and the supply function before taxation is p = 20 + 3q, what tax per item will maximize the total tax revenue? $

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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In this problem, p is the price per unit in dollars and q is the number of units.

If the weekly demand function is 

p = 200 − 2q2

 and the supply function before taxation is 

p = 20 + 3q,

 what tax per item will maximize the total tax revenue?

$
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