In this problem, p is the price per unit in dollars and q is the number of units. If the demand and supply functions of a product are p = 6500 − 5q − 0.7q2 and p = 500 + 10q + 0.3q2, respectively, find the tax per unit t that will maximize the tax revenue T. t = $ /item

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter6: Elasticity
Section6.4: The Relationship Between Taxes And Elasticity
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In this problem, p is the price per unit in dollars and q is the number of units.

If the demand and supply functions of a product are

p = 6500 − 5q − 0.7q2 and p = 500 + 10q + 0.3q2,

respectively, find the tax per unit t that will maximize the tax revenue T.

t = $ /item
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