If the pre-tax cost function for John's Shoe Repair is C(q) = 100 + 10q - q2 + (1⁄3q)2, and it faces a specific tax of = 10, what condition determines the profit-maximizing output if the market price is p? Can you solve for a single, profit-maximizing q in terms of p?

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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If the pre-tax cost function for John's Shoe Repair is C(q) = 100 + 10q - q2 + (1⁄3q)2, and it faces a specific tax of = 10, what condition determines the profit-maximizing output if the market price is p? Can you solve for a single, profit-maximizing q in terms of p?

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