The Hickory Cabinet and Furniture Company makes chairs. The fixed cost per month of making chairs is $7,500, and the variable cost per chair is $40. Price is related to demand, according to the following linear equation: v = 400 - 1.2p Develop the nonlinear profit function for this company and determine the price that will maximize profit, the optimal volume, and the maximum profit per month.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.4P
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The Hickory Cabinet and Furniture Company makes chairs. The fixed cost per month of making
chairs is $7,500, and the variable cost per chair is $40. Price is related to demand, according to
the following linear equation: v = 400 - 1.2p Develop the nonlinear profit function for this company and determine the price that will maximize
profit, the optimal volume, and the maximum profit per month.

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