Chuck owns several hot dog carts in a large downtown area. He finds that he can sell

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Chuck owns several hot dog carts in a large downtown area. He finds that he can sell x hot dogs per day when the price of each hot dog is p = 4.2 − 0.01x dollars. The cost of preparing x hot dogs per day is C(x) = 0.002x2 + 30 dollars.

a. Express Chuck’s profit P as a function of sales x. Sketch the graph of the profit function.

b. What price p should Chuck charge to maximize profit?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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