Answered: 2,700 p = $38 + D 5,000 for D > 1, D²

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.4: Powers Of Monimials

Problem 42WE

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A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is shown, where p is the price per unit in dollars and D is the demand per month. The company is seeking tomaximize its profit. The fixed cost is $1,000 per month and the variable cost (cv) is $40 per unit. Solve, a. What is the number of units that should be produced and sold each month to maximize profit? b. Show that your answer to Part (a) maximizes profit.

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