The relationship between the price and the demand of a certain product is described by the equation p+0.03x = 143, where p is the price per unit of the product, and x is the number of units produced. The cost of producing the product is given by the function C(x) = 75000 + 65x. How many number of units should be produced to yield the maximum profit?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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The relationship between the price and the demand of a certain product is described by the equation p+0.03x = 143, where p is the price per unit of the product, and x is the number of units produced. The cost of producing the product is given by the function C(x) = 75000 + 65x. How many number of units should be produced to yield the maximum profit?

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