manufacturer believes that the cost function C(x)=52x^2+125x+500  approximates the dollar cost of producing xx units of a product. The manufacturer believes it cannot make a profit when the marginal cost goes beyond $315. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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A manufacturer believes that the cost function
C(x)=52x^2+125x+500 
approximates the dollar cost of producing xx units of a product. The manufacturer believes it cannot make a profit when the marginal cost goes beyond $315. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production?

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