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2.5 Exercise 87

Avg difficulty 2.5

Suppose that an equation is given p=−2 x 2 +280x−1000, p = −2 x^{2} + 280 x - 1000 , where x x represents the number of items sold at an auction and p p is the profit made by the business that ran the auction. How many items sold would make this profit a maximum? Solve this by graphing the expression in your graphing utility and finding the maximum using 2nd CALC maximum. To obtain a good window for the curve, set x x [0,200] and y y [0,10000].

OpenStax Algebra and Trigonometry 2e, 2.5 Quadratic Equations, exercise 87

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.