Assuming that p denotes the unit price (in dollars) of some product, p = -4x + 1600, where denotes the demand for the product, and cost function C(x) = 40x + 3000, determine: a) The demand level, x, for which the profit is maximized; b) The unit price, p, for which the profit is maximized;

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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Assuming that p denotes the unit price (in dollars) of some product, p = -4x + 1600, where x
denotes the demand for the product, and cost function C(x) = 40x + 3000, determine:
a) The demand level, x, for which the profit is maximized;
b) The unit price, p, for which the profit is maximized;
c) The maximum profit.
Transcribed Image Text:Assuming that p denotes the unit price (in dollars) of some product, p = -4x + 1600, where x denotes the demand for the product, and cost function C(x) = 40x + 3000, determine: a) The demand level, x, for which the profit is maximized; b) The unit price, p, for which the profit is maximized; c) The maximum profit.
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