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2. A small business owner creates and sells x bars of handmade soap per month. The monthly profit function is P(x) = -0.5x² + 240x - 75 for 0 < x < 500. l find the number of bars of soap should be made each month to maximize profit. Be sure to consider the type of interval given for the domain (hint: are you finding the absolute extrema on a closed interval or open interval?)

2. A small business owner creates and sells x bars of handmade soap per month. The monthly profit function is P(x) = -0.5x² + 240x - 75 for 0 < x < 500. l find the number of bars of soap should be made each month to maximize profit. Be sure to consider the type of interval given for the domain (hint: are you finding the absolute extrema on a closed interval or open interval?)

College Algebra (MindTap Course List)
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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2. A small business owner creates and sells x bars of handmade soap per month. The monthly profit function is P(x) = -0.5x2 + 240x 75 for 0 < x < 500. find the number of bars of soap should be made each month to maximize profit. Be sure to consider the type of interval given for the domain (hint: are you finding the absolute extrema on a closed interval or open interval?)
Transcribed Image Text:2. A small business owner creates and sells x bars of handmade soap per month. The monthly profit function is P(x) = -0.5x2 + 240x 75 for 0 < x < 500. find the number of bars of soap should be made each month to maximize profit. Be sure to consider the type of interval given for the domain (hint: are you finding the absolute extrema on a closed interval or open interval?)
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