#9 – An ice cream company varies the prices of its pint containers to maximize profit. The function P(x) = -80x2 + 480x – 570 models the company's profits in thousands of dollars, where x is the price of a pint of ice cream in dollars. At what price will the company receive maximum profits? How much profit will the company earn?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...
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#9 – An ice cream company varies the prices of its pint containers to maximize profit. The function
P(x) = -80x2 + 480x – 570 models the company's profits in thousands of dollars, where x is the price of a
pint of ice cream in dollars. At what price will the company receive maximum profits? How much profit will the
company earn?
Transcribed Image Text:#9 – An ice cream company varies the prices of its pint containers to maximize profit. The function P(x) = -80x2 + 480x – 570 models the company's profits in thousands of dollars, where x is the price of a pint of ice cream in dollars. At what price will the company receive maximum profits? How much profit will the company earn?
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