Each week, you have a total of 80 hours to split between x hours of work and y hours of leisure. The value to you of x hours of work is given by the function240 x -x 2 . The value to you of y hours of leisure is 220 y-y 2 . You want to arrange your work and leisure times to yield the maximize the total value to you. What values of x and y maximize the value to you? (Give your answer as an ordered pair ( x , y ) .

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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Each week, you have a total of 80 hours to split between x hours of work and y hours of leisure. The value to you of x hours of work is given by the function240 x -x 2 . The value to you of y hours of leisure is 220 y-y 2 . You want to arrange your work and leisure times to yield the maximize the total value to you. What values of x and y maximize the value to you? (Give your answer as an ordered pair ( x , y ) .

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