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 ) .

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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