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Let y1 be the number of minutes per week spent​ walking, y2 be the number of minutes per week spent​ cycling, and y3 be the number of minutes per week spent swimming. What is the objective function that must be​ minimized? w=________ y1+_______y2+_________y3

Let y1 be the number of minutes per week spent​ walking, y2 be the number of minutes per week spent​ cycling, and y3 be the number of minutes per week spent swimming. What is the objective function that must be​ minimized? w=________ y1+_______y2+_________y3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let y1 be the number of minutes per week spent​ walking, y2

be the number of minutes per week spent​ cycling, and y3

be the number of minutes per week spent swimming. What is the objective function that must be​ minimized?

w=________ y1+_______y2+_________y3

Francesca wants to start exercising to burn at least 1400 extra calories per week, but she does not have much spare time for exercise. According to a website, she can burn an average of 3.5 calories per minute walking, 4 calories per minute cycling, and 8 calories per minute swimming. She would like her total time walking and cycling to be at least 3 times as long as she spends swimming. She would also like to walk at least 20 minutes per week. How much time should she spend on each activity not only to meet her goals but also to minimize her total exercise time per week? What is her minimum exercise time per week? Let y, be the number of minutes per week spent walking, y2 be the number of minutes per week spent cycling, and y3 be the number of minutes per week spent swimming. What is the objective function that must be minimized? w=y1 +Dy2 +Dy3
Transcribed Image Text:Francesca wants to start exercising to burn at least 1400 extra calories per week, but she does not have much spare time for exercise. According to a website, she can burn an average of 3.5 calories per minute walking, 4 calories per minute cycling, and 8 calories per minute swimming. She would like her total time walking and cycling to be at least 3 times as long as she spends swimming. She would also like to walk at least 20 minutes per week. How much time should she spend on each activity not only to meet her goals but also to minimize her total exercise time per week? What is her minimum exercise time per week? Let y, be the number of minutes per week spent walking, y2 be the number of minutes per week spent cycling, and y3 be the number of minutes per week spent swimming. What is the objective function that must be minimized? w=y1 +Dy2 +Dy3
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