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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,