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

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.81TI: The weekly news magazine has a big story naming the Person of the Year and the editor wants the...
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.
Similar questions
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University