Jill Sharp, a fitness trainer, has an exercise regimen that includes running, swimming, and walking. She has nomore than 12 hours per week to devote to exercise, including at most 4 hours running. She wants to walk atleast three times as many hours as she swims. Jill will burn on average 528 calories per hour running, 492calories per hour swimming, and 348 calories per hour walking. How many hours per week should Jill spendon each exercise to maximize the number of calories she burns? What is the maximum number of calories shewill burn? (Hint: Write the constraint involving walking and swimming in theform ? 0.)3

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 5P
icon
Related questions
Topic Video
Question

Jill Sharp, a fitness trainer, has an exercise regimen that includes running, swimming, and walking. She has no
more than 12 hours per week to devote to exercise, including at most 4 hours running. She wants to walk at
least three times as many hours as she swims. Jill will burn on average 528 calories per hour running, 492
calories per hour swimming, and 348 calories per hour walking. How many hours per week should Jill spend
on each exercise to maximize the number of calories she burns? What is the maximum number of calories she
will burn? (Hint: Write the constraint involving walking and swimming in the
form ? 0.)
3

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

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
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning