Calorie Expenditure Joe Vetere’s exercise regimen includes light calisthenics, swimming, and playing the drums. He has at most 10 hours per week to devote to these activities. He wants the total time he does calisthenics and plays the drums to be at least twice as long as he swims. His neighbors, however, will tolerate no more than 4 hours per week on the drums. According to a website, a 190-pound person like Joe will bum an average of 388 calories per hour doing calisthenics, 518 calories per hour swimming, and 345 calories per hour playing the drums. In Section 4,2, Exercise 36, Joe found that he could maximize calories burned in an exercise routine that did not include playing the drums as part of his exercise plan. Source: NutriStra tegv.com.
(a) Joe really likes to play the drums and insists that his exercise plan include at least 1 hour of playing the drums per week. With this added constraint, now how many hours per week should Joe spend on each exercise to maximize the number of calories he burns? What is the maximum number of calories he will burn?
(b) Without the added constraint from part (a), Joe’s maximum calorie expenditure was calories. Compare this number with the new optimal solution. What conclusions can you draw when additional constraints are placed on a problem?
(c) Show how the solution from part (a) can be found without using the simplex method by considering the constraints and the number of calories for each activity.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Finite Mathematics (11th Edition)
Additional Math Textbook Solutions
Mathematical Ideas (13th Edition) - Standalone book
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Algebra and Trigonometry: Graphs and Models (6th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
- Pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child’s weight. How many milliliters of acetaminophen will the doctor prescribe for Emilia, who weighs 60 pounds?arrow_forwardFor every 1 kilogram (kg) of a child’s weight pediatricians prescribe 15 milligrams (mg) of a fever reducer. If Isabella weighs 12 kg, how many milligrams of the fever reducer will the pediatrician prescribe?arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt