As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 32 hours,devote at most 3 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour by bicycling,jogging, and swimming are 200, 582, and 288, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? What is themaximum number of calories he will burn? (Hint: Write the constraint involving jogging in the form s0.)Let x1 be the number of hours spent bicycling, let x2 be the number of hours spent jogging, and let x3 be the number of hours spent swimming. What is the objectivefunction?

x1 = Number of cycling hours x2 = Number of jogging hours x3 = Number of swimming hours As jogging…

Answered: X3 X1+x2+

Business

Operations Management

X3 X1+x2+

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Concept explainers

Forecasting in Business

Forecasting is the process of predicting the future based on the past and the present data and circumstances. In other words, forecasting is the act of making a detailed analysis of future events based on the decisions made in the past as well as the present. Forecasting plays a very important role in operational management as it helps in planning and decision-making. It is not only important for the success of a business but also contributes to individual growth and success. Many business organizations or companies have failed due to the shortcomings of their forecasting.

Question

As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 32 hours,
devote at most 3 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour by bicycling,
jogging, and swimming are 200, 582, and 288, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? What is the
maximum number of calories he will burn? (Hint: Write the constraint involving jogging in the form s0.)
Let x1 be the number of hours spent bicycling, let x2 be the number of hours spent jogging, and let x3 be the number of hours spent swimming. What is the objective
function?

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