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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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Problem 2 You have decided to create a new 60-minute dance exercise routine. To keep
the dance simple, you will use a combination of three actions: "Step Touch", "Heel Back",
"Mambo." Each action has a different rate of burning calories, and requires a different number of
arm, leg, and core moves per minute. To ensure a properly balanced exercise routine, you have
determined the minimum number of arm, leg, and core moves for the entire 60-min routine
as follows:
and
Arm
130 moves
Leg
160 moves
Core
120 moves
The calories burned per minute, and the number of arm, leg, and core moves per minute of each
of the three dance actions are as follows:
Step Touch Heel Back
Mambo
Calories/min
Arm moves/min
Leg moves/min
Core moves/min
20
16
15
2
3
4
3
2
2
5
Additionally, to keep the workout interesting, you have also decided that no individual action
should take up more than 30 minutes of the total 60-minute workout.
Formulate a linear programming model to determine how many minutes of each dance action
should be included to maximize the total amount of calories burned. If you choose to do it in Excel,
please upload the Excel file on Canvas as part of the submission. If you choose to do it in Python,
please upload the Jupyter Notebook file (.ipynb file) on Canvas.
Transcribed Image Text:Problem 2 You have decided to create a new 60-minute dance exercise routine. To keep the dance simple, you will use a combination of three actions: "Step Touch", "Heel Back", "Mambo." Each action has a different rate of burning calories, and requires a different number of arm, leg, and core moves per minute. To ensure a properly balanced exercise routine, you have determined the minimum number of arm, leg, and core moves for the entire 60-min routine as follows: and Arm 130 moves Leg 160 moves Core 120 moves The calories burned per minute, and the number of arm, leg, and core moves per minute of each of the three dance actions are as follows: Step Touch Heel Back Mambo Calories/min Arm moves/min Leg moves/min Core moves/min 20 16 15 2 3 4 3 2 2 5 Additionally, to keep the workout interesting, you have also decided that no individual action should take up more than 30 minutes of the total 60-minute workout. Formulate a linear programming model to determine how many minutes of each dance action should be included to maximize the total amount of calories burned. If you choose to do it in Excel, please upload the Excel file on Canvas as part of the submission. If you choose to do it in Python, please upload the Jupyter Notebook file (.ipynb file) on Canvas.
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