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", and "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: Arm Leg Core 130 moves 160 moves 120 moves 4 3 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 20 16 15 Arm moves/min 2 3 Leg moves/min 5 2 Core moves/min 2 5 2 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