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A person wants to design a weekly exercise program with the following three sports: CrossFit, cycling, and swimming. The person would like to invest

 


A person wants to design a weekly exercise program with the following three sports: CrossFit, cycling, and swimming. The person would like to invest at least as much time cycling as doing CrossFit and swimming combined. In addition, the person wants to include at least two hours of swimming because it is their preferred exercise. An average hour of Crossfit burns about 600 calories. Cycling and swimming burn 300 each per hour. The goal is to burn at least 3000 calories per week through exercise. Your task is to build an optimization model to inform this person how many hours per week to devote to each sport while minimizing the total number of hours invested per week.

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