Question: For each formulation problem, please define your decision variables clearly. You need to submit your code for solutions. A college intramural four-man basketball team is

For each formulation problem, please define your decision variables clearly. You need to submit your code for solutions.

A college intramural four-man basketball team is trying to choose its starting line-up from a six- man roster so as to maximize average height. The roster follows: Player Numb |Height Positio EK Dave 10 Center John O Center Mark 6 Forwar Rich 6 Forwar Ken aVIA 4 Guard Jim L Guard * In inches over 5' 6". The starting line-up must satisfy the following constraints: a) At least one guard must start. b) Either John or Ken must be held in reserve. C No more than one center can start. d) If John or Rich starts, then Jim cannot start. Formulate this problem as an integer program and solve it via any software

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