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Suppose you have 7 full wine bottles, 7 half-full, and 7 empty. You would like to...

Suppose you have 7 full wine bottles, 7 half-full, and 7 empty. You would like to divide the 21 bottles among the three individuals so that each will receive exactly 7. Additionally, each individual must receive the same quantity of wine. Express the problem as an integer program and find a solution (Hint: Use a dummy objective function in which all the objective coefficients are zeros.)

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