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Define alternate solution 

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An alternate solution in optimization refers to a different feasible solution that yields the same optimal value for the objective function as the primary solution. This often occurs in cases where multiple optimal solutions exist, allowing for flexibility in decision-making without sacrificing optimality.

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In operations research (OR) and optimization, an alternate solution (or alternative solution) refers to a different feasible solution that achieves the same optimal objective value as another solution. In other words, it is a different way of achieving the best possible outcome (the optimal solution) under the given constraints.

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