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Despite of the fact that the variables Xij of the Assignment Problem are binary (not continuous but integer, assuming only the value of 0 or

Despite of the fact that the variables Xij of the Assignment Problem are binary (not continuous but integer, assuming only the value of 0 or 1), the assignment problem does not need to be solved by integer programming algorithms. Linear programming can solve the assignment problem by providing binary values to the variables at the optimal solution. Why?

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