Define unboundedness
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Unboundedness in optimization refers to a situation where the objective function can increase or decrease indefinitely without reaching a finite optimal solution. This typically occurs when the feasible region extends infinitely in the direction of the objective function, making it impossible to identify a maximum or minimum value.
Unboundedness in linear programming occurs when the objective function can increase indefinitely due to a lack of constraints limiting the feasible region. This situation arises when there are not enough constraints to restrict the decision variables, indicating that the model may need reevaluation to ensure a realistic solution.