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.
Infeasibility in optimization refers to a situation where no solution exists that satisfies all given constraints of a problem. This means the constraints are contradictory or too restrictive, preventing any feasible solution from being found within the defined parameters.
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.