What is an unbounded solution in linear programming?
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An unbounded solution in linear programming occurs when the feasible region allows the objective function to increase (or decrease) indefinitely without reaching a maximum (or minimum) value. This typically happens when there are no constraints that limit the values of the decision variables in the direction of optimization, resulting in a situation where the optimal solution cannot be determined because it can continue to grow infinitely.
An unbounded solution in linear programming occurs when the objective function can increase or decrease indefinitely without reaching a maximum or minimum value. This situation arises when the feasible region extends infinitely in the direction of optimization, often due to insufficient constraints to limit the decision variables. In such cases, the model may need to be reevaluated to ensure a realistic solution.