What causes an unbounded solution in linear programming?
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An unbounded solution in linear programming occurs when the feasible region extends infinitely in the direction of the objective function’s optimization. This typically happens when there are no constraints limiting the growth of the objective function, allowing it to increase indefinitely. In such cases, the model lacks sufficient boundaries to determine a maximum or minimum value, leading to an unbounded outcome.
An unbounded solution in linear programming occurs when the feasible region allows the objective function to increase or decrease indefinitely due to insufficient constraints. This can result from a lack of limits on decision variables or a linear objective function parallel to a binding constraint. Recognizing unboundedness is important as it signals the absence of a finite optimal solution.
An unbounded solution in linear programming occurs when the objective function can increase indefinitely without reaching a maximum, typically due to Lack of constraints that the feasible region allows for infinite growth in the direction of the objective, Direction of optimization that the objective function is aligned with an edge of the feasible region, leading to no upper limit
An unbounded solution in linear programming occurs when the objective function can increase indefinitely without constraints.