Can a problem be both infeasible and unbounded?
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No, a problem cannot be both infeasible and unbounded. An infeasible problem has no solution, while an unbounded problem has solutions that are not finite.
A linear programming problem cannot be both infeasible and unbounded simultaneously, as infeasibility means no solutions satisfy the constraints, while unboundedness implies a feasible region allowing infinite objective function values. Thus, these concepts are mutually exclusive.
No, a problem cannot be both infeasible and unbounded. Infeasibility means no feasible solutions exist, while unboundedness indicates that feasible solutions allow the objective function to increase or decrease indefinitely. These conditions are mutually exclusive.
No, a problem cannot be both infeasible and unbounded. Infeasibility means there are no solutions that satisfy all constraints, while unboundedness implies that the feasible region exists but allows the objective function to extend infinitely
No, a problem cannot be both infeasible and unbounded. If a problem is infeasible, it has no solution that satisfies all constraints, while an unbounded problem has solutions that extend infinitely in a certain direction. These are mutually exclusive situations: either the constraints cannot be satisfied (infeasible), or the solution space is infinite (unbounded), but not both at the same time.