Removing a redundant constraint does not change the feasible region because it does not restrict any additional solutions. Therefore, the optimal solution and optimal objective value remain unchanged.

Removing a redundant constraint does not change the feasible region or the optimal solution because that constraint was not restricting the feasible solutions.

Removing a redundant constraint has absolutely no effect on either the feasible region or the optimal solution. Because a redundant constraint is already completely implied by the remaining constraints, it imposes no additional restrictions on the system. Eliminating it leaves the geometric shape of the feasible region entirely intact, meaning all feasible points, vertices, and the final optimal solution remain exactly the same.

Removing a redundant constraint does not change the feasible region because that constraint was already implied by the other constraints. Therefore, the optimal solution and optimal objective value remain unchanged, assuming the original problem has an optimum. In simple terms, removing a redundant constraint has no effect on the solution because it was not restricting the feasible region in the first place.