If a problem has a $\leq$ constraint with a positive RHS, then increasing the RHS would leave the optimal solution's objective function value the same or improve it (i.e. increase the objective function value corresponding to the optimal solution if it is a "maximize" objective function and decrease it if it is a "minimize" objective function).

Question

Quizplus · Accepted Answer

Increasing the RHS of a $\leq$ constraint generally relaxes the constraint, allowing for more feasible solutions. In a maximization problem, this can lead to a higher objective function value, as there is more "space" to find a better solution. In a minimization problem, it could potentially lead to a lower objective function value, as the solution space is expanded, possibly uncovering more efficient solutions.

If a Problem Has A ≤\leq≤ Constraint with a Positive RHS, Then Increasing the RHS Would

If a Problem Has A $\leq$ Constraint with a Positive RHS, Then Increasing the RHS Would