Suppose you use Solver to find the optimal solution to a max

Suppose you use Solver to find the optimal solution to a maximization model. Then you remember that you omitted an important constraint. After adding the constraint and running Solver again, is the optimal value of the objective guaranteed to decrease? Why or why not?

Solution

In case of maximization model all constraints are taken as less than type equation so adding another constraint to the model may result in decrease of optimal solution but that can only be assured with kind of constraint used.