A set of mathematical relationships that must be met when optimization is performed. If the final value is positive then the corresponding reduced cost must be 0. The objective coefficient ranges aid in analyzing variation in the profit contributions. As long as the profit contributions vary within the calculated ranges we will produce according to the final values. Cell is the cell that is constrained.
Final value is value of the constrained cell.
The shadow price states what will happen to the objective value found in the optimal solution if there is a one unit change in the RHS value. Shadow prices can be negative or positive. Every constraint has a shadow price. If the limits are violated, then the shadow price cannot be used to determine the full impact of a proposed change. It is the difference between the available amount and the amount used.