In order to consider changes to the objective function coefficients and the RHS simultaneously, one can apply the $100 \%$ rule - total \% changes must be less than 100 - where negative change is also added without the negative sign.

Question

Quizplus · Accepted Answer

The 100% rule applies to changes in the objective function coefficients or the right-hand side (RHS) values in linear programming, but it does not require that the total percentage changes be less than 100%. Instead, it assesses the allowable increase and decrease for each coefficient separately to maintain the current optimal solution's validity, and the sum of the percentage changes (considering both increases and decreases as positive values) for coefficients that are increasing their values and those that are decreasing should not exceed 100% for the rule to hold.

In Order to Consider Changes to the Objective Function Coefficients 100%100 \%100%

In Order to Consider Changes to the Objective Function Coefficients $100 \%$