Question

Which of the following statements about what-if analysis is TRUE?

1) Changes to constraint right-hand side values will never lead to changes in decision variable values
2) Changes in an objective function coefficient will never lead to changes in decision variable values
3) Changes to constraint right-hand side values will always lead to changes in decision variable values
4) None of the answer choices is correct

Answer 1

Statement 3) "Changes to constraint right-hand side values will always lead to changes in decision variable values" is TRUE.

Step-by-step explanation:

Out of the given statements, statement (3), "Changes to constraint right-hand side values will always lead to changes in decision variable values" is TRUE. What-if analysis is a technique used in decision-making to evaluate the impact of changing variables on the outcome.

In linear programming, changes to the constraint right-hand side values will always affect the feasible region and can lead to changes in the optimal solution, i.e., the decision variable values. For example, consider a linear programming problem that involves maximizing profit subject to certain constraints. If the constraint right-hand side values are changed, it may affect the available resources or limitations, which can lead to changes in the optimal allocation of resources and ultimately affect the decision variable values.