A section of output from The Management Scientist is shown here. $$\begin{array} { c c c c }
\text { Constraint } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \
\hline 2 & 240 & 300 & 420
\end{array}$$ What will happen if the right-hand-side for constraint 2 increases by 200?
A)Nothing. The values of the decision variables, the dual prices, and the objective function will all remain the same.
B)The value of the objective function will change, but the values of the decision variables and the dual prices will remain the same.
C)The same decision variables will be positive, but their values, the objective function value, and the dual prices will change.
D)The problem will need to be resolved to find the new optimal solution and dual price.

Question

A section of output from The Management Scientist is shown here. $$\begin{array} { c c c c } 
\text { Constraint } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \
\hline 2 & 240 & 300 & 420
\end{array}$$ What will happen if the right-hand-side for constraint 2 increases by 200?
A)Nothing. The values of the decision variables, the dual prices, and the objective function will all remain the same.
B)The value of the objective function will change, but the values of the decision variables and the dual prices will remain the same.
C)The same decision variables will be positive, but their values, the objective function value, and the dual prices will change.
D)The problem will need to be resolved to find the new optimal solution and dual price.

Quizplus · Accepted Answer

The right-hand-side increase of 200 will exceed the upper limit of 420, requiring the problem to be resolved to find a new optimal solution and dual price.

A Section of Output from the Management Scientist Is Shown