A section of output from The Management Scientist is shown here. What will happen if the right-hand-side for constraint 2 increases by 200?
$$\begin{array} { l l l l }
\text { Constraint } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \
\hline 2 & 240 & 300 & 420
\end{array}$$
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. What will happen if the right-hand-side for constraint 2 increases by 200?
$$\begin{array} { l l l l } 
\text { Constraint } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \
\hline 2 & 240 & 300 & 420
\end{array}$$
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

Given the current value of constraint 2 is 300 and the upper limit is 420, increasing the right-hand-side of constraint 2 by 200 would exceed its upper limit. This means the current solution is no longer valid, and the problem must be resolved to find the new optimal solution and dual price.

A Section of Output from the Management Scientist Is Shown