Variable Cells Constraints If the Right-Hand Side of Resource B Is Increased by |

Multiple Choice

Variable cells
$$\begin{array} { | r | r | r | r | r | r | r | } \hline \text { Cell } & \text { Name } & \begin{array} { c } \text { Final } \\\text { Value }\end{array} & \begin{array} { c } \text { Reduced } \\\text { Cost }\end{array} & \begin{array} { c } \text { Objective } \\\text { Codficient }\end{array} & \begin{array} { c } \text { Allowable } \\\text { Increase }\end{array} & \begin{array} { c } \text { Allowuble } \\\text { Decrease }\end{array} \\\hline \text { \$B\$6 } & \text { Activity 1 } & 3 & 0 & 30 & 23 & 17 \\\hline \text { \$C\$6 } & \text { Activity 2 } & 6 & 0 & 40 & 50 & 10 \\\hline \text { \$D\$6 } & \text { Activity 3 } & 0 & - 7 & 20 & 7 & 1 \mathrm { E } + 30 \\\hline\end{array}$$
Constraints
$\begin{array}{|r|r|r|r|r|r|r|}\hline \text { Cell } & \text { Name } & \begin{array}{c}\text { Final } \\\text { Value }\end{array} & \begin{array}{c}\text { Shadow } \\\text { Price }\end{array} & \begin{array}{c}\text { Constraint } \\\text { R.H. Side }\end{array} & {\begin{array}{c}\text { Allowable } \\\text { Increase }\end{array}} & \begin{array}{c}\text { Allowable } \\\text { Decrease }\end{array} \\\hline \$ \mathrm{E} \$ 2 & \text { Resource A } & 20 & 7.78 & 20 & 10 & 12.5 \\\hline \$ \mathrm{E} \$ 3 & \text { Resource B } & 30 & 6 & 30 & 50 & 10 \\\hline \$ \mathrm{E} \$ 4 & \text { Resource C } & 18 & \mathrm{0} & 40 & 1 \mathrm{E}+30 & 22\\\hline\end{array}$
If the right-hand side of Resource B is increased by 30, and the right-hand side of Resource C is decreased by 10, then:

A) the optimal solution remains the same.
B) the optimal solution will change.
C) the shadow prices are valid.
D) the shadow prices may or may not be valid.
E) None of the choices is correct.