Variable Cells Constraints If the Right-Hand Side of Resource B Changes to 10

question 24

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 changes to 10, then:

• A) the original solution remains optimal.
• B) the problem must be resolved to find the optimal solution.
• C) the shadow price is valid.
• D) the shadow price is not valid.
• E) None of the choices is correct.

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Definitions:

Species

Group of similarly constructed organisms capable of interbreeding and producing fertile offspring; organisms that share a common gene pool; the taxon at the lowest level of classification.

Individuals

Refers to distinct beings, often used in the context of discussing singular human beings.

Arachnid

Group of arthropods that includes spiders and scorpions.

Cephalothorax

A body region found in arachnids and some crustaceans, where the head and thorax are fused into one unit.