Variable Cells Constraints What Is the Allowable Range for the Objective Coefficient for |

question 37

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
$\begin{array}{|r|r|r|r|r|r|r|}\hline \text { Cell } & \text { Name } & \begin{array}{c}\text { Final } \\\text { Value }\end{array} & \begin{array}{c}\text { Shadow } \\\text { Price }\end{array} & \begin{array}{c}\text { Constraint } \\\text { R.H. Side }\end{array} & {\begin{array}{c}\text { Allowable } \\\text { Increase }\end{array}} & \begin{array}{c}\text { Allowable } \\\text { Decrease }\end{array} \\\hline \$ \mathrm{E} \$ 2 & \text { Resource A } & 20 & 7.78 & 20 & 10 & 12.5 \\\hline \$ \mathrm{E} \$ 3 & \text { Resource B } & 30 & 6 & 30 & 50 & 10 \\\hline \$ \mathrm{E} \$ 4 & \text { Resource C } & 18 & \mathrm{0} & 40 & 1 \mathrm{E}+30 & 22\\\hline\end{array}$
What is the allowable range for the objective coefficient for Activity 2?

• A) ?10 ? A2 ? 50
• B) ?44 ? A2 ? 16
• C) ?4 ? A2 ? 56
• D) 30 ? A2 ? 90
• E) 20 ? A2 ? 80

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Definitions:

Alcohol

A chemical compound commonly found in beverages such as beer, wine, and spirits, known for its psychoactive and intoxicating effects.

Cannabis Users

Individuals who consume cannabis, whether for medicinal purposes or recreational use.

Depressive Disorder

A series of mental disorders marked by continuous experiences of melancholy, pessimism, and a disinterest or lack of joy in activities.

Opioids

A class of drugs, derived from the opium poppy, used primarily for pain relief but are known for their high potential for dependence and addiction.