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Variable Cells Constraints If the Coefficient for Activity 2 in the Objective Function

question 70

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Variable cells
 Cell  Name  Final  Value  Reduced  Cost  Objective  Coefficient  Allowable  Increase  Allowable  Decrease $B$6 Activity 1 04255001E+30425$C$6 Activity 2 27.50.0300500300$D$ Activity 3 02504001E+30250\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 { Coefficient }\end{array} & \begin{array}{c}\text { Allowable } \\\text { Increase }\end{array} & \begin{array}{c}\text { Allowable } \\\text { Decrease }\end{array} \\\hline \$ \mathrm{B} \$ 6 & \text { Activity 1 } & 0 & 425 & 500 & 1 \mathrm{E}+30 & 425 \\\hline \$ \mathrm{C} \$ 6 & \text { Activity 2 } & 27.5 & 0.0 & 300 & 500 & 300 \\\hline \$ \mathrm{D} \$ & \text { Activity 3 } & 0 & 250 & 400 & 1 \mathrm{E}+30 & 250 \\\hline\end{array}
Constraints
 Cell  Name  Final  Value  Shadow  Price  Constraint  R.H. Side  Allowable  Increase  Allowable  Decrease $E$2 Benefit A 110060501E+3C$E$3 Benefit B 110751101E+3046$E$4 Benefit C 137.508057.51E+30\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 { Benefit A } & 110 & 0 & 60 & 50 & 1 \mathrm{E}+3 \mathrm{C} \\\hline \$ \mathrm{E} \$ 3 & \text { Benefit B } & 110 & 75 & 110 & 1 \mathrm{E}+30 & 46 \\\hline \$\mathrm{E} \$ 4 & \text { Benefit C } & 137.5 & 0 & 80 & 57.5 & 1 \mathrm{E}+30 \\\hline\end{array}
If the coefficient for Activity 2 in the objective function changes to $400, then the objective function value:

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Definitions:

Dual Rate System

A method of cost allocation where costs are divided into fixed and variable categories, with each being allocated differently.

Variable Overhead Rate

A measure used to estimate the variable costs that a business incurs during the production of a good or service.

Direct Labor Hours

The amount of time spent by workers directly involved in manufacturing a product.

Direct Materials

Raw materials that can be directly linked to the production of specific goods or services in a manufacturing process.

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