How Much Must the Objective Function Coefficient of the Variable $\text { Changing Cells }$

question 55

Multiple Choice

How much must the objective function coefficient of the variable Pumpkin change before any Pumpkins are produced based on the following sensitivity report? $\text { Changing Cells }$
$\begin{array}{llrr}&&\text { Final}& \text { Reduced }\\ \text { Cell } & \text { Name } & \text { Value } & \text { Gradient } \\\hline \$ \mathrm{~B} \$ 4 & \text { Corn } & 9.52 & 0 \\\$ \mathrm{C} \$ 4 & \text { Pumplsin } & 0 & -499.99 \\\$ \mathrm{D} \$ 4 & \text { Beans } & 10.79 & 0\end{array}$


$\text { Constraints }$
$\begin{array}{llrr}&&\text { Final}& \text { Reduced }\\ \text { Cell } & \text { Name } & \text { Value } & \text { Multiplier } \\\hline \$ E \$ 8 & \text { Corn } & 200000 & 0.016 \\\$ E \$ 9 & \text { Pumplkin } & 99 & 12 \\\$ E \$ 10 & \text { Beans } & 37777.78 & 0 \\\$ E \$ 11 & \text { Water } & 29.84 & 0 \\\$ E \$ 12 & \text { Fertilizer } & 8000 & 3.49\end{array}$

• A) increase by 12
• B) decrease by 12
• C) increase by 499.99
• D) decrease by 499.99

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