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

question 68

Short Answer

How much must the objective function coefficient of the variable X₂ increase before any X₂s are produced based on the following sensitivity report?
$\text { Changing Cells }$
$\begin{array}{llrr}&&\text { Final}& \text {Reduced }\\\text { Cell } & \text { Name } & \text { Value } & \text { Gradient } \\\hline \$ B \$ 4 & \text { Number to make: } \mathrm{X}_{1} & 9.428 & 0 \\\$ \mathrm{C} \$ 4 & \text { Number to make: } \mathrm{X}_{2} & 0 & -1.96\end{array}$

$\text { Constraints }$
$\begin{array}{llrr}&&\text { Final }&\text { Lagrange}\\\text { Cell } & \text { Name } & \text { Value } & \text { Multiplier } \\\hline \$ \mathrm{D} \$ 8 & \text { Used } & 42 & 0 \\\$ \mathrm{D} \$ 9 & \text { Used } & 132 & 0.214 \\\$ \mathrm{D} \$ 10 & \text { Used } & 24 & 1.214\end{array}$

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