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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Definitions:

Carbon Dioxide

A colorless, odorless gas produced by burning carbon and organic compounds and by respiration, absorbed by plants in photosynthesis.

Tympanically

Pertaining to the tympanum or eardrum, often in reference to methods of measuring temperature or detecting medical conditions using the ear.

Axillary Method

A technique for measuring temperature by placing a thermometer in the armpit area, commonly used for its non-invasiveness and safety.

Easily Agitated

A state or condition in which a person becomes quickly frustrated or upset, often with little provocation.