Eight of the Entries Have Been Deleted from the LINDO

question 26

Essay

Eight of the entries have been deleted from the LINDO output that follows. Use what you know about linear programming to find values for the blanks.
MIN
6 X1 + 7.5 X2 + 10 X3
SUBJECT TO
2) 25 X1 + 35 X2 + 30 X3 >= 2400
3) 2 X1 + 4 X2 + 8 X3 >= 400
END
LP OPTIMUM FOUND AT STEP 2
OBJECTIVE FUNCTION VALUE
1) 612.50000 $\begin{array}{ccc}\text { VARIABLE } & \text { VALUE } & \text { REDUCED COST } \\\mathrm{X} 1 &-&1.312500\\\mathrm{X}_{2} &-&-\\\mathrm{X} 3 &27.500000&-\end{array}$

$\begin{array}{ccc}\text { ROW }& \text { SLACK OR SURPLUS } & \text { DUAL PRICE } \\\hline2)&-&-.125000\\3)&-&-781250\end{array}$ NO. ITERATIONS= 2
RANGES IN WHICH THE BASIS IS UNCHANGED: $\begin{array}{lrrr}&&&\text { OBJ. COEFFICIENT RANGES }\\& \text { CURRENT}& \text {ALLOWABLE }& \text {ALLOWABLE }\\\text { VARIABLE }&\text { COEFFICIENT } & \text { INCREASE } & \text { DECREASE }\\\hline\mathrm{X} 1 &6.000000&-&-\\\mathrm{X} 2 & 7.500000 & 1.500000 & 2.500000 \\\mathrm{X} 3 & 10.000000 & 5.000000 & 3.571429\end{array}$ $\begin{array}{cccc}&&&\text { RIGHT HAND SIDE RANGES }\\&\text { CURRENT } & \text { ALLOWABLE }& \text { ALLOWABLE }\\\text { ROW } & \text { RHS } & \text { INCREASE } & \text { DECREASE } \\\hline2 & 2400.000000 & 1100.000000 & 900.000000 \\3 & 400.000000 & 240.000000 & 125.714300\end{array}$

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Definitions:

Tort Of Nuisance

A legal claim arising from an act that unlawfully interferes with the use and enjoyment of one's property.

Tort Of Battery

A legal term for the intentional and unlawful physical contact or harm to another person without their consent.

Civil Action

A legal proceeding in which one private party sues another for personal harm or damage, in contrast to a criminal prosecution.

Duty Of Care

The legal obligation to avoid acts or omissions that could foreseeably cause harm to others.