Eight of the Entries Have Been Deleted from the LINGO

question 23

Essay

Eight of the entries have been deleted from the LINGO 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 $$\begin{array} { c c c } \text { VARIABLE } & \text { VALUE } & \text { REDUCED COST } \\\text { X1 } & - & 1.312500 \\\text { X2 } & - & -\\\text { X3 } &27.500000 &- \\\hline\end{array}$$ $$\begin{array} { c c c } ROW& \text { SLACK OR SURPLUS } & \text { DUAL PRICE } \\\hline2)&-&-.125000 \\3)&-&-.781250\end{array}$$ NO.ITERATIONS= 2
RANGES IN WHICH THE BASIS IS UNCHANGED: $$\begin{array}{l}\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { OBJ. COEFFICIENT RANGES }\\\begin{array} { c c c c c } \text { VARIABLE } & \frac { \text { CURRENT } } { \text { COEFFICIENT } } & \frac { \text { ALLOWAB LE } } { \text { INCREASE } } & & \frac { \text { ALLWABLE } } { \text { DECREASE } } \\\text { X1 } & 6.000000 & -&&- \\\text { X2 } & 7.500000 & 1.500000 & & 2.500000 \\\text { X3 } & 10.000000 & 5.000000 && 3.571429\end{array}\end{array}$$ $\begin{array}{cccc}\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\text { RIGHTHAND SIDE RANGES }\\\begin{array}{cccc}&\text { CURRENT } & \text { ALLOWABLE } & \text { ALLOWABLE } \\\hline\mathrm{ROW}& \text { RHS } & \text { INCREASE } & \text { DECREASE } \\2&2400.000000 & 1100.000000 & 900.000000 \\3&400.000000 & 240.000000 & 125.714300\end{array}\end{array}$

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Definitions:

Survivor

A person who has lived through a challenging or life-threatening event.

Rape

A criminal act involving sexual intercourse or any form of sexual penetration carried out against a person without their consent.

Therapeutic Intervention

Actions or treatments undertaken to improve a patient's health or to treat a disorder, ranging from medications to counseling.

Empathetic Communication

The practice of listening and responding to others in a way that builds mutual understanding and trust, emphasizing empathy.