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Eight of the Entries Have Been Deleted from the LINGO

Question 56

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  VARIABLE  VALUE  REDUCED COST  X1 1.312500 X2  X3 27.500000\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} ROW SLACK OR SURPLUS  DUAL PRICE 2).1250003).781250\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:  OBJ. COEFFICIENT RANGES  VARIABLE  CURRENT  COEFFICIENT  ALLOWAB LE  INCREASE  ALLWABLE  DECREASE  X1 6.000000 X2 7.5000001.5000002.500000 X3 10.0000005.0000003.571429\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}  RIGHTHAND SIDE RANGES  CURRENT  ALLOWABLE  ALLOWABLE ROW RHS  INCREASE  DECREASE 22400.0000001100.000000900.0000003400.000000240.000000125.714300\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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