Portions of a Management Scientist Output Are Shown Below

question 42

Essay

Portions of a Management Scientist output are shown below. Use what you know about the solution of linear programs to fill in the ten blanks.
LINEAR PROGRAMMING PROBLEM
MAX
12X1+9X2+7X3
S.T.
1) 3X1+5X2+4X3<150
2) 2X1+1X2+1X3<64
3) 1X1+2X2+1X3<80
4) 2X1+4X2+3X3>116
OPTIMAL SOLUTION
Objective Function Value = 336.000 $$\begin{array} { c c c } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { X1 } &- & 0.000 \\\text { X2 } &24.000&- \\\text { X3 } &- &3.500 \\\hline\end{array}$$ $$\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Price } \\\hline 1 & 0.000 & 15.000 \\2 & --& 0.000 \\3 & --& 0.000 \\4 & 0.000 &-- \\\hline\end{array}$$ $\text { OBJECTIVE COEFFICIENT RANGES }$
$\begin{array}{cccc}\text { Variable } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit }\\\hline\mathrm{X} 1 & 5.400 & 12.000 & \text { No Upper Limit } \\\mathrm{X} 2 & 2.000 & 9.000 & 20.000 \\\mathrm{X} 3 & \text { No Lower Limit } & 7.000 & 10.500\end{array}$
$\text { RIGHT HAND SIDE RANGES }$
$\begin{array}{lllr}\text { Constraint } & \text { Lower Limit }& \text { Current Value } & \text { Upper Limit }\\\hline1 & 145.000 & 150.000 & 156.667 \\2 &- &- & 64.000 \\3 & -&-& 80.000 \\4 &110.286 &116.000& 120.000\end{array}$

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