Portions of a Management Scientist Output Are Shown Below

question 16

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 $$\begin{array} { c c c } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { X1 } &-& 0.000 \\\text { X2 } & 24.000& -\\\text { X3 } & -& 3.500 \\\end{array}$$ $$\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Price } \\1 & 0.000 & 15.000 \\2 & -& 0.000 \\3 & -& 0.000 \\4 & 0.000 & -\\\end{array}$$ OBJECTIVE COEFFICIENT RANGES $$\begin{array} { c c c c } \text { Variable } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \\\text { X1 } & 5.400 & 12.000 & \text { No Upper Limit } \\\text { X2 } & 2.000 & 9.000 & 20.000 \\\text { X3 } & \text { No Lower Limit } & 7.000 & 10.500\end{array}$$ RIGHT HAND SIDE RANGES $$\begin{array} { c c c r } \text { Constraint } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \\1 & 145.000 & 150.000 & 156.667 \\2 & -& -& 64.000 \\3 & -& - & 80.000 \\4 & 110.286& 116.000 & 120.000\end{array}$$

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