Solved

Portions of a Management Scientist Output Are Shown Below

Question 64

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  Variable  Value  Reduced Cost  X1 0.000 X2 24.000 X3 3.500\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}  Constraint  Slack/Surplus  Dual Price 10.00015.00020.00030.00040.000\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  Variable  Lower Limit  Current Value  Upper Limit  X1 5.40012.000 No Upper Limit  X2 2.0009.00020.000 X3  No Lower Limit 7.00010.500\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  Constraint  Lower Limit  Current Value  Upper Limit 1145.000150.000156.667264.000380.0004110.286116.000120.000\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}

Correct Answer:

verifed

Verified

x3 = 0 because the reduced cost is positi...

View Answer

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents