Consider the following LPP Q2. Minimize X1 + x2 - 4x3 + 0x4 + 0x; + 0x. = 9 = 2 +x6 = 4 x1 2 0,x2 2 0, x3 2 0, x4 2 0, x; 2 0, and x, 20 x1 + x2 + 2x3 +x4 X1 + x2 - X3 -x1 + x2 + X3 Subject to + x5 Consider a Basic Feasible solution with xB with x3, X4, and x5 as basis variables. Work out the next step - Whether it is optimal? If not, which non-basic variable will enter the basis, and then the new BFS.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following LPP
Q2.
Minimize
X1 + x2 - 4x3 + 0x4 + 0x5 + 0x6
= 9
= 2
+x6 = 4
x1 2 0,x2 2 0, x3 2 0, x4 2 0, x; 2 0, and x, 20
Subject to
X1 + x2 + 2x3 +x4
X1 + x2 - X3
-x1 + x2 + X3
+ x5
Consider a Bas
Work out the next step - Whether it is optimal? If not, which non-basic variable will enter the
basis, and then the new BFS.
Feasible solution with xB with x3,X4, and x5 as basis variables.
Transcribed Image Text:Consider the following LPP Q2. Minimize X1 + x2 - 4x3 + 0x4 + 0x5 + 0x6 = 9 = 2 +x6 = 4 x1 2 0,x2 2 0, x3 2 0, x4 2 0, x; 2 0, and x, 20 Subject to X1 + x2 + 2x3 +x4 X1 + x2 - X3 -x1 + x2 + X3 + x5 Consider a Bas Work out the next step - Whether it is optimal? If not, which non-basic variable will enter the basis, and then the new BFS. Feasible solution with xB with x3,X4, and x5 as basis variables.
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