a. Consider the following constraints: + 2x₂ ≤ 4 X1 -X₁ + X2 ≤ 1 X1, X2 ≥ 0. After adding the slack variables x3 and x4, we get x₁ + 2x₂ + x3 4 -X1 + = 1 X1, ≥ 0. XB x3, An obvious starting basic feasible solution is given by and X1 -8 = x3 X4 x2 X2, = + X4 X4 XN =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a.
Consider the following constraints:
+ 2x₂ ≤ 4
+
X2 ≤ 1
X2 ≥ 0.
X1
-X1
After adding the slack variables x3
XB
X1,
=
+ 2x₂ + x3
X1
-X1 + x2
X1,
x2,
and
X4, we get
4
= 1
≥ 0.
+ X4
X4
x3,
An obvious starting basic feasible solution is given by
--B-0
and
X4
XN
=
=
1-8
=
X1
x2
Transcribed Image Text:a. Consider the following constraints: + 2x₂ ≤ 4 + X2 ≤ 1 X2 ≥ 0. X1 -X1 After adding the slack variables x3 XB X1, = + 2x₂ + x3 X1 -X1 + x2 X1, x2, and X4, we get 4 = 1 ≥ 0. + X4 X4 x3, An obvious starting basic feasible solution is given by --B-0 and X4 XN = = 1-8 = X1 x2
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