Convert the following general linear programming problem into standard form: - 2x1 + 3x3 max s.t. 2x1 -X1 - X1 X1 20 + x2 + X2 2x2 2x2 X2 ≤ 0 x 3 3x3 X3 X3 ≤0 Remark It is irrelevant whether the problem is actually feasible or not. 2 2x4 X4 1 + X4 < 2 + 2x4 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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3 Polyhedra in Standard Form
(3.1) Convert the following general linear programming problem into standard form:
- 2x1
+ 3x3
max
s.t.
2x1
-X1
x2
2x2
2x2
X2 ≤ 0
9
Remark It is irrelevant whether the problem is actually feasible or not.
X1
X1 ≥ 0
-
x2
+
+
+
2
X3
3x3
T
X3
X3 ≤0
2x4
X4
+ X4
+ 2x4
IV IA II
=
124
< 2
Transcribed Image Text:3 Polyhedra in Standard Form (3.1) Convert the following general linear programming problem into standard form: - 2x1 + 3x3 max s.t. 2x1 -X1 x2 2x2 2x2 X2 ≤ 0 9 Remark It is irrelevant whether the problem is actually feasible or not. X1 X1 ≥ 0 - x2 + + + 2 X3 3x3 T X3 X3 ≤0 2x4 X4 + X4 + 2x4 IV IA II = 124 < 2
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