Consider the following LP: Minimize z = 4x, + x2 subject to 3x, + x = 30 4x, + 3x, 2 60 X + 2x2 s 40 X1, X2 2 0 The starting solution consists of artificial x4 and xg for the first and second constraints and slack x, for the third constraint. Using M = 100 for the artificial variables, the optimal tableau is given as

Consider the following LP: Minimize z = 4x, + x2 subject to 3x, + x = 30 4x, + 3x, 2 60 X + 2x2 s 40 X1, X2 2 0 The starting solution consists of artificial x4 and xg for the first and second constraints and slack x, for the third constraint. Using M = 100 for the artificial variables, the optimal tableau is given as

Name: Consider the following LP:Minimize z -4x1 + x2subject to3x1 + x2 = 30
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Description: Consider the following LP:Minimize z -4x1 + x2subject to3x1 + x2 = 304x, + 3x2 2 60X1 + 2x2 = 40X1, X2 2 0The starting solution consists of artificial x4 and xs for the first and second constraintsand slack x, for the third constraint. Using M = 100

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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Question

Consider the following LP:
Minimize z -
4x1 + x2
subject to
3x1 + x2 = 30
4x, + 3x2 2 60
X1 + 2x2 = 40
X1, X2 2 0
The starting solution consists of artificial x4 and xs for the first and second constraints
and slack x, for the third constraint. Using M = 100 for the artificial variables, the
optimal tableau is given as
Basic
X2
X3
X6
Solution
-98.6
-100
-2
34
1
4
-2
4
X2
1
2
.6
18
X3
1
-1
1
10
Write the associated dual problem, and determine its optimal solution in two ways.

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