Maximize : 3x1 + x2 - X3 s.t. 2x1 + x2 + x3 < 8 4x, +x2 - x3 S 10 X1, X2, X: X2 X3 S2 rhs 1/2 2 1 1 1/2 9. 1 3 -1 1 -1 - 2 1/2 1 Find the dual of this LP. (b) (c) value=10) for which the current basis remains optimal. If b;= 12, what is the new optimal solution? Find the optimal solution of the variables of the dual in part (a). Find the range of values of b2 (right hand side of the 2nd constraint, current
Maximize : 3x1 + x2 - X3 s.t. 2x1 + x2 + x3 < 8 4x, +x2 - x3 S 10 X1, X2, X: X2 X3 S2 rhs 1/2 2 1 1 1/2 9. 1 3 -1 1 -1 - 2 1/2 1 Find the dual of this LP. (b) (c) value=10) for which the current basis remains optimal. If b;= 12, what is the new optimal solution? Find the optimal solution of the variables of the dual in part (a). Find the range of values of b2 (right hand side of the 2nd constraint, current
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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Transcribed Image Text:Consider the following linear programming problem and its optimal tableau in Table 1. The
variables s, s2 are slack variables.
Maximize : 3x, + x2 - X3
s.t.
2x, + x2 + x3 < 8
4x1 + x2 - x3< 10
X1, X2, X:
S2
1/2
X1
X2
X3
rhs
1
9.
1
3
2
-1
6.
1
-1
1
(a)
(b)
(c)
value=10) for which the current basis remains optimal. If bz= 12, what is the new
optimal solution?
Find the dual of this LP.
Find the optimal solution of the variables of the dual in part (a).
Find the range of values of b2 (right hand side of the 2nd constraint, current
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