Consider the following LP: Subject to Maximize z = x₁ 5X + X2 = 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following LP:
Subject to
Maximize z = X₁
I
5X1 + X2
6x₁
3x₁
+ X4
X₁, X2, X3, X4 20
(a) Solve the problem by inspection (do not use the Gauss-
Jordan row operations), and justify the answer in terms of
the basic solutions of the simplex method.
+ X3
= 4
= 8
= 3
(b) Repeat (a) assuming that the objective function calls for
minimizing z = X₁
Transcribed Image Text:Consider the following LP: Subject to Maximize z = X₁ I 5X1 + X2 6x₁ 3x₁ + X4 X₁, X2, X3, X4 20 (a) Solve the problem by inspection (do not use the Gauss- Jordan row operations), and justify the answer in terms of the basic solutions of the simplex method. + X3 = 4 = 8 = 3 (b) Repeat (a) assuming that the objective function calls for minimizing z = X₁
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