Find all the basic solutions of the following LP problem Maximize Z = 2x₁ − 4x2 + 5x3 − 6x4 Such that,

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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Find all the basic solutions of
the following LP problem
Maximize
Z = 2x1 – 4x2 + 5x3
Such that,
6x4
%3D
-
x1 + 4x2 – 2x3 + 8x4 = 2
x1 + 2x2 + x3 +2x4 = 4
X1, X2, X3, X4 2 0
Classify them in the following
four categories (A) Basic
degenerate feasible
solutions are. (B) Basic non
degenerate feasible
solutions are (C) Basic
degenerate infeasible
solutions are. (D) Basic non
degenerate infeasible
solutions are.
Transcribed Image Text:Find all the basic solutions of the following LP problem Maximize Z = 2x1 – 4x2 + 5x3 Such that, 6x4 %3D - x1 + 4x2 – 2x3 + 8x4 = 2 x1 + 2x2 + x3 +2x4 = 4 X1, X2, X3, X4 2 0 Classify them in the following four categories (A) Basic degenerate feasible solutions are. (B) Basic non degenerate feasible solutions are (C) Basic degenerate infeasible solutions are. (D) Basic non degenerate infeasible solutions are.
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