(a) Maximize z = 2x1 – 4x2 + 5x3 – 6x4 subject to X1 + 4x2 – 2xz + 8x4 < 2 -x1 + 2r2 + 3x3 + 4x4 < 1 X1, X2, X3, X4 > 0
(a) Maximize z = 2x1 – 4x2 + 5x3 – 6x4 subject to X1 + 4x2 – 2xz + 8x4 < 2 -x1 + 2r2 + 3x3 + 4x4 < 1 X1, X2, X3, X4 > 0
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:Determine the optimum solution for each of the following LPs by enumerating all the
basic solutions.
(a) Maximize z = 2x1 – 4x2 + 5x3 – 6x4
subject to
X1 + 4x2 – 2xz + 8x4 < 2
-x1 + 2x2 + 3x3 + 4x4 < 1
X1, X2, X3, X4 2 0
(b) Minimize z = x1 + 2x2 – 3x3 – 2x4
subject to
X1 + 2r2 – 3xz + x4 = 4
|
x1 + 2r2 + xz + 2x4
= 4
X1, X2, X3, X4 2 0
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