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1. Minimize z = 3x, + 4x2 subject to x, + 4x2 > 8 2x1 + 3x2 2 12 2х, + х, 2 6 х, 20, х, 2 0. 2. Minimize z = 6x, + 6x2 + 8x3 + 9x4 subject to x1 + 2x2 + 3 + X4 2 3 2x, + x2 + 4x3 + 9x4 2 8 X1 2 0, x2 > 0, x3 2 0, x4 2 0.

1. Minimize z = 3x, + 4x2 subject to x, + 4x2 > 8 2x1 + 3x2 2 12 2х, + х, 2 6 х, 20, х, 2 0. 2. Minimize z = 6x, + 6x2 + 8x3 + 9x4 subject to x1 + 2x2 + 3 + X4 2 3 2x, + x2 + 4x3 + 9x4 2 8 X1 2 0, x2 > 0, x3 2 0, x4 2 0.

Advanced Engineering Mathematics
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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1. Minimize z = 3x1 + 4x2 subject to x; + 4x2 > 8 2x1 + 3x2 2 12 2x, + x2 2 6 х, 2 0, х, 2 0. 2. Minimize z = 6x; + 6x2 + 8x3 + 9x4 subject to %3D x1 + 2x2 + x3 + X4 2 3 2x, + x2 + 4x3 + 9x4 2 8 X1 2 0, x2 > 0, x3 2 0, x4 2 0.
Transcribed Image Text:1. Minimize z = 3x1 + 4x2 subject to x; + 4x2 > 8 2x1 + 3x2 2 12 2x, + x2 2 6 х, 2 0, х, 2 0. 2. Minimize z = 6x; + 6x2 + 8x3 + 9x4 subject to %3D x1 + 2x2 + x3 + X4 2 3 2x, + x2 + 4x3 + 9x4 2 8 X1 2 0, x2 > 0, x3 2 0, x4 2 0.
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