2. Find the duals. a) Maximize Z = 2x₁ + x2-x3 subject to: 2x1 + 2x2 ≤3 -X1 + 4x2 + 2x3 ≤ 5 X1, X2, X3 20 b) Minimize Z = 8x1 + 12x2 subject to: 2x1 + 2x2 ≥ 1 X1 + 3x2 2 2 X1, X₂20

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Linear Programming question a and b.

2. Find the duals.
a) Maximize Z = 2x1+ X2- X3
subject to:
2x1 + 2x2 s 3
-x1 + 4x2 + 2x3< 5
X1, X2, X3 2 0
b) Minimize Z = 8x1+ 12x2
subject to: 2x1 + 2x2 2 1
X1+ 3x2 2 2
X1, X2 2 0
Transcribed Image Text:2. Find the duals. a) Maximize Z = 2x1+ X2- X3 subject to: 2x1 + 2x2 s 3 -x1 + 4x2 + 2x3< 5 X1, X2, X3 2 0 b) Minimize Z = 8x1+ 12x2 subject to: 2x1 + 2x2 2 1 X1+ 3x2 2 2 X1, X2 2 0
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