Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S 245 5x1 + x₁20, X₂ ≥ 0, X3 2 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Maximize z = 10x₁ + 55x2 + 50x3, subject to
4x₂ +
9x3 ≤ 122
13x2 + 22x3 S 142
6x215x3 S 245
≥ 0, X3 2 0.
X3
$1
16x1
X1
-
8X₁ +
5X1+
x1 ≥ 0, X₂
X2
$2
$3
N
Transcribed Image Text:Maximize z = 10x₁ + 55x2 + 50x3, subject to 4x₂ + 9x3 ≤ 122 13x2 + 22x3 S 142 6x215x3 S 245 ≥ 0, X3 2 0. X3 $1 16x1 X1 - 8X₁ + 5X1+ x1 ≥ 0, X₂ X2 $2 $3 N
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