Consider the following maximization problem. Maximize subject to the constraints 5x1 I1 2x1 [ P= 10x₁ + x2 - 5x3 T₁ > 0 X2 +9x3 90 15x2 + 3x3 < 52 +3x3 40 x₂ > 0 #3 > 0 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X3 81 82 21 I2 83 RHS

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following maximization problem.
Maximize
subject to the constraints
5x1
I1
201
P = 10x₁ + x₂ - 5x3
x₁ ≥ 0
I₂
+9x3 90
15x2 + 3x3 < 52
+3x3 < 40
x₂ > 0
T3 > 0
82
Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them.
P
X3
81
I1
X2
83
RHS
Transcribed Image Text:Consider the following maximization problem. Maximize subject to the constraints 5x1 I1 201 P = 10x₁ + x₂ - 5x3 x₁ ≥ 0 I₂ +9x3 90 15x2 + 3x3 < 52 +3x3 < 40 x₂ > 0 T3 > 0 82 Introduce slack variables and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. P X3 81 I1 X2 83 RHS
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