To start the simplex method, we need to first transform this LP into a standard form by adding slack variables, x3 and x4. Max Z=1+2x2, s. t. 1+ 3x2 + x3 x1 + x2 +4=4 X1, X2, x3, x40 11 = 8

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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To start the simplex method, we need to first transform this LP into a standard form
by adding slack variables, x3 and x4.
Max Z= 1+ 2x2,
s. t.
1+ 3x2 + x3
x1 + x2
1, X2, x3, x40
C 8
+4 4
Which of the following is the initial feasible solution based on the Simplex algorithm
using algebraic method? (Assuming all nonbasic variables are zero)
0x₁=0, x₂ = 8/3, x3 = 0 x 4 = 4/3
Ox₁ = 2, x₂ = 2, x3 = 0x4 = 0
-
Ox₁=0, x₂ = 0, x3 = 8 x 4 = 4
Ox₁ = 4, x₂ = 0, 3 = 4 x 4 = 0
Transcribed Image Text:To start the simplex method, we need to first transform this LP into a standard form by adding slack variables, x3 and x4. Max Z= 1+ 2x2, s. t. 1+ 3x2 + x3 x1 + x2 1, X2, x3, x40 C 8 +4 4 Which of the following is the initial feasible solution based on the Simplex algorithm using algebraic method? (Assuming all nonbasic variables are zero) 0x₁=0, x₂ = 8/3, x3 = 0 x 4 = 4/3 Ox₁ = 2, x₂ = 2, x3 = 0x4 = 0 - Ox₁=0, x₂ = 0, x3 = 8 x 4 = 4 Ox₁ = 4, x₂ = 0, 3 = 4 x 4 = 0
Consider the LP model here,
Max Z = x1 + 2x2,
s. t.
1+ 3x28
X1
X₂ 4
X1,
X20
Transcribed Image Text:Consider the LP model here, Max Z = x1 + 2x2, s. t. 1+ 3x28 X1 X₂ 4 X1, X20
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