Consider the primal LP problem given below: The optimal tableau is given by: Basic Variables 1. 2 81 21 I₂ x1 0 subject to: 0 1 0 Determine B-¹ X2 0 0 Max = 3r₁ + 2x₂ + 2x3 0 1 2x1 + x₂ + 2x3 ≤ 15 2x1 + x2 + x3 ≤ 12 1₁+1₂ +213 ≤8 11, 12, 13 20 13 -2 1 -1 3 81 0 1 0 0 82 -1 -1 1 -1 83 -1 0 -1 2 RHS 20 3 4 4
Consider the primal LP problem given below: The optimal tableau is given by: Basic Variables 1. 2 81 21 I₂ x1 0 subject to: 0 1 0 Determine B-¹ X2 0 0 Max = 3r₁ + 2x₂ + 2x3 0 1 2x1 + x₂ + 2x3 ≤ 15 2x1 + x2 + x3 ≤ 12 1₁+1₂ +213 ≤8 11, 12, 13 20 13 -2 1 -1 3 81 0 1 0 0 82 -1 -1 1 -1 83 -1 0 -1 2 RHS 20 3 4 4
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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Transcribed Image Text:Consider the primal LP problem given below:
The optimal tableau is given by:
Basic Variables X1
0
1.
2.
3.
4.
5.
6.
2
81
x1
X2
0
1
a2= 0.5
subject to:
Max 2 = 3x₁ + 2x2 + 2x3
X2
0
0
0
1
2x1 + x₂ + 2x3 ≤ 15
2x1 + x2 + x3 ≤ 12
x₁ + x₂ + 2x3 ≤8
X1, X2, 320
X3
-2
-1
3
81
0
1
0
0
82
-1
7. What will happen if we add the constraint:
-, *₁ + x₂ + x3 ≤9
-1
1
-1
"What will happen if we change the RHS to ?
1
83
-1
0
Determine B-¹,
) Find the range of optimality of ₁.
Find the range of feasibility of constraints 3.
What will happen if we change c₁ = 3 to c₁ = 6 and ₂ = 2 to c₂ = 1?
0
(b,
-1
2
RHS
20
3
What will happen if we change the coefficients of r2 to c₂ = 3 and
4
4
2x1 + x3 ≤ 6
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