D5.3-3.Consider the following problem. Maximize subject to 2x₁ + 2x₂ + 3x352 -4x₁-2x₂-x53 x₁ + 2x₂ + √2x51 and Z=6x₁ + x₂ + 2x3,
D5.3-3.Consider the following problem. Maximize subject to 2x₁ + 2x₂ + 3x352 -4x₁-2x₂-x53 x₁ + 2x₂ + √2x51 and Z=6x₁ + x₂ + 2x3,
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:D 5.3-3.Consider the following problem.
Maximize
subject to
2x₁ + 2x2+2x352
-4x₁-2x₂-353
x₁ +26₂ + 12x51
and
x₁ ≥ 0, x₂ ≥ 0,
x3 ≥ 0.
Let x4, x5, and x6 denote the slack variables for the respective constraints. After you apply the
simplex method, a portion of the final simplex tableau is as follows:
Coefficient of:
Basic
Variable
N
X5
X3
X₁
Eq. Z X₁ X₂
(0) 1
(1)
(2)
(3)
Z=6x₁ + x₂ + 2x3,
000
X3 X4 X5
2
0
1
1
-2
0
X6
2
2
4
10 -1
Right
Side
Identify the missing numbers in the final simplex tableau. Show your calculations.
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