1. Using the simplex procedure, solve: Maximize 2x₁ + 4x2 + x3 + x4 x1 + 3x2 2x1 + x2 subject to 1 + x4 <4 <3 x2 + 4x3 + x4 ≤ 3 X1, X2, X3, X4 20 (slam)

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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Linear Programming: Please see and solve the problem how the tableau was done in 2nd photo, that’s easier for me to understand. Convert to standard form and solve
#3 Cont
+ R₂
10
Q
R₁-5R2
R3+10R₂
5R₂
R₁ +422
R3 + 2 R₂
1217
(2 + ² R₁
min -10X₁ - 6x2 +8x3
St.
bv
jX₂
X45
510
X 4
XI
1-10
5
1
Pela
|--10
1
blo
O
5 X ₁-2 X2 +6X3 + xy =
110 X₁ + 4x₂ - 6x3 + x5
X₁1 X21 X 31
X4 X5 20
X41
X1 5/2
0
X4 10
X25/2
5
X4 10/3
X2 5/2
5
X3 10/3
X215
25/3
X₂
-2
니
-6
-2
NOWYJNIN
5
1-4
D
to
-2
-
X3 X4 X5
6
O
0
1
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1
O
4
-2
0
1
0
9/20
9
1
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0
-3
1
20
91
2
3.
1
- 23/20
1-1
1
30 to 3
30
5
-3/1/20
-bo-o
01/12
32
1
-2/22
= 20
=30
1
21/12
1
ib
20
30
O
20
3
O
i/c
5
15/2
3/2
45
1/3 16 35/3
1/4 15/2
30
35)
O
3/2/45
43 16 35/3
25
½/22
5/3 170/3
Transcribed Image Text:#3 Cont + R₂ 10 Q R₁-5R2 R3+10R₂ 5R₂ R₁ +422 R3 + 2 R₂ 1217 (2 + ² R₁ min -10X₁ - 6x2 +8x3 St. bv jX₂ X45 510 X 4 XI 1-10 5 1 Pela |--10 1 blo O 5 X ₁-2 X2 +6X3 + xy = 110 X₁ + 4x₂ - 6x3 + x5 X₁1 X21 X 31 X4 X5 20 X41 X1 5/2 0 X4 10 X25/2 5 X4 10/3 X2 5/2 5 X3 10/3 X215 25/3 X₂ -2 니 -6 -2 NOWYJNIN 5 1-4 D to -2 - X3 X4 X5 6 O 0 1 O 1 O 4 -2 0 1 0 9/20 9 1 80 OOOOOOO 0 -3 1 20 91 2 3. 1 - 23/20 1-1 1 30 to 3 30 5 -3/1/20 -bo-o 01/12 32 1 -2/22 = 20 =30 1 21/12 1 ib 20 30 O 20 3 O i/c 5 15/2 3/2 45 1/3 16 35/3 1/4 15/2 30 35) O 3/2/45 43 16 35/3 25 ½/22 5/3 170/3
1. Using the simplex procedure, solve:
(Maximize
subject to
1
11
2x1 +4x2 + x3 + x4
b).
x1 + 3x₂
2x1 + x2
+ X4 <4
<3
x2 + 4x3 + x4 ≤3
X1, X2, X3, X4 ≥ 0
1 1
Transcribed Image Text:1. Using the simplex procedure, solve: (Maximize subject to 1 11 2x1 +4x2 + x3 + x4 b). x1 + 3x₂ 2x1 + x2 + X4 <4 <3 x2 + 4x3 + x4 ≤3 X1, X2, X3, X4 ≥ 0 1 1
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You didn't follow the same structure of the tableau i gave you in 2nd photo. Please refer back to using that structure... I don't understand this

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