What is the correct simplex matrix for the following problem? maximize 30x₁ + 50x2 Subject to: 10x₁20x₂ 1200 X₂S 100 2x₂ + 8x₂ 5 400 х1, х2 2 0 O O O X₁ 10 1 O 2 30 X1 10 1 2 -30 X1 10 2 -30 O No answer text provided. X1 -10 -1 -2 -30 X₂ 20 1 8 50 X2 20 1 8 -50 X2 -20 -1 -8 50 X₂ 20 8 -50 $₁ 1 0 0 0 $1 1 0 0 0 $1 1 0 0 0 $1 1 0 0 $₂ 0 1 0 0 $2 0 1 0 0 $2 0 1 0 0 $2 0 0 0 $3 0 0 1 0 $3 0 0 1 0 $3 0 0 1 0 Z 0 0 1 Z 0 0 0 1 Z 0 0 0 1 Z 0 0 0 1 1200 100 400 0 1200 100 400 0 1200 400 0 1200 100 400 0

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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What is the correct simplex matrix for the following problem?
maximize 30x₁ + 50x2
Subject to:
10x₁20x₂ ≤ 1200
X₂ ≤ 100
X₁ +
2X₁ + 8x₂ ≤ 400
X₁, X₂ 20
O
O
X1
10
1
2
30
O O
X1
10
1
2
-30
X1
10
2
-30
O No answer text provided.
X1
-10
-1
-2
-30
X2
20
1
8
50
X2
20
1
8
-50
X2
-20
-1
-8
50
X2
20
8
-50
$1
1
0
0
0
$1
1
0
0
0
$1
1
0
0
0
$1
1
0
0
$2
0
1
0
0
$2
0
1
0
0
$2
0
1
0
0
$2
0
0
0
$3
0
0
1
0
S3
0
0
1
0
$3
0
0
1
0
Z
0
0
1
Z
0
0
0
1
Z
0
0
0
1
Z
0
0
0
1
1200
100
400
0
1200
100
400
0
1200
400
0
1200
100
400
0
Transcribed Image Text:What is the correct simplex matrix for the following problem? maximize 30x₁ + 50x2 Subject to: 10x₁20x₂ ≤ 1200 X₂ ≤ 100 X₁ + 2X₁ + 8x₂ ≤ 400 X₁, X₂ 20 O O X1 10 1 2 30 O O X1 10 1 2 -30 X1 10 2 -30 O No answer text provided. X1 -10 -1 -2 -30 X2 20 1 8 50 X2 20 1 8 -50 X2 -20 -1 -8 50 X2 20 8 -50 $1 1 0 0 0 $1 1 0 0 0 $1 1 0 0 0 $1 1 0 0 $2 0 1 0 0 $2 0 1 0 0 $2 0 1 0 0 $2 0 0 0 $3 0 0 1 0 S3 0 0 1 0 $3 0 0 1 0 Z 0 0 1 Z 0 0 0 1 Z 0 0 0 1 Z 0 0 0 1 1200 100 400 0 1200 100 400 0 1200 400 0 1200 100 400 0
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