Solve the given problem using the simplex method. Minimize: C = 5x +6y Subject to: x + y = 1000 x <= 300 y >= 150 x, y >= 0

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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Question

Solve the given problem using the simplex method.
Minimize: C = 5x +6y
Subject to:
x + y = 1000
x <= 300
y >= 150
x, y >= 0

Table 1
Cj
6
10
10
PROD
QTY
s1
S2
A1
A2
10
A1
1000
S1
300
10
A2
150
-1
Zj
Cj - Zj
10
20
-10
10
10
Table 2
Cj
5
6
10
10
PROD
QTY
S1
S2
A1
A2
1
-1
1
-1
1
Zj
Cj - Zj
10
6
4
10
-4
Table 3
Cj
10
10
PROD
QTY
S1
S2
A1
A2
-1
1
1
-1
1
1
1
-1
1
Zj
Cj - Zj
5
6
-5
4
10
-4
Table 4
Cj
6
10
10
PROD
QTY
s1
S2
A1
A2
-1
1
1
-1
1
1
-1
1
Zj
6
-1
6.
Cj - Zj
4
10
이00
Transcribed Image Text:Table 1 Cj 6 10 10 PROD QTY s1 S2 A1 A2 10 A1 1000 S1 300 10 A2 150 -1 Zj Cj - Zj 10 20 -10 10 10 Table 2 Cj 5 6 10 10 PROD QTY S1 S2 A1 A2 1 -1 1 -1 1 Zj Cj - Zj 10 6 4 10 -4 Table 3 Cj 10 10 PROD QTY S1 S2 A1 A2 -1 1 1 -1 1 1 1 -1 1 Zj Cj - Zj 5 6 -5 4 10 -4 Table 4 Cj 6 10 10 PROD QTY s1 S2 A1 A2 -1 1 1 -1 1 1 -1 1 Zj 6 -1 6. Cj - Zj 4 10 이00
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