We have three Suppliers and four Demanders. the Suppliers have inventory of 23, 43, 37 respectively, and the Demanders require 34, 11, 50, 8 respectively. Shipping costs from S1 to D1, D2, D3, D4 are 48, 55, 76, 62 from S2 to D1, D2, D3, D4 are 36, 66, 32, 85 from S3 to D1, D2, D3, D4 are 44, 84, 80, 93. Check that this is a balanced transportation problem. Find the optimal mimimal shipping cost: | ON

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section13.4: Multiple Regression Models
Problem 12P
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We have three Suppliers and four Demanders.
the Suppliers have inventory of 23, 43, 37 respectively,
and the Demanders require 34, 11, 50, 8 respectively.
Shipping costs from S1 to D1, D2, D3, D4 are 48, 55, 76, 62
from S2 to D1, D2, D3, D4 are 36, 66, 32, 85
from S3 to D1, D2, D3, D4 are 44, 84, 80, 93.
Check that this is a balanced transportation problem.
Find the optimal mimimal shipping cost:
0
Transcribed Image Text:We have three Suppliers and four Demanders. the Suppliers have inventory of 23, 43, 37 respectively, and the Demanders require 34, 11, 50, 8 respectively. Shipping costs from S1 to D1, D2, D3, D4 are 48, 55, 76, 62 from S2 to D1, D2, D3, D4 are 36, 66, 32, 85 from S3 to D1, D2, D3, D4 are 44, 84, 80, 93. Check that this is a balanced transportation problem. Find the optimal mimimal shipping cost: 0
Here is the optimal tableau for a standard Max problem.
The original rhs was
X3
C4
3
0
.3
7.5
0
-.1
28
360 0
-8
0 0 -1/15 -3 1 1/15
2
1 0
OTOS
000
1
0
X2
CT
56
$1
Complete using the Dual Simplex. what is the optimal value of z?
Comm
[300]
180 but the value of b₁ has been changed to 259
300
$2
83
5
0
.2
0
12
1
-1/10 0
rhs
2700
6
60
2
First use the B-matrix method to find the new rhs for the above tableau
(recall the shortcut for updated ž is y b where y is the dual solution and b is the updated rhs).
what is the new value of b3 in the updated tableau?
K
Transcribed Image Text:Here is the optimal tableau for a standard Max problem. The original rhs was X3 C4 3 0 .3 7.5 0 -.1 28 360 0 -8 0 0 -1/15 -3 1 1/15 2 1 0 OTOS 000 1 0 X2 CT 56 $1 Complete using the Dual Simplex. what is the optimal value of z? Comm [300] 180 but the value of b₁ has been changed to 259 300 $2 83 5 0 .2 0 12 1 -1/10 0 rhs 2700 6 60 2 First use the B-matrix method to find the new rhs for the above tableau (recall the shortcut for updated ž is y b where y is the dual solution and b is the updated rhs). what is the new value of b3 in the updated tableau? K
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9781337406659
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Cengage,