Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Question Number - 02
SSK Private Limited is having passenger transport service operating for a longer time period
since 1980. They charge from the passengers depend on the kilometre they travel and distance
between the origin of place and destination of place. The company main income comes from
the service fees charged from the passengers as transport fees charged per kilometer basis. The
following table shows the transport fee charged per kilometre from the source to destinations.
Source of
Origins (Rs. Per Km)
X1
X2
X3
X4
X5
Y1
51
35
50
15
32
Y2
20
32
61
16
31
Y3
19
43
74
18
27
Y4
16
41
12
22
29
Number of kilometre required by the source of destinations and number of kilometres
allowed by the source of Origins are shown in the following two tables.
Total Mileage
Required (Kms)
Source of
Origins
X1
Source of
Total Mileage
Granted (Kms)
Destinations
Y1
8000
6000
Y2
6000
X2
5000
Y3
9000
X3
4000
Y4
1000
X4
8000
X5
4000
Based on the above information you are required to find out initial basic feasible solution
based on appropriate three techniques and optimize the results using a suitable method. (Your
justification on the answer is required).
Source of
Destinations
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Transcribed Image Text:Question Number - 02 SSK Private Limited is having passenger transport service operating for a longer time period since 1980. They charge from the passengers depend on the kilometre they travel and distance between the origin of place and destination of place. The company main income comes from the service fees charged from the passengers as transport fees charged per kilometer basis. The following table shows the transport fee charged per kilometre from the source to destinations. Source of Origins (Rs. Per Km) X1 X2 X3 X4 X5 Y1 51 35 50 15 32 Y2 20 32 61 16 31 Y3 19 43 74 18 27 Y4 16 41 12 22 29 Number of kilometre required by the source of destinations and number of kilometres allowed by the source of Origins are shown in the following two tables. Total Mileage Required (Kms) Source of Origins X1 Source of Total Mileage Granted (Kms) Destinations Y1 8000 6000 Y2 6000 X2 5000 Y3 9000 X3 4000 Y4 1000 X4 8000 X5 4000 Based on the above information you are required to find out initial basic feasible solution based on appropriate three techniques and optimize the results using a suitable method. (Your justification on the answer is required). Source of Destinations
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