3. Cars are shipped from three distribution centers to five dealers. The shipping cost between each combination of distributions centers and dealers are shown in the following table. Dealer Supply 3 200 60 100 150 Dist. Center 1 2 3 Demand 1 100 50 40 100 2 150 70 90 200 4 140 65 150 160 5 35 80 130 140 400 200 100 (a) Balance the transportation model ! (b) Using transportation algorithm, determine the starting (initial) solution of the problem using "Northwest-corner method" ! (c) Using transportation algorithm, determine the starting (initial) solution of the problem using "Least-cost method" ! (d) Which method (between Northwest-corner and Least-cost) gives better starting solution? Explain!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Cars are shipped from three distribution centers to five dealers. The shipping cost between
each combination of distributions centers and dealers are shown in the following table.
Dealer
Supply
3
200
60
100
150
Dist.
Center
1
2
3
Demand
1
100
50
40
100
2
150
70
90
200
4
140
65
150
160
5
35
80
130
140
400
200
100
(a) Balance the transportation model !
(b) Using transportation algorithm, determine the starting (initial) solution of the problem
using "Northwest-corner method" !
(c) Using transportation algorithm, determine the starting (initial) solution of the problem
using "Least-cost method" !
(d) Which method (between Northwest-corner and Least-cost) gives better starting solution?
Explain!
Transcribed Image Text:3. Cars are shipped from three distribution centers to five dealers. The shipping cost between each combination of distributions centers and dealers are shown in the following table. Dealer Supply 3 200 60 100 150 Dist. Center 1 2 3 Demand 1 100 50 40 100 2 150 70 90 200 4 140 65 150 160 5 35 80 130 140 400 200 100 (a) Balance the transportation model ! (b) Using transportation algorithm, determine the starting (initial) solution of the problem using "Northwest-corner method" ! (c) Using transportation algorithm, determine the starting (initial) solution of the problem using "Least-cost method" ! (d) Which method (between Northwest-corner and Least-cost) gives better starting solution? Explain!
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