9. Solve the following transportation problem: Destination Source Supply 3 4 1 15 18 22 16 30 2 15 19 20 14 40 3 13 16 23 17 30 Demand 20 20 25 35 100 Is the optimal solution obtained by you a unique one? If not, why? What are the alternate optima then?

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9. Solve the foliowing transportation problem:
Destination
Source
Supply
2
3
4
1
15
18
22
16
30
ति
2
15
19
20
14
40
3
13
16
23
17
30
Demand
20
20
25
35
100
Is the optimal solution obtained by you a unique one? If not, why? What are the alternate optima then?
Transcribed Image Text:9. Solve the foliowing transportation problem: Destination Source Supply 2 3 4 1 15 18 22 16 30 ति 2 15 19 20 14 40 3 13 16 23 17 30 Demand 20 20 25 35 100 Is the optimal solution obtained by you a unique one? If not, why? What are the alternate optima then?
10. A company has four warehouses and five stores. The warehouses have total surplus of 430 units of a
given commodity that is divided among them as follows:
Warehouse
W1
W2
W3
WA
elool
es mo
Surplus
150
30
120
130
The five stores have, in all, a requirement of 450 units of the commodity. Individual requirements are
Store
S2
S3
S4
Ss
Requirement
80
60
20
210
80
Cost of shipping one unit from the ith warehouse to the jth store is as displayed in the following table:
Store
Warehouse
S3
S4
Ss
Wi
12
10
10
6.
imin
W d
18
12
11
2
ca wofl
W3
ule
Initiinoi MA T0 feto
20
10
M
7
3
W4
5
6
2
M
8
M in this table indicates that the route is not available.
How should the company arrange to transport the units so that the transportation cost is minimised?
Transcribed Image Text:10. A company has four warehouses and five stores. The warehouses have total surplus of 430 units of a given commodity that is divided among them as follows: Warehouse W1 W2 W3 WA elool es mo Surplus 150 30 120 130 The five stores have, in all, a requirement of 450 units of the commodity. Individual requirements are Store S2 S3 S4 Ss Requirement 80 60 20 210 80 Cost of shipping one unit from the ith warehouse to the jth store is as displayed in the following table: Store Warehouse S3 S4 Ss Wi 12 10 10 6. imin W d 18 12 11 2 ca wofl W3 ule Initiinoi MA T0 feto 20 10 M 7 3 W4 5 6 2 M 8 M in this table indicates that the route is not available. How should the company arrange to transport the units so that the transportation cost is minimised?
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