Consider the transportation problem having the following parameter table: Source 1 2 Demand 1 6 5 30 Destination 2 7 8 40 3 4 30 Supply 40 60 Formulate the network representation of this problem as a minimum cost flow problem. Use the northwest corner rule to obtain an initial BF solution. Then use the network simplex method to solve the problem.

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Consider the transportation problem having the following parameter table:
Source 1
2
Demand
1
6
5
30
Destination
2
7
8
40
3
4
6
30
Supply
40
60
Formulate the network representation of this problem as a minimum cost flow problem. Use the
northwest corner rule to obtain an initial BF solution. Then use the network simplex method to solve
the problem.
Transcribed Image Text:Consider the transportation problem having the following parameter table: Source 1 2 Demand 1 6 5 30 Destination 2 7 8 40 3 4 6 30 Supply 40 60 Formulate the network representation of this problem as a minimum cost flow problem. Use the northwest corner rule to obtain an initial BF solution. Then use the network simplex method to solve the problem.
Expert Solution
Step 1

The northwest corner method is explained below:

  D1 D2 D3 Supply
S1 6 7 4 40
S2 5 8 6 60
Demand 0 40 30  

Table-1

Operations Management homework question answer, step 1, image 1

Operations Management homework question answer, step 1, image 2

Operations Management homework question answer, step 1, image 3

The minimum total transportation cost =6×30+7×10+8×30+6×30=670

 

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