9.2-3. Consider the transportation problem having the following parameter table: Destination 1 2 3 4 5 Supply Source 123 1 2 3 4(D) 8558 6 M 6 3 9 000 3880 3 7460 7 6 0 5189 5 7 0 20 2332 20 30 30 Demand 25 25 20 10 20 After several iterations of the transportation simplex method, a BF solution is obtained that has the following basic variables: x13 = 20, x21 = 25, x24 = 20, x21 = 25,x24 = 5, x32 = 25, x34 = 5, x42 = 0, x43 = 0, x45 = 20. Continue the transportation simplex method for two more iterations by hand. After these two iterations, state whether the solution is optimal and, if so, why.

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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9.2-3. Consider the transportation problem having the following parameter table:
123
Destination
1 2 3 4 5 Supply
8558
6
M
3880
7460
7
5180
2332
1
3
7
5
20
Source
2
3
30
6
3
9
6
30
4(D) 0
0 0
0
0 20
Demand
25
25 20 10
20
After several iterations of the transportation simplex method, a BF solution is obtained
that has the following basic variables: x13 = 20, x21 = 25,x24 = 5, x32 = 25, x34 = 5, x42 =
0, x43 = 0, x45 = 20. Continue the transportation simplex method for two more iterations
by hand. After these two iterations, state whether the solution is optimal and, if so, why.
Transcribed Image Text:9.2-3. Consider the transportation problem having the following parameter table: 123 Destination 1 2 3 4 5 Supply 8558 6 M 3880 7460 7 5180 2332 1 3 7 5 20 Source 2 3 30 6 3 9 6 30 4(D) 0 0 0 0 0 20 Demand 25 25 20 10 20 After several iterations of the transportation simplex method, a BF solution is obtained that has the following basic variables: x13 = 20, x21 = 25,x24 = 5, x32 = 25, x34 = 5, x42 = 0, x43 = 0, x45 = 20. Continue the transportation simplex method for two more iterations by hand. After these two iterations, state whether the solution is optimal and, if so, why.
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