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Consider the following transportation problem: a) Determine the optimal solution. b) Assume that c23 is replaced by 3. Without solving the problem again, determine the

Consider the following transportation problem:

a) Determine the optimal solution. b) Assume that c23 is replaced by 3. Without solving the problem again, determine the optimal solution. c) Suppose now that c12 is changed to 5 (c23 is conserved in 3) Which of the optimality conditions is not satisfied for the solution in the first part? Determine the new optimal solution.Consider the following transportation problem:

1 2 3 4 Supply
1 4 3 6 5 20
2 7 10 4 6 30
3 8 9 11 7 50
Demand 20 30 20 30

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