Consider the transportation data set for a minimization problem below
a. Calculate the initial solution using the northwest-corner rule.
b. Calculate improvement indices, iterate, and solve for the optimal shipping pattern.
The initial solution and improvement indices appear in the first table below. The optimal solution appears in the second table.
NWC Dest. 1 Dest. 2 Dest. 3 Row Total
Origin 1 Ship 15 Ship 15 Save 5 30
Origin 2 Add 1 Ship 35 Ship 5 40
Origin 3 Save 3 Add 2 Ship 20 20
Col. Total 15 50 25 90 90
Shipments Dest. 1 Dest. 2 Dest. 3 Row Total
Origin 1 0 5 25 30
Origin 2 0 40 0 40
Origin 3 15 5 0 20
Col. Total 15 50 25 90 90
Total Cost $255
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