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Consider the Transportation Problem in the Data Set and Optimal

Question 88

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Consider the transportation problem in the data set and optimal solution below.
Calculate improvement indices on each empty cell. Is this solution optimal?
 COSTS  Dest. 1  Dest. 2  Dest. 3  Dest 4  Supply  Source 1 1218911100 Source 2 2173015150 Source 3 810141650 Demand 80607090300/300 Shipments  Dest. 1  Dest. 2  Dest. 3  Dest. 4 Row Total  Source 1 300700100 Source 2 060090150 Source 3 5000050 Col. Total 80607090300/300\begin{array}{|l|r|r|r|r|r|}\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest 4 } & \text { Supply } \\\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 100 \\\hline\text { Source 2 } & 21 & 7 & 30 & 15 & 150 \\\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \\\hline\text { Demand } & 80 & 60 & 70 & 90 & 300/300 \\\hline & & & & & \\\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text {Row Total } \\\text { Source 1 } & 30 & 0 & 70 & 0 & 100 \\\text { Source 2 } & 0 & 60 & 0 & 90 & 150 \\\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \\\text { Col. Total } & 80 & 60 & 70 & 90 & 300/300 \\\hline\end{array}

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