Consider the Transportation Problem in the Data Set and Optimal

question 25

Short Answer

Consider the transportation problem in the data set and optimal solution below. Calculate improvement indices on each empty cell. Is this solution optimal? $\begin{array}{|l|r|r|r|r|r|}\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Supply } \\\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 105 \\\hline \text { Source 2 } & 19 & 7 & 30 & 15 & 145 \\\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \\\hline \text { Demand } & 80 & 60 & 70 & 90 & 300/300 \\\hline\end{array}$

$\begin{array}{|lrrrrr|}\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Row Total } \\\text { Source 1 } & 30 & 0 & 70 & 5 & 105 \\\text { Source 2 } & 0 & 60 & 0 & 85 & 145 \\\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \\\text { Col. Total } & 80 & 60 & 70 & 90 & 300 \backslash 300 \\\hline\end{array}$

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Definitions:

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The social science that blends concepts from sociology and psychology and focuses on how people influence each other in a social setting.

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