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Consider the Transportation Problem and Its Optimal Solution in the Tables

question 77

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Consider the transportation problem and its optimal solution in the tables below. The cell Source 3 - Destination 3 is currently empty. What would be the change in the objective function if the largest possible amount were shipped using that route, leaving all the supply and demand conditions unchanged?  COSTS  Dest. 1  Dest. 2  Dest. 3  Dest. 4  Supply  Source 1 1218911105 Source 2 1973015145 Source 3 810141650 Demand 80607090300/300\begin{array}{|lr|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}

 Shipments  Dest. 1  Dest. 2  Dest. 3  Dest. 4  Row Total  Source 1 300705105 Source 2 060085145 Source 3 5000050 Col. Total 80607090300\300\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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