Consider the Transportation Problem and Its Optimal Solution in the Tables

question 50

Multiple Choice

Consider the transportation problem and its optimal solution in the tables below. What is the value of the objective function? $\begin{array}{|lr|r|r|r|r|}\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Supply } \\\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 105 \\\hline \text { Source 2 } & 19 & 7 & 30 & 15 & 145 \\\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \\\hline \text { Demand } & 80 & 60 & 70 & 90 & 300/300 \\\hline\end{array}$

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

• A) 0
• B) $169
• C) 300 units
• D) $2,100
• E) $3,140

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