Consider the transportation problem and its optimal solution in the tables below. What is the value of the objective function?
$\begin{array}{|l|r|r|r|r|r|}
\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Supply } \
\hline\text { Source 1 } & 12 & 18 & 9 & 11 & 105 \
\hline \text { Source 2 } & 19 & 7 & 30 & 15 & 145 \
\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \
\hline\text { Demand } & 80 & 60 & 70 & 90 & 300/300 \
\hline & & & & & \
\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Row Total } \
\text { Source 1 } & 30 & 0 & 70 & 5 & 105 \
\text { Source 2 } & 0 & 60 & 0 & 85 & 145 \
\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \
\text { Col. Total } & 80 & 60 & 70 & 90 & 300/300 \
\hline
\end{array}$
A) 0
B) $169
C) 300 units
D) $2,100
E) $3,140

Question

Quizplus · Accepted Answer

The value of the objective function is calculated by multiplying the shipment quantities by their respective costs and summing them up: (30*12) + (70*9) + (5*11) + (60*7) + (85*15) + (50*8) = $3,140.

Consider the Transportation Problem and Its Optimal Solution in the Tables