For the problem below, what is the quantity assigned to the cell Source 1-Destination 2 using the intuitive method for an initial feasible solution? $$\begin{array} { | l | r | r | r | r | }
\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Supply } \
\hline \text { Source 1 } & 2 & 1 & 3 & 50 \
\hline \text { Source 2 } & 4 & 7 & 5 & 40 \
\hline \text { Source 3 } & 3 & 12 & 6 & 30 \
\hline \text { Demand } & 50 & 45 & 25 & 120 \backslash 120 \
\hline
\end{array}$$
A) 1
B) 5
C) 30
D) 45
E) 50

Question

For the problem below, what is the quantity assigned to the cell Source 1-Destination 2 using the intuitive method for an initial feasible solution? $$\begin{array} { | l | r | r | r | r | } 
\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Supply } \
\hline \text { Source 1 } & 2 & 1 & 3 & 50 \
\hline \text { Source 2 } & 4 & 7 & 5 & 40 \
\hline \text { Source 3 } & 3 & 12 & 6 & 30 \
\hline \text { Demand } & 50 & 45 & 25 & 120 \backslash 120 \
\hline
\end{array}$$
A) 1
B) 5
C) 30
D) 45
E) 50

Quizplus · Accepted Answer

The intuitive method for finding an initial feasible solution in transportation problems involves allocating supplies to demands starting from the lowest cost. The lowest cost in the table is 1 (Source 1 to Destination 2). Since the demand for Destination 2 is 45 and the supply from Source 1 is 50, we can fully satisfy the demand for Destination 2 from Source 1 by assigning 45 units to the cell Source 1-Destination 2.

For the Problem Below, What Is the Quantity Assigned to the Cell