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 to a transportation problem involves allocating supplies to demands starting with the lowest cost options first. Here, the lowest cost is 1 (Source 1 to Destination 2). Since Source 1 has a supply of 50 and Destination 2 has a demand of 45, we can fulfill the entire demand of Destination 2 from Source 1. Therefore, the quantity assigned to the cell Source 1-Destination 2 is 45.

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