For the problem below, what is the quantity assigned to the cell Source 3-Destination 1 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) 3
B) 13.333
C) 30
D) 45
E) 50

Question

For the problem below, what is the quantity assigned to the cell Source 3-Destination 1 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) 3
B) 13.333
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 based on the availability and requirement, starting from the top-left corner and moving horizontally and vertically across the table. Given the table, Source 3 has a total supply of 30 units. Since Source 3-Destination 1 is the first allocation for Source 3 and there's no indication that any of Source 3's supply has been allocated to other destinations (as we proceed from left to right and top to bottom), the entire supply of 30 units from Source 3 would be allocated to Destination 1, assuming Destination 1 still requires at least 30 units. Given the demand at Destination 1 is 50 units, it can accept the entire 30 units from Source 3.

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