Best Tools wants to locate a warehouse to serve their major distributors that are shown in the table below.What are the x and y coordinates for the location that will minimize the transportation costs for their distribution network? $$\begin{array} { | l | l | l | l }
\hline \text { Distributor } & \begin{array} { c }
\text { Annual Volume } \
\text { (units) }
\end{array} & \text { X-Coordinate } & \text { Y-Coordinate } \
\hline \text { Excelsior } & 10,000 & 5 & 5 \
\hline \text { Sapphire } & 15,000 & 4 & 6 \
\hline \text { Stevens } & 8,000 & 6 & 8 \
\hline \text { Johnson } & 12,000 & 5 & 1 \
\hline
\end{array}$$

Question

Best Tools wants to locate a warehouse to serve their major distributors that are shown in the table below.What are the x and y coordinates for the location that will minimize the transportation costs for their distribution network? $$\begin{array} { | l | l | l | l } 
\hline \text { Distributor } & \begin{array} { c } 
\text { Annual Volume } \
\text { (units) }
\end{array} & \text { X-Coordinate } & \text { Y-Coordinate } \
\hline \text { Excelsior } & 10,000 & 5 & 5 \
\hline \text { Sapphire } & 15,000 & 4 & 6 \
\hline \text { Stevens } & 8,000 & 6 & 8 \
\hline \text { Johnson } & 12,000 & 5 & 1 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The correct location is near (5,5) because it minimizes the total transportation cost. The total transportation cost is calculated by multiplying the annual volume of each distributor by the distance from the warehouse to the distributor. The distance is calculated using the Euclidean distance formula. The total transportation cost is minimized when the warehouse is located at the center of the distribution network, which is near (5,5).

Best Tools Wants to Locate a Warehouse to Serve Their