Kiddie Clothes wishes to locate its warehouse so that it would serve its four different stores, described as follows. Based on the center of gravity, what are the x- and y- coordinates of the proposed warehouse location? $$\begin{array} { | l | l | l | l | }
\hline \text { Store } & \mathrm { x } & \mathrm { y } & \text { Trips/Day } \
\hline \mathrm { A } & 1 & 4 & 5 \
\mathrm {~B} & 2 & 2 & 1 \
\mathrm { C } & 4 & 3 & 2 \
\mathrm { D } & 3 & 2 & 3 \
\hline
\end{array}$$

Question

Kiddie Clothes wishes to locate its warehouse so that it would serve its four different stores, described as follows. Based on the center of gravity, what are the x- and y- coordinates of the proposed warehouse location? $$\begin{array} { | l | l | l | l | } 
\hline \text { Store } & \mathrm { x } & \mathrm { y } & \text { Trips/Day } \
\hline \mathrm { A } & 1 & 4 & 5 \
\mathrm {~B} & 2 & 2 & 1 \
\mathrm { C } & 4 & 3 & 2 \
\mathrm { D } & 3 & 2 & 3 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The center of gravity is calculated by weighting the coordinates by the number of trips. The x-coordinate is (1*5 + 2*1 + 4*2 + 3*3) / (5+1+2+3) = 2.3, and the y-coordinate is (4*5 + 2*1 + 3*2 + 2*3) / (5+1+2+3) = 3.1.

Kiddie Clothes Wishes to Locate Its Warehouse So That It