Malhotra Company Has Four Distribution Centers Located at the Location

Multiple Choice

Malhotra Company has four distribution centers located at the location coordinates given as follows.The monthly demand at each center is also given.
$$\begin{array} { | c | c | c | } \hline \mathrm { DC } & \text { Coordinates } & \text { Demand } \\\hline \mathrm { A } & ( 100,150 ) & 50 \\\mathrm {~B} & ( 250,250 ) & 30 \\\mathrm { C } & ( 150,150 ) & 15 \\\mathrm { D } & ( 200,300 ) & 100 \\\hline\end{array}$$
Management wants to build a new plant that would be located at the center of gravity of the four distribution centers.Which of the following options best represents the coordinates of new plant location?

A) x-coordinate is greater than 150 but less than 170; y-coordinate is greater than 210 but less than 230
B) x-coordinate is greater than 150 but less than 170; y-coordinate is greater than 230 but less than 250
C) x-coordinate is greater than 170 but less than 190; y-coordinate is greater than 210 but less than 230
D) x-coordinate is greater than 170 but less than 190; y-coordinate is greater than 230 but less than 250