Table 11.3
Durham Toy,Inc.has five distribution centers at the location coordinates given as follows.The monthly demand at each center is also given.

-Use the information in Table 11.3.What are the x and y coordinates for the center of gravity?

Question

Table 11.3
Durham Toy,Inc.has five distribution centers at the location coordinates given as follows.The monthly demand at each center is also given.
 
-Use the information in Table 11.3.What are the x and y coordinates for the center of gravity?

Quizplus · Accepted Answer

To find the center of gravity, we need to compute the sum of the products of the demand and the coordinates for x and y. Then we divide each sum by the total demand. Doing this for the five distribution centers gives:

x-coordinate: (11*10 + 5*5 + 14*12 + 9*16 + 6*4) / (11+5+14+9+6) = 11.65
y-coordinate: (11*15 + 5*10 + 14*16 + 9*11 + 6*5) / (11+5+14+9+6) = 13.95

Therefore, the center of gravity is (11.65, 13.95). Since both x and y are greater than 14 and 15, the correct answer is A.

Table 11.3 Durham Toy,Inc.has Five Distribution Centers at the Location Coordinates Given