Table 11.6
Union Fork,Inc.has five distribution centers located at the location coordinates given as follows.The demand at each center is also given.

-Use the information in Table 11.6.What are the x and y coordinates for the center of gravity?

Question

Table 11.6
Union Fork,Inc.has five distribution centers located at the location coordinates given as follows.The demand at each center is also given.
 
-Use the information in Table 11.6.What are the x and y coordinates for the center of gravity?

Quizplus · Accepted Answer

To find the center of gravity, we need to calculate the weighted average location using the demand at each center as the weight. Using the formula for the x-coordinate of the center of gravity, we get:

x-coordinate = (5(6) + 10(9) + 30(2) + 15(5) + 20(8)) / (5+10+30+15+20) = 6.95

Using the formula for the y-coordinate of the center of gravity, we get:

y-coordinate = (5(8) + 10(5) + 30(7) + 15(4) + 20(6)) / (5+10+30+15+20) = 6.25

Therefore, the center of gravity is located at approximately (6.95, 6.25). Since the x-coordinate is greater than 7.5 and the y-coordinate is less than 6, the best choice is B.

Table 11.6 Union Fork,Inc.has Five Distribution Centers Located at the Location Coordinates