Table 11.7
Nuts-and-Bolts,Inc.wishes to find the best location for a plant that will satisfy customer demand in the following five areas.

-Use the information in Table 11.7.What are the x and y coordinates for the center of gravity?

Question

Table 11.7
Nuts-and-Bolts,Inc.wishes to find the best location for a plant that will satisfy customer demand in the following five areas.
 
-Use the information in Table 11.7.What are the x and y coordinates for the center of gravity?

Quizplus · Accepted Answer

The center of gravity, which represents the optimal location for the plant, is calculated as follows: X-coordinate = [(9 x 200) + (4 x 150) + (6 x 300) + (2 x 100) + (7 x 250)] / (200 + 150 + 300 + 100 + 250) = 5.27. Y-coordinate = [(14 x 200) + (2 x 150) + (6 x 300) + (3 x 100) + (8 x 250)] / (200 + 150 + 300 + 100 + 250) = 6.40. Therefore, the best location for the plant is at approximately (5.27, 6.40), which falls in the quadrant with x > 4.5 and y < 2.

Table 11.7 Nuts-And-Bolts,Inc.wishes to Find the Best Location for a Plant That