Table 13.6
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 13.6. Assume that two plants, rather than one, are to be located. Plant 1 serves distribution centers A, B, and C. Plant 2 serves distribution centers D and E. What is the center of gravity for plant 1?
A) x ≥ 4, y ≥ 7
B) x ≥ 4, y ≤ 7
C) x ≤ 4, y ≥ 7
D) x ≤ 4, y ≤ 7

Question

Table 13.6
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 13.6. Assume that two plants, rather than one, are to be located. Plant 1 serves distribution centers A, B, and C. Plant 2 serves distribution centers D and E. What is the center of gravity for plant 1?
A) x ≥ 4, y ≥ 7 
B) x ≥ 4, y ≤ 7 
C) x ≤ 4, y ≥ 7 
D) x ≤ 4, y ≤ 7

Quizplus · Accepted Answer

The center of gravity method calculates the best location for a facility based on minimizing transportation costs, considering the locations of facilities it interacts with (e.g., distribution centers) and their respective volumes of goods moved. For Plant 1, serving distribution centers A, B, and C, we calculate the weighted average of the x and y coordinates of these centers, considering their volumes or quantities of goods. If the result for x is greater than or equal to 4 and y is less than or equal to 7, it indicates that Plant 1 should be located in a position where it is to the right (or east) and below (or south) of a point with coordinates (4,7) on a map. Without the specific coordinates and volumes from Table 13.6, we rely on the principle of the center of gravity method to deduce the correct quadrant for the plant's location based on the given options.

Table 13.6 Union Fork, Inc. Has Five Distribution Centers Located at the at the Location