Table 11.2
A single facility is needed to meet the demands of four markets.The locations and demands of these four markets are shown below.

-Use the information from Table 11.2.What are the x and y coordinates for the center of gravity?

Question

Table 11.2
A single facility is needed to meet the demands of four markets.The locations and demands of these four markets are shown below.
 
-Use the information from Table 11.2.What are the x and y coordinates for the center of gravity?

Quizplus · Accepted Answer

The center of gravity can be calculated using the formula:

x = (Σ(demand x * location x))/Σ(demand x) 
y = (Σ(demand y * location y))/Σ(demand y)

Based on the data in the table, the calculations would be:

x = (3*1 + 4*9 + 5*5 + 8*1)/(3+4+5+8) = 69/20 = 3.45
y = (3*9 + 4*2 + 5*5 + 8*12)/(3+4+5+8) = 119/20 = 5.95

Therefore, the center of gravity is at approximately (3.45, 5.95). This falls in quadrant III, where x is less than 6 and y is greater than 7. Therefore, the best choice is C.

Table 11.2 a Single Facility Is Needed to Meet the Demands of Demands