East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings.The four source locations are at coordinates shown below.Also,the volume from each source is provided.What is the center of gravity?
A)X = 28.125;Y = 31.25
B)X = 22000;Y = 24000
C)X = 27.5;Y = 40
D)center of gravity = 28
E)X = 25;Y = 40

Question

East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings.The four source locations are at coordinates shown below.Also,the volume from each source is provided.What is the center of gravity? 
A)X = 28.125;Y = 31.25 
B)X = 22000;Y = 24000 
C)X = 27.5;Y = 40 
D)center of gravity = 28 
E)X = 25;Y = 40

Quizplus · Accepted Answer

The center of gravity formula is:

X coordinate = (Σ (volume * X coordinate))/Σ volume
Y coordinate = (Σ (volume * Y coordinate))/Σ volume

Using this formula with the given information, the center of gravity is X=28.125 and Y=31.25. Therefore, the best choice is A.

East Texas Seasonings Is Preparing to Build One Processing Center