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

To find the center of gravity, we need to calculate the weighted average of the coordinates of the four sources, using the volume of each source as the weight. 
X-coordinate of center of gravity = (28*2000 + 25*3000 + 30*4000 + 35*1000)/(2000+3000+4000+1000) = 28.125
Y-coordinate of center of gravity = (30*2000 + 40*3000 + 50*4000 + 60*1000)/(2000+3000+4000+1000) = 31.25
Therefore, the center of gravity is at (28.125, 31.25). The closest answer choice is A.

East Texas Seasonings Is Preparing to Build One Processing Center