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 use the formula:
X = (Σ(xiVi))/ΣVi  and Y = (Σ(yiVi))/ΣVi
where xi and yi are the coordinates of each source, Vi is the volume from each source.

Using the given coordinates and volumes, we get:
X = (20*10 + 30*5 + 40*15 + 50*20)/(10+5+15+20) = 28.125
Y = (30*10 + 20*5 + 10*15 + 40*20)/(10+5+15+20) = 31.25

Therefore, the center of gravity is at (28.125, 31.25) which is closest to choice A.

East Texas Seasonings Is Preparing to Build One Processing Center