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 = 32500; Y = 35000
C) X = 32.5; Y = 35
D) center of gravity = 28
E) X = 27.5; 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 = 32500; Y = 35000 
C) X = 32.5; Y = 35 
D) center of gravity = 28 
E) X = 27.5; Y = 40

Quizplus · Accepted Answer

To find the center of gravity, we need to multiply the volume from each source by its respective coordinates, sum these products, and then divide by the total volume.

Center of gravity X-coordinate = (55000*28 + 40000*30 + 10000*35 + 30000*40) / (55000+40000+10000+30000) = 32.5

Center of gravity Y-coordinate = (55000*30 + 40000*40 + 10000*20 + 30000*30) / (55000+40000+10000+30000) = 35

Therefore, the center of gravity is at coordinates (32.5, 35), which is option C.

East Texas Seasonings Is Preparing to Build One Processing Center