Aalogistics Co. has just signed a contract to deliver products to three location
ID: 384001 • Letter: A
Question
Aalogistics Co. has just signed a contract to deliver products to three locations, and they are trying to decide where to put their new warehouse. The three delivery locations are Chicago, Kansas City, and Memphis. The x, y coordinates for the delivery locations are as follows:
Location
x coordinate
y coordinate
Chicago
92
42
Kansas City
85
39
Memphis
90
35
The total quantity to be delivered to each destination is: 400 to Chicago, 150 to Kansas City, and
100 to Memphis. Calculate the location of the new warehouse using
the Center of Gravity
approach.
a) X =
89.00, Y = 38.67
b)
X = 103.00, Y = 45.00
c) X = 73.81, Y = 50
.25
d) X = 85.14, Y = 30
.43
e) X =
90.1
, Y =
40.2
I know it's E but how do you get it
Explanation / Answer
Below is how location of the new warehouse can be found out based on Center of Gravity -
X = [(400*92)+(150*85)+(100*90)]/(400+150+100) = 90.1
Y = [(400*42)+(150*39)+(100*35)]/(400+150+100) = 40.2