4. RGV Company just signed a contract to deliver products to three locations, an

Question

4. RGV Company just signed a contract to deliver products to three locations, and it is trying to decide where to put its new central warehouse. The three delivery locations are A, B, and C. The x, y coordinates for the delivery locations are as follows:

            Location    x coordinate    y coordinate

            A                     90                    40

            B                      85                    35

            C                      80                    30

The total quantity to be delivered to each destination is: 400 to A, 150 to B, and 100 to C. Calculate the location (x and y coordinates) of the new warehouse using the Center of Gravity approach.

Explanation / Answer

d1x = 90

d2x = 85

d3x = 80

d1y = 40

d2y = 35

d3y = 30

v1 = 400

v2 = 150

v3 = 100

The location of the new warehouse is:
Cx =(90 X 400 + 85 X 150 + 80 X 100)/(400 + 150 + 100) = 56750/650 = 87.3077

Cy = (40 X 400 + 35 X 150 + 30 X 100)/(400 + 150 + 100) = 24240/650 = 37.3077

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