A company is going to construct a new warehouse served by suppliers A, B, and C.

Question

A company is going to construct a new warehouse served by suppliers A, B, and C. The location of the three suppliers and the annual number of truck carriers that will serve the warehouse are given below. Determine the coordinates of best site using the center-of-gravity method.

                                                                                    Site A               Site B               Site C

                                                            X-coord.          150                300                400

                                                            Y-coord.          250                100                500

                                                            Volume 1000              4000              8000

Explanation / Answer

The coordinates of best site using the center-of-gravity method is (350, 358)

X = {(150*1000) + (300*4000) + (400*8000)} / (1000 + 4000 + 8000)

= (1,50,000 + 12,00,000 + 32,00,000) / 13,000

= 45,50,000 / 13,000 = 350

Y = ({250*1000) + (100*4000) + (500*8000)} / (1000 + 4000 + 8000)

= (2,50,000 + 4,00,000 + 40,00,000) / 13,000

= 46,50,000 / 13,000 = 357.69 = 358

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