A company is deciding where to locate a new warehouse that will receive shipments from three suppliers: 1,2,and 3.The locations of the suppliers (x_i,y_i) and the annual number of shipments from supplier i (W_i) are provided below: 1 2 3
X₁= 250 x₂= 100 x₃= 500
Y₁= 250 y₂= 400 y₃= 300
W₁= 240 W₂=205 W₃= 300
The coordinates for the new warehouse suggested by the centre of gravity method are

Question

Quizplus · Accepted Answer

The coordinates of the center of gravity are found by using the formula:

Xc = (Σ(WSi * Xi))/Σ(WSi)
Yc = (Σ(WSi * Yi))/Σ(WSi)

Plugging in the values from the table, we get:

Xc = ((240*250) + (205*100) + (300*500)) / (240+205+300) = 309.4
Yc = ((240*250) + (205*400) + (300*300)) / (240+205+300) = 311.4

Therefore, the best choice is B because it matches the calculated coordinates of the center of gravity.

A Company Is Deciding Where to Locate a New Warehouse