The Yellow Spin Company uses ten machines in their production. The current locations of these machines are shown in the table below. Furthermore, the pallet load movements per day between the new machine and the ith existing machine, W. are given in the same table. The company is planning to buy new machine and would like to determine its appropriate location with respect to the existing machines.

 

Find the optimal location of the new machine that minimizes total annual cost.

What is the total rectilinear distance covered to and from the new machine and every existing machines?

Machine 1 2 3 4 5 6 7 8 9 10 X 8 18 14 -2 8 18 11 7 4 15 Y 6 10 13 20 16 12 15 9 7 W 150 120 230 170 130 160 250 180 220 170