There are four existing facilities which are to be served by a single new facility. The details of the existing facilities are shown in the following table.

Existing facility (i) 1 2 3 4 Coordinates (a„ b;) 15, 10 10, 5 5, 15 20, 10 No. of trips of loads/year (w1) 200 100 300 400 Find the optimum location of the new facility such that the total cost of materials handling is minimized using each of the following methods.

(a) Gravity location method.

(b) Euclidean-Distance location method.

AppendixLO1