Four possible locations are available at coordinate L$1(4,6),$ L$2(5,2),$ L$3(10,4),$ L$4(9,6),$ for

three new facilities $($NFs$)$ serving five existing facilities $($EFs$)$ at coordinates P$1(3,5),$ P$2(6,4)$

P$3(5,9),$ P$4(8,3),$ P$5(9,4).$ The flow between existing facilities and new machines is given in

matrix W$1.$ Place the three machines at the appropriate locations.