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 serving five existing facilities 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$1.$

What type of problem

Place the three machines at the appropriate locations.

$\backslash (\backslash$mathrm$\{$W$\}=\backslash$mid $\backslash$begin$\{$array$\}\{$llllll$\}$ & $\backslash$mathrm$\{$EF$\}1$ & $\backslash$mathrm$\{$EF$\}2$ & $\backslash$mathrm$\{$EF$\}3$ & $\backslash$mathrm$\{$EF$\}4$ & $\backslash$mathrm$\{$EF$\}5\backslash \backslash \backslash$

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