$\backslash$table$[[$Potential site $($i$),$District $($j$)],[1,2,3,4,5,6,7,8],[1,2\mathrm{.}1,1\mathrm{.}7,2\mathrm{.}8,0\mathrm{.}3,0\mathrm{.}8,2\mathrm{.}2,1\mathrm{.}8,0\mathrm{.}7],[2,1\mathrm{.}5,2\mathrm{.}2,3\mathrm{.}1,2\mathrm{.}2,0\mathrm{.}2,1\mathrm{.}9,2\mathrm{.}3,1\mathrm{.}3],[3,0\mathrm{.}9,1\mathrm{.}6,2\mathrm{.}3,0\mathrm{.}3,1\mathrm{.}7,1\mathrm{.}6,0\mathrm{.}9,2\mathrm{.}7],[4,1\mathrm{.}8,3\mathrm{.}1,2\mathrm{.}7,2\mathrm{.}6,3\mathrm{.}1,0\mathrm{.}6,0\mathrm{.}2,0\mathrm{.}7],[5,0\mathrm{.}1,2\mathrm{.}5,1\mathrm{.}8,3\mathrm{.}1,0\mathrm{.}4,1\mathrm{.}2,0\mathrm{.}7,1\mathrm{.}1],[6,0\mathrm{.}5,1\mathrm{.}4,3\mathrm{.}1,0\mathrm{.}5,0\mathrm{.}2,1\mathrm{.}5,2\mathrm{.}2,0\mathrm{.}8],[x$ ij$,1,2,3,4,5,6,7,8],[1,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,0,0],[3,0,0,0,0,0,0,0,0],[4,0,0,0,0,0,0,0,0],[5,1,0,1,0,0,1,1,0],[6,0,1,0,1,1,0,0,1],[$sum$\_$xij,$1,1,1,1,1,1,1,1],[,1,1,1,1,1,1,1,1]]$

Problem $3$: The united ban problem was explained in lecture $5.$

$\backslash$table$[[$District $($i$),],[$Potential site $($i$),$I,$2,3,4,5,6,7,8],[I,2\mathrm{.}1,1\mathrm{.}7,2\mathrm{.}8,0\mathrm{.}3,0\mathrm{.}8,2\mathrm{.}2,1\mathrm{.}8,0\mathrm{.}7],[2,1\mathrm{.}5,2\mathrm{.}2,3\mathrm{.}1,2\mathrm{.}2,0\mathrm{.}2,1\mathrm{.}9,2\mathrm{.}3,1\mathrm{.}3],[3,0\mathrm{.}9,1\mathrm{.}6,2\mathrm{.}3,0\mathrm{.}3,1\mathrm{.}7,1\mathrm{.}6,0\mathrm{.}9,2\mathrm{.}7],[4,1\mathrm{.}8,3\mathrm{.}1,2\mathrm{.}7,2\mathrm{.}6,3\mathrm{.}1,0\mathrm{.}6,0\mathrm{.}2,0\mathrm{.}7],[5,0\mathrm{.}1,2\mathrm{.}5,1\mathrm{.}8,3\mathrm{.}1,0\mathrm{.}4,1\mathrm{.}2,0\mathrm{.}7,1\mathrm{.}1],[6,0\mathrm{.}5,1\mathrm{.}4,3\mathrm{.}1,0\mathrm{.}5,0\mathrm{.}2,1\mathrm{.}5,2\mathrm{.}2,0\mathrm{.}8]]$

Solve the problem with the Heuristic procedure for solving the p$-$median problem explained in the lecture. Compare the solution with the optimal solution that is presented in the lecture.

obj. Fun. $6\mathrm{.}70$