$\backslash$table$[[\backslash$table$[[$Start$],[$location$],[($i$)]],\backslash$table$[[$End$],[$location$],[($j$)]],\backslash$table$[[$Movement$],[$cost$],[$per vehicle$]],\backslash$table$[[$Flow $($x$\_($ij$)$:$\}],[$number of$],[$vehicles $)]],$Location,Inflow,Outflow,LHS$,$Sign,$\backslash$table$[[$RHS$],[($non$-],[$negative$)]]],[1,5,$$$20,0,1,5,0,5,>=,5],[2,4,$$$30,2,2,5,2,3,>=,3],[3,2,$$$27,5,6,4,0,4,>=,4],[4,1,$$$$$$18,4,,,,,,],[6,3,$$$22,0,,,,,,],[$Total cost$,$$$422,,,,,,,]]$ A logistics company maintains delivery vehicles at its six operational centres. The following network shows the locations of the operational centres as nodes and the route between two locations as arcs. In the network, a positive number near a node indicates an excess number of vehicles available for dispatch. Nodes with a negative number represent locations requiring delivery vehicles, and the requirement is the absolute value of the negative number. The cost to move a vehicle between two locations depends on the route distance and is indicated by the dollar value near the arc.