$5\mathrm{.}9.$ The Second Best Discount Store is considering rearranging its stockroom to improve customer service. Currently, stock pickers are given customer orders to fill from six warehouse areas. Movement between these areas is noted in the flow matrix below:

$\backslash$table$[[,$A$,$B$,$C$,$D$,$E$,$F$],[$A$,-,1,4,2,0,3],[$B$,0,-,2,0,2,1],[$C$,2,2,-,4,5,2],[$D$,3,0,2,-,0,2],[$E$,1,4,3,1,-,4],[$F$,4,3,1,2,0,-]]$

Using the initial layout below, perform an operations sequence analysis to determine a layout that minimizes total flow between nonadjacent departments. Calculate your flow improvement.