$6$ An initial solution has been given to the following workcenter layout problem. Given the flows described and a cost of $$2\mathrm{.}00$ per unit per foot, compute the total cost for the layout. Each location is $100$ feet long and $50$ feet wide as shown on the following figure. Use the centers of departments for distances and measure distance using metropolitan$-$rectilinear distance.

$\backslash$table$[[$DEPARTMENT$,,,,,],[,,$A$,$B$,$C$,$D$],[$DEPARTMENT$,$A$,0,10,25,55],[$B$,,0,10,5,],[$C$,,,0,15,],[$D$,,,,0,]]$