Please give me the correct solution because the solution in the app's review is incorrect. Also, explain the steps sequentially for each of the two questions.

Five machines are arranged in a $"$U$"$ configuration as shown in the layout below. The material handling system employed is a bidirectional conveyor system. Determine the best machine arrangement given the product routing information and production rates provided below.

Solve the above problem assuming unidirectional system from A to E$.$

$\backslash$table$[[$Product$,\backslash$table$[[$Machine$],[$sequence$]],\backslash$table$[[$Production$],[$rate$]]],[1,$B$-$E$-$A$-$C$,100],[2,$C$-$E$-$D$,250],[3,$B$-$E$-$C$,400],[4,$A$-$C$-$E$,120],[5,$B$-$A$-$C$-$D$,150]]$

$\backslash$table$[[$Distance matrix$],[$From$/$To$,$A$,$B$,$C$,$D$,$E$],[$A$,,20,70,120,140],[$B$,,,50,100,120],[$C$,,,,50,70],[$D$,,,,,20]]$

$1$