There are five jobs at a factory. Each job must be processed through two work centers $($drill machine and lathe machine$).$ What sequence of the jobs will give you the fastest way to process the series of jobs?

The time for processing each job follows:

$\backslash$table$[[$Job$,$Work center $1($Drill$),$Work center $2($Lathe$)],[$A$,5,2],[$B$,3,6],[$C$,8,4],[$D$,10,7],[$E$,7,12]]$

B CEDA

ACDEB

none of the answers is correct

BEDCA