Find the sequence that minimizes the total elapsed time required to complete the following jobs on machines M$1,$ M $2$ and M $3$ in the order M$1,$ M$2,$ M$3.$

$\backslash$table$[[$TASK$,$A$,$B$,$C$,$D$,$E$,$F$],[$M$1,8,3,7,2,5,1],[$M$2,3,4,5,2,1,6],[$M$3,8,7,6,9,10,9]]$