Eight jobs are to be processed through a two$-$machine flow shop. The first operation involves

production and the second involves painting. Determine a sequence that will minimize the total

completion time for this group of jobs. Processing times are as follows:

Processing Time $($hours$)$

Job $|$ Work Center $1|$ Work Center $2$

A $510$

B $78$

C $32$

D $1018$

E $139$

F $116$

G $1517$

H $41$

$($