Six jobs are to be processed through a$$ two$-$step operation. The first operation involves$$ sanding, and the second involves painting. Processing times are as$$ follows:

$$

Job

Operation $1($hours$)$

Operation $2($hours$)$

A

$1$

$3$

B

$10$

$12$

C

$8$

$7$

D

$11$

$9$

E

$4$

$6$

F

$2$

$13$ Using$$ Johnson's rule for$2-$machine scheduling, the sequence$$ is:

Scheduled Order

Job

$1$

$$

A

B

C

F

D

E

Part $2$

$2$

$$

E

C

A

B

F

D

Part $3$

$3$

$$

A

D

E

C

F

B

Part $4$

$4$

$$

B

D

E

C

F

A

Part $5$

$5$

$$

F

D

A

B

E

C

Part $6$

$6$

$$

E

A

D

B

C

F

Part $7$

For the schedule developed using$$ Johnson's rule, the total length of time taken to complete the six jobs$($including the $2$nd$$ operation$)=$ enter your response here hours $($enter your response as a whole$$ number$).$