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

$10$

$8$

B

$3$

$4$

C

$6$

$2$

D

$12$

$7$

E

$5$

$1$

F

$14$

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

Scheduled Order

Job

$1$

$$

E

A

D

C

F

B

Part $2$

$2$

$$

A

E

D

F

B

C

Part $3$

$3$

$$

C

D

B

A

F

E

Part $4$

$4$

$$

D

F

B

A

E

C

Part $5$

$5$

$$

A

C

D

F

B

E

Part $6$

$6$

$$

E

A

F

B

C

D

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$).$