$$a$-$b$)$ Using$$ Johnson's rule for$2-$machine scheduling, and breaking any ties by scheduling jobs in alphabetical order$,$ the sequence$$ is:

Part $2$Part $3$Part $4$Part $5$Part $6$Part $7$

Scheduled Order

Job

$1$

$$

$2$

$$

$3$

$$

X

Y

W

T

U

V

Z

$4$

$$

X

T

Z

Y

U

V

W

$5$

$$

T

V

Z

X

Y

W

U

$6$

$$

V

U

T

X

W

Y

Z

$7$

$$

T

Y

V

W

U

Z

X

Part $8$

$$c$)$ For the schedule developed using$$ Johnson's rule, the total length of time taken to complete the seven printing and binding jobs$($including binding$)=$

$$

enter your response here hours $($enter your response as a whole$$ number$).$

Part $9$

$$d$)$ The idle time in the binding shop based on the sequence developed using$$ Johnson's rule$=$

$$

enter your response here hours $($enter your response as a whole$$ number$).$

Part $10$

$$e$)$ By splitting Job Z in$$ half, the binding$$ machine's idle time would be cut by

$$

enter your response here $$hour$($s$)($enter your response as a whole$$ number$).$