An assembly plant for Blood Pressure$$ RX$,$ a portable blood pressure$$ device, has $400$ minutes available daily in the plant for the$$ device, and the average demand is $80$ units per day. Final assembly requires $6$ separate tasks. Information concerning these tasks is given in the following$$ table:

$$

Task

Performance Time$($minutes$)$

Task Must Follow Task Listed Below

A

$1$

$-$

B

$1$

$-$

C

$4$

$$A$,$ B

D

$1$

C

E

$2$

D

F

$4$

E

Part $2$

$$b$)$ The cycle time for this operation is

$$

$5$minutes$/$unit $($enter your response as a whole$$ number$).$

Part $3$

$$c$)$ The theoretical minimum number of work stations is

$$

$3$ stations $($enter your response as a whole$$ number$).$

Part $4$

$$a$)$ &$$ d$)$ Choose the correct precedence diagram of this operation and assign tasks to work stations.