The$$ assembly$-$line activities are given as follows for the manufacturing of a$$ product:

$$

Task

Performance

Time$($mins$)$

Predecessors

Task

Performance

Time$($mins$)$

Predecessors

A

$6$

$$

E

$6$

C

B

$3$

A

F

$2$

C

C

$5$

B

G

$4$

$$D$,$ E$,$ F

D

$3$

B

H

$2$

G

Part $2$

For a given $7-$minute cycle time after$$ allowances, the theoretical minimum number of workstations$=$ enter your response here $($round your response to the immediate higher whole$$ number$).$