There are $9$ assembly tasks for a product. The task times,predecessor relationships and workstation assignments are given inthe following table.

Workstation Task Time $($min$.)$ Predecessors

$1$ a

b

c

d

$2$

$7$

$5$

$2$

$-$

a

$-$

$-$

$2$ e

f

$15$

$7$

c$,$d

a$,$ e

$3$ g

h

i

$6$

$4$

$9$

$-$

b$,$g

a

The cycle time for this product is:

A$)16$ minutes.

B$)19$ minutes.

C$)22$ minutes.

D$)57$ minutes.

E$)$ none of the above choices is correct.