Geico has decided to process auto claims using an assembly line. $$Information on the tasks required to process an auto claim are as follows:

$$

Task

Immediate

Predecessor

Task

Time $($seconds$)$

A

none

$9$

B

A

$9$

C

A

$9$

D

A

$6$

E

B

$3$

F

C$,$D

$9$

G

F

$9$

H

E

$9$

I

H$,$G

$3$

J

H

$7$

K

I

$6$

L

J

$4$

The number of auto claims which arrive for processing is $360$ units$/$hour$.$

Design an assembly line that maximizes throughput with the fewest possible number of workstations. $$

What is the minimum number of workstations required to maximize throughput?