Amelio Rodriguez Computing wants to establish an assembly line for producing a new$$ product, the Personal Digital Assistant$($PDA$).$ The$$ tasks, task$$ times, and immediate predecessors for the tasks are as$$ follows:

$$

Task

Time

$($sec$)$

Immediate Predecessor

A

$12$

$$

B

$14$

A

C

$8$

A

D

$5$

$$B$,$ C

E

$18$

D

$$Amelio$\text{'}$s goal is to produce $180$ PDAs per hour.

Part $2$

$$a$)$ The cycle time for the production of a PDA$=$ enter your response here seconds $($round your response to two decimal$$ places$).$