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

$11$

minus

B

$14$

A

C

$7$

A

D

$4$

$$B$,$ C

E

$20$

D

$$Amelio$\text{'}$s goal is to produce $175$ PDAs per hour.

Part $2$

$$a$)$ The cycle time for the production of a PDA$=$

$$

$20\mathrm{.}57$ seconds $($round your response to two decimal$$ places$).$

Part $3$

$$b$)$ The theoretical minimum number of workstations that Amelio can achieve in this assembly lineequals

$$

enter your response here $($round your response up to the next whole$$ number$).\backslash$