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

$8$

A

D

$4$

$$B$,$ C

E

$20$

D

$$Amelio$\text{'}$s goal is to produce $170$ 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$).$

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$).$

Part $4$

$$c$)$ For one to assign the tasks to the actual workstations and be able to use the$$ "theoretical minimum"$$ number, the activity assignment should$$ be:

Part $5$Part $6$

Workstation$$ #

Tasks Assigned to Workstation

$1$

A

$$

C

E

B

D

$2$

B

$$

B

C

E

D

$3$

$$

E

C

B

D

Part $7$

Were you able to assign all the tasks to the theoretical minimum number of$$ workstations?

$$

No

Yes