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:

$\backslash$table$[[$Task$,\backslash$table$[[$Time$],[($sec$)]],\backslash$table$[[$Immediate$],[$Predecessor$]]],[$A$,11,-],[$B$,15,$A$],[$C$,8,$A$],[$D$,4,$B$,$ C$],[$E$,20,$D$]]$

Amelio's goal is to produce $175$ PDAs per hour.

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

b$)$ The theoretical minimum number of workstations that Amello can achleve in thls assembly line $=($round your response up to the next whole number$).$