$.$ sue helms appliances wants to establish an assembly line to manufacture its new product, the micro popcorn popper. The goal is to produce five poppers per hour. The tasks, task times and immediate predecessors for producing one micro popcorn popper are as follows:

TASK TIME$($MIN$)$ IMMEDIATE PREDECESSORS

A $10$

B $12$ A

C $8$ A$,$ B

D $6$ B$,$ C

E $6$ C

F $6$ D$,$ E

i$)$ What is the theoretical minimum for the smallest number of workstations that helms can achieve in this assembly line?

ii$)$ Graph the assembly line and assign workers to workstations. Can you assign them to theoretical minimum?

iii$)$ What ios the efficiency of your assignment?