Example $1$: Assembly Line Balancing

Given in the following table are the tasks necessary for the assembly of Fine Cedar Chests, the length of time needed to perform each task, and the operations that must be completed prior to subsequent operations.

$\backslash$table$[[$Element$,$Precedence,Time $($min$)],[$A$,$None,$2],[$B$,$A$,4],[$C$,$B$,5],[$D$,$None,$5],[$E$,$D$,3],[$F$,$None,$1],[$G$,$F$,2],[$H$,$C$,$ E$,$ G$,4]]$

a$)$ Calculate the cycle time necessary to complete $300$ cedar chests in a $35-$hour week.

b$)$ What is the minimum number of workstations that can be used on the assembly line and still reach the production quota? Balance the line and calculate line's efficiency.