The manager has been asked to balance an assembly line to achieve an output of $240$ units per eight hour day. Task times and precedence is as follows:

Tasks a b c d e f g Follower b c f e g g end

a$)$ Draw precedence diagram and find the cycle time $(2$ minutes$)$

b$)$ Determine theoretical number of work stations needed $(3).$

c$)$ Assign tasks to stations and break ties using these rules: First, greatest followers;

then longest processing time. If tie still persists, choose arbitrarily.