1. The following table includes the activities required to assemble an industrial vacuum cleaner. Demand forecasts indicate a need to operate with a takt time of 10 minutes.

Activity	Activity Description	Immediate Predecessors	Time (min)
A	Attach wheels to tub		5
B	Attach motor to lid		1.5
C	Attach battery pack	B	3
D	Attach safety cutoff	C	4
E	Attach filters	B	3
F	Attach lid to tub	A,E	2
G	Assemble attachments		3
H	Function test	D, F, G	3.5
I	Final inspection	H	2
J	Packing	I	2

1. Draw the appropriate precedence diagram for this production line.
2. What is the theoretical minimum number of workstations?
3. Assign tasks to as few workstations as you can and determine how much idle time is present in each cycle. Does your answer match what you obtained in part b? Explain why or why not.
4. Discuss how the balance could be improved to obtain 100% efficiency for the assembly line.