Question

An engineering group needs to set up an assembly line to produce a new product. The following table describes the relationships between the activities, their predecessors, and the estimated activity times (in weeks) for this project. (10 points)

Activity	Immediate Predecessors)	Optimistic (Weeks)	Most Likely (Weeks)	Pessimistic (Weeks)
A	---	4	7	10
B	A	2	8	20
C	A	8	12	16
D	B	1	2	3
E	D, C	6	8	22
F	C	2	3	4
G	F	2	2	2
H	F	6	8	10
I	E, G, H	4	8	12
J	I	1	2	3

1. Using this data, develop a network for this project.
2. Identify the critical path and determine the expected time of completion of the project.
3. Prepare the detailed activity schedule for this project (i.e., provide a table showing EST, EFT, LST, LFT, Slack, critical path?).
4. Determine the probability that the project will be completed in:

1. Less than 42 weeks
2. Greater than 35 weeks
3. Between 42 to 44 weeks
4. Greater than 40 weeks

Answer 1