The activities needed for a new project your company is undertaking are listed in the following table.

Activity	Immediate Predecessor(s)
A	----
B	----
C	A,B
D	A
E	B
F	B
G	C
H	D,E,F
I	E
J	G,H
K	H,I

Activity	Activity Time (days)
A	30
B	25
C	26
D	23
E	21
F	28
G	20
H	27
I	22
J	30
K	25

a. Construct the project network diagram using Activity-on-Node (AON) approach.

b. Determine the earliest start (ES) time, earliest finish (EF) time, latest finish (LF) time, and latest start (LS) time for all project activities.

c. Determine slack times for all project activities.

d. Identify the critical path(s) in the project network.

e. How long will it take to complete the entire project?

2). A project network is shown below, with three time estimates (Optimistic Time-Most Likely Time Pessimistic Time (in months)) for each activity in the network.

a. Compute the expected time for each activity in the project network.

b. Identify and list all possible paths in the project network. Compute the expected duration for each path in the project network.

c. Identify the critical path. What is the expected project completion time?

d. Compute the variance of each activity on the critical path.

e. Determine the project variance and project standard deviation. Use the PERT analysis results in (c) and (e) to answer questions (f), (g), (h), and (i) below:

f. What is the probability that the project can be completed within 26 months of its start?

g. What is the probability that the project can be completed within 15 months of its start?

h. Determine the project deadline that gives this project a 64% chance of on-time completion.

i. Determine the project deadline that gives this project a 9% chance of on-time completion.