Levy Furniture, a furniture manufacturer is planning a factory expansion project. The activities required, their immediate predecessors, and the optimistic, most likely, and pessimistic estimates of their times (in days) are provided below. The project network is also provided.
Activity Description Immediate Predecessors Optimistic Time (days) Most Likely Time (days) Pessimistic Time (days)
A Develop initial plans -- 2 2.5 6
B Secure financing A 1 2 3
C Develop final plans A 2 3 10
D Hire contractor C 1 3 5
E Secure permits C 1 4 7
F Construct addition B,D,E 3 11 13
G Order equipment A 6 11 22
H Install equipment F,G 1 3 5
a) Construct the project network.
b) Identify the critical path and provide the project completion time.
c) Provide the slack times for all activities and all paths. For a path slack time, compute this compared to the critical path and some activities on this path might have a zero slack.
d) Looking at only the critical path, find the probability that the store will take more than 23 working days to open.
e) What is the probability of completing path AGH in time for the store to open within 23 working days?