Question

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

1. 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
D A, B
E B
F C, D, E
G D, E
H F
I F, G
J G
The activity times were determined for the project, and were as below.
ACTIVITY ACTIVITY TIME (days)
A 11
B 9
C 7
D 12
E 8
F 9
G 10
H 6
I 7
J 9
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 TimePessimistic Time (in weeks)) 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 40 weeks of its start? g. What is the probability that the project can be completed within 31.5 weeks of its start? h. Determine the project deadline that gives this project a 96% chance of on-time completion. i. Determine the project deadline that gives this project a 13% chance of on-time completion. 0-0-0 10-16-19 11-14-17 4-8-12 9-15-18 0-0-0 Start A B H C End 1-4-10 E 5-10-18 G

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Answer #1

1. Task Predecessor Time (days)ES EF LF LSSlack(LF-EF) 0 9112 11 | 18 23 | 16 11 23 23 11 9 | 17 23 | 15 23 32 32 23 23 33 3323 32 38 3832 33 40 4033 33.0 42 4233 CIA F G |C,D,E |D,E 10 F, G ES, EF calculted from start to end EF ES+cycle time LS, LF calculated from end to start LS-LF- cycle time Slack LF-EF-LS-ES a,b,c are shown in table above d. ADGJ is critical path due to zero slack and highest cycle time e. Total project completion time is 42 days

2. Activity sequence seems to have some issuein the last line. Unable to understand how the activities are related to any other activities. kIndly re-post

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