# Week 3 Aib Problems

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• Published : November 4, 2012

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Before starting this homework assignment, please review the AIB simulation in this week’s Lecture. This simulation will provide you with an understanding of how to create a network diagram, and how to do a forward and backward pass to determine the ES, LS, EF, LF and slack (float). You will also learn how to determine the duration of the project, and the critical path.

In this homework assignment, you will be working through four Activity In Box (AIB) problems. Using the activity, duration, and predecessor information given in this document, you should first construct a network for each "project." [Each problem will have its own network.]

Once you have constructed the network, please answer the corresponding questions. Once you answer the questions, please post your responses to the Drop Box. You do not have to submit your network diagrams, the answers to the questions are sufficient.

Once the homework assignment has been graded, the solution key will be made available. The network diagrams will be provided, along with the answers to the questions.

Good Luck!

Problem 1

The following data were obtained from a project to create a new portable electronic.

ActivityDurationPredecessors
A5 Days---
B6 Days---
C8 Days---
D4 DaysA, B
E3 DaysC
F5 DaysD
G5 DaysE, F
H9 DaysD
I12 DaysG

Step 1: Construct a network diagram for the project.
Step 2: Answer the following questions: (15 points total)

a)What is the Scheduled Completion of the Project? (5 points) 32 Days

b)What is the Critical Path of the Project? (5 points)
The most critical path is B – D – F – G – I: 32 Days

c)What is the ES for Activity D? (1 points)
Day 6

d)What is the LS for Activity G? (1 points)
Day 15

e)What is the EF for Activity B? (1 points)
Day 6

f)What is the LF for Activity H? (1 points)
Day 32

g)What is the float for Activity I? (1 points)
There is no float period for activity I

Problem 2

The following data were obtained from a project to build a pressure vessel:

ActivityDurationPredecessors
A6 weeks---
B6 weeks---
C5 weeksB
D4 weeksA, C
E5 weeksB
F7 weeksD, E, G
G4 weeksB
H8 weeksF
I5 weeksG
J3 weekI

Step 1: Construct a network diagram for the project.
Step 2: Answer the following questions: (15 points total)

a)Calculate the scheduled completion time. (5 points)
30 Weeks

b)Identify the critical path (6 points)
The most critical path is B – C – D – F – H: 30 Weeks

c)What is the slack time (float) for activity A? (1 points)
5 Weeks slack time for activity A

d)What is the slack time (float) for activity D? (1 points)
0 weeks slack time for activity D

e) What is the slack time (float) for activity E? (1 points)
4 weeks slack time for activity E

e)What is the slack time (float) for activity G? (1 points)
5 weeks slack time for activity G

Problem 3

The following data were obtained from a project to design a new software package:

ActivityDurationPredecessors
A5 Days---
B8 Days---
C6 DaysA
D4 DaysC, B
E5 DaysA
F4 DaysD, E, G
G4 DaysB, C
H3 DayG

Step 1: Construct a network diagram for the project.
Step 2: Answer the following questions: (15 points total)

a)Calculate the scheduled completion time. (5 points)
19 Days

b)Identify the critical path(s) (6 points)
There are 2 critical paths
Critical path A – C – G – F: 19 Days
And
Critical path A – C – D – F: 19 Days

c)What is the slack time (float) for activity B? (1 points)

3 days slack time for activity B

d)What is the slack time (float) for activity D? (1 points)

0 Days slack time for activity D

e) What is the slack time (float) for activity E? (1 points)

5 Days slack time for activity E

f) What is the slack time (float) for...