ABI-301

Management Science-2

Final Period Practical Problems

QUESTION#1

When Fox Commercial opened a new office, they defined a work as project with the following activities and predecessor(s).

Activity / Imm. Predecessor / Time
Weeks
A / -- / 5
B / -- / 3
C / A / 3
D / A / 2
E / D / 4
F / B / 7
G / C,E,F / 2

i.  Draw the project network using AOA & AON?

ii.  How many paths in the network?

iii.  What is the critical path?

iv.  Calculate the Slack of each activity?

v.  If Activity F delayed by 4 weeks what will be the effect of project completion time?

vi.  If Activity C delayed by 3 weeks what will be the effect of project completion time?

QUESTION#2

The following table contains information related to the major activities of a research project. Use the information to do the following:-

a)  Draw a precedence diagram using AOA and AON.

b)  Find the Critical Path.

c)  Determine the SLACK of each activity.

Activity / Imm. Predecessor / Time Weeks
A / -- / 5
C / A / 8
D / C / 2
B / A / 7
E / -- / 3
F / E / 6
I / B,D / 10
M / F,I / 8
G / -- / 1
H / G / 2
K / H / 17
H / K,M

QUESTION#3

Bill Fennema, President of Fennema Construction, has developed the tasks, durations, and predecessor Relationships in the following table for building new motels. Draw the network and answer the questions that follow.

i.  Draw the project network using AOA & AON?

ii.  Calculate the expected time and variance of each activity?

iii.  Based on the calculation of estimated times, what is the critical path?

iv.  What is the estimated time of the critical path?

v.  What is the activity variance along the critical path?

vi.  Calculate the Slack of each activity?

QUESTION#4

The following table shows the dependences and estimated duration of nine activities in the project.

Activity / Imm. Predecessor / Time Weeks
Optimistic Most Likely Pessimistic
A / -- / 2 3 10
B / -- / 4 5 12
C / -- / 8 10 12
D / A,G / 4 4 4
E / B / 3 6 15
F / B / 2 5 8
G / B / 6 6 6
H / C,F / 5 7 15
I / D,E / 6 8 10

1)  Draw the project network using AOA & AON?

2)  How many paths in the network?

3)  What is the critical path?

4)  Calculate the Slack of each activity?

5)  If Activity E delayed by 6 weeks what will be the effect of project completion time?

6)  If Activity G delayed by 1 week what will be the effect of project completion time?

QUESTION#5

From the following network diagram answer the following questions:

1)  The Critical path in the above network diagram is

2)  The time required to finish this project as early as possible is

3)  The slack of activity C and F are ------and ------respectively.

4)  The Early Start ES for Activity H is ------week(s)

5)  In order to get second Critical Path activity E should be delayed by ------weeks

6)  The Early start and late finish for activity J are ------and ------respectively.

7)  The Slack for activity G is

8)  Build the predeceasing tables of the above network.

QUESTION#6

From the following network diagram answer the following questions:

1)  The Critical path in the above network diagram is

2)  The time required to finish this project as early as possible is

3)  The slack of activity B and D are ------and ------respectively.

4)  The Early Start ES for Activity E is ------week(s)

5)  In order to get second Critical Path activity F should be delayed by ------weeks

6)  Build the predeceasing tables of the above network.

======GOOD LUCK ======