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Assignement 1: Exercise 1

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TUNIS BUSINESS SCHOOL ‫جامعة تونس‬

UNIVERSITY OF TUNIS ‫المعهد العالي لألعمال بتونس‬

Assignement 1
Exercise 1
Schedule the following activities using CPM

Activity Immediate Predecessor Time (Weeks)


A - 1
B A 4
C A 3
D B 2
E C,D 5
F D 2
G F 2
H E,G 3

1. Draw the network


2. What is the critical path?
3. How many weeks will it take to complete the project?
4. Which activities have slack, and how much?

Exercise 2
A project has been defined to contain the list of activities, in the following
table, along with their required times for completion:

1. Draw the critical path diagram.


2. Show the early start, early finish, late start and late finish times
3. Show the critical path
4. What would be happen if activity F was revised to take four days instead
of two?

Production and operations management 1


(BA305) – 2021/2022
TUNIS BUSINESS SCHOOL ‫جامعة تونس‬
UNIVERSITY OF TUNIS ‫المعهد العالي لألعمال بتونس‬

Activity Time(Days) Immediate


Predecessors
A 1 -
B 4 A
C 3 A
D 7 A
E 6 B
F 2 C,D
G 7 E,F
H 9 D
I 4 G,H

Exercise 3
Here are the precedence requirements, normal and crash activity times, and
normal and crash costs for a construction project
Activity Preceding Required Time (Weeks) Cost
Activities Normal Crash Normal Crash
A 4 2 $10 000 $11 000
B A 3 2 $6 000 $9 000
C A 2 1 $4 000 $6 000
D B 5 3 $14 000 $18 000
E B, C 1 1 $9 000 $9 000
F C 3 2 $7 000 $8 000
G E, F 4 2 $13 000 $25 000
H D, E 4 1 $11 000 $18 000
I H, G 6 5 $20 000 $29 000
1. What are the critical path and the estimated completion time?
2. To shorten the project by three weeks, whish tasks should be shortened
and what would the final total project cost be?

Production and operations management 2


(BA305) – 2021/2022

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