## Critical path analysis - numerical questions

#### Question 1

Construct the network for the following project:

Activities:

A is the first activity in the project
B starts when A is complete
C follows B
D starts at the same time as B
E follows all other jobs.

Number the nodes, starting at one.

Using the following activity timings, add the EST and LFT for each node and determine the critical path for this project.

Activity A B C D E
Duration (days) 2 5 3 2 6

#### Question 2

Draw a network using the following information:

Activities:

A is the start of the project
B and E can start when A is complete
C follows B
F and G can start when E is complete
D cannot start before C and F are complete and must finish before J can start
J also depends on the completion of G before it can start.

• Number the nodes, starting at one.
• Using the activity timings below, add the EST and LFT for each node.
• Calculate the free and total floats for the project and identify the critical path through the diagram.
Activity A B C D E F G J
Duration (days) 1 3 3 6 4 3 5 2

#### Question 3

Not all networks have the alphabetical order you may expect - you will have to make the logic relationships work by moving some of the activities around!

Construct a network diagram from the following information:

Activities:

Activity Precedes Activity
A B
A C
A D
B E
C G
D & E F
F & H K
G H
G J
J L
K & L M

• Number the nodes, starting at one.
• Using the activity timings below, add the EST and LFT for each node.
• Calculate the free and total floats for the project and identify the critical path through the diagram.
Activity A B C D E F G H J K L M
Duration (days) 2 6 10 11 9 6 8 5 4 6 4 3