topic badge
Middle Years

14.07 Project networks

Worksheet
Project networks
1

Consider the following network:

a

Which activities are dependencies for activity C?

b

What are the initial activities?

c

What are the final activities?

d

Which activities have no dependencies?

2

Consider the following network:

a

Which activities are dependencies for activity D?

b

What are the initial activities?

c

What is the final activity?

d

Which activities have no dependencies?

3

For each of the following networks:

a

Which activities are dependencies for activity E?

b

What are the initial activities?

c

What are the final activities?

d

Which activities have no dependencies?

4

Consider the following network:

a

Which activities are dependencies for activity E?

b

What is the initial activity?

c

What is the final activity?

d

Which activity has no dependencies?

5

Consider the following network:

a

Which activity is a dependency for activity E?

b

What are the initial activities?

c

What are the final activities?

d

Which activities have no dependencies?

6

Consider the following network:

a

Which activity is a dependency for activity F?

b

What is the initial activity?

c

What is the final activity?

d

Which activity has no dependencies?

7

Consider the following network:

a

Which activities are dependencies for activity F?

b

What is the initial activity?

c

What is the final activity?

d

Which activity has no dependencies?

8

Consider the following network:

a

Which activities are dependencies for activity G?

b

What are the initial activities?

c

What is the final activity?

d

Which activities have no dependencies?

9

For each of the following networks, complete an activity table by listing the duration and direct dependencies for each activity. If an activity has no dependencies, write an X.

a
b
c
d
e
f
10

Construct a project network for each of the following activity charts:

a
ActivityDurationDependencies
A1-
B8A
C1A
D3B,C
E9D
b
ActivityDurationDependencies
A7-
B4-
C5-
D5A,B,C
E4D
F7D
c
ActivityDurationDependencies
A1-
B4-
C3A
D7B
E3-
F5C,D
G5F,E
d
ActivityDurationDependencies
A7-
B2-
C3A,B
D7A,B
E1C
F9D
e
ActivityDurationDependencies
A2-
B7-
C3-
D8A,B,C
E4D
F5D
G7E,F
f
ActivityDurationDependencies
A2-
B9A
C4A
D3B,C
E4D
g
ActivityDurationDependencies
A9-
B8-
C3A
D7B
E2-
F4C,D
G8F,E
h
ActivityDurationDependencies
A2-
B8-
C7-
D7A,B,C
E7D
F2D
G8E,F
Applications
11

To assemble a flat-pack desk from a kit requires various activities. These are shown in the following table, together with the number of minutes each activity takes and the order in which some of them must be done:

ActivityDescriptionDuration (minutes)Dependencies
A\text{Assemble the drawer}30-
B\text{Fix the legs to the desktop}15-
C\text{Attach the drawer}15A
D\text{Attach the sides}10B
E\text{Attach the back}5B
F\text{Attach the network sockets}15D, E
G\text{Connect the network wiring}25C, F

Using the provided information, construct a project network.

12

The table shown specifies the task names, duration and dependencies for a project.

Using the provided information, construct a project network.

TaskDurationDependencies
B 2-
D 5 B
F 7-
H 3-
J 4 D, F, H
L 10 D, F, H
N 2 J
P 8 J
Q 7 L
S 5 N, P, Q
13

The table below describes the tasks that are required to build a new personal computer:

ActivityDescriptionTime (hours)
C \text{Select components}2
H \text{Assemble chassis}1
B \text{Build components}4
R \text{Setup cooling system}1
O \text{Install software}4
T \text{System testing}3
D \text{Prepare user documents}2
P \text{Invoice customer}1

The order in which the tasks should be completed is given below:

  1. Selecting components and assemble chassis can start together
  2. Build components can only be done once chassis is assembled, and components are selected
  3. Configure cooling system can be done when build components is complete
  4. Install software can be done when cooling system is installed
  5. System testing can be done when all software is installed
  6. Prepare user documents can be done after build components
  7. Invoice customer can be done after system testing and prepare user documents are complete

Using the provided information, construct a project network.

Sign up to access Worksheet
Get full access to our content with a Mathspace account

What is Mathspace

About Mathspace