Question

1. Create a network diagram and project schedule (illustrated in a Gantt chart) from the following set of tasks. Use the task number, duration, and dependencies of each task given and construct a schedule so that the project is completed in the least number of days possible. Include a management reserve of approximately 10%.

Task	Subject	Duration	Dependencies	Slack (3 pts)
1.0	Project Kickoff	2	none
2.1	Install & Test Database Software	2	1.0
2.2	Configure & Test Database Web API	2	2.1
2.3	Develop & Test Modeling Software	8	1.0
2.4	Develop Reporting Software	5	1.0
3.1	Integration Test: DB API & Model	2	2.2 and 2.3
3.2	Test Reporting Software	2	2.2 and 2.4
4.0	Final Integration/Acceptance Testing	5	3.1 and 3.2
5.0	Closeout	2	4.0

2. Draw the Network Diagram and calculate the early and late schedules

3. What tasks, in order, are on the critical path?

4. Draw the Schedule as a Gantt Chart?

5. What does the graphical representation of the WBS look like for the project?  

Note: only the terminal graph nodes are shown in the tasks above; construct logical section titles where needed!

Answer 1

1)

For sake of simplicity, let us assign alphabetical ID to each task

ID	Task	Subject	Duration	Dependencies	Dependent task ID
A	1.0	Project Kickoff	2	none
B	2.1	Install & Test Database Software	2	1.0	A
C	2.2	Configure & Test Database Web API	2	2.1	B
D	2.3	Develop & Test Modeling Software	8	1.0	A
E	2.4	Develop Reporting Software	5	1.0	A
F	3.1	Integration Test: DB API & Model	2	2.2 and 2.3	C,D
G	3.2	Test Reporting Software	2	2.2 and 2.4	C,E
H	4.0	Final Integration/Acceptance Testing	5	3.1 and 3.2	F,G
I	5.0	Closeout	2	4.0	H

Project completion time = 19 days

Considering 10% management reserve, project completion time = 19*1.1

= 21 days

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2)

Network diagram is as follows:

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3)

List all the paths in the network and their respective length

Length of each path is equal to the sum of activity times on that path

Path	Length
A-D-F-H-I	19
A-B-C-F-H-I	15
A-B-C-G-H-I	15
A-E-G-H-I	16

Critical path is the longest path, which is A-D-F-H-I

Project completion time = 19 days

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4)

Gantt chart is following: