Question

Question 03.

Using the information in the table below, assuming that the project team will work a standard working week (5 working days in a week) and that all tasks will start as soon as possible:

Task	Description	Duration (Working days)	Predecessor/s
A	Requirement Analysis	5
B	Systems Design	15	A
C	Programming	25	B
D	telecoms	15	B
E	Hardware installation	30	B
F	Integration	10	C, D
G	System Testing	10	E, F
H	Training/Support	5	G
I	Handover and Go-Live	5	H

Determine the critical path of the project.

Calculate the planned duration of the project in weeks

Answer 1

Solution:

From the given information, network diagram can be drawn as below:

From the network diagram, ES, EF, LS, LF are computed as;

ES - Earliest Start

EF - Earliest Finish

LS - Latest Start

LF - Latest Finish

The computed values are summarized in the table below:

(a) In order to determine critical path, slack of each activity needs to be calculated.

Slack = (LS - ES) or (LF - EF)

Critical Path = Same ES and LS or same EF and LF or Slack = 0

From the above table,

Activities with 0 Slack are: A, B, C, F, G, H, I

Critical Path will be comprised of activities with 0 slack. Therefore,

Critical Path = A - B - C - F - G - H - I

(b) Project duration = Earliest Finish time of the last activity i.e. Activity I

Project duration = 75 working days