Question

The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations and what activities each must precede: Activity A (start) B с E F(end) Duration (weeks) 3 8 3 4 Precedes B, C F E F 2 This exercise contains only parts b, c, and d. b) The activities on the critical path are A-B-F c) The total project completion time for Rafay Ishfaq's software firm is 13 weeks. (Enter your response as a whole number.) d) Determine the slack time for each of the activities. (Enter your responses as whole numbers.) Activity Slack Time (weeks) A

Answer 1

ANSWER 1:

The activities on the critical path are A - B - F

ANSWER 2:

The total project completion time is 13 weeks.

ANSWER 3:

The slack time for each activity is:

A - 0

B - 0

C - 1

E - 1

F - 0

(Calculations are provided below)

11,1] 0,0] @ B8) (3,13) AB) 237 F) C (②) (4) 6,7)

The above network diagram shows the activities along with their duration, early start time, and latest finish time. The nodes have been numbered for better understanding. The numbers writtn above each node n the form of (a, b) denote the early start time (here, denoted by 'a') and late finish time (here, denoted by 'b'). For example, (6, 7) is written above node 3. Here, '6' denotes early start time and '7' denotes late finish time. The early strat time and late finish time have been computed as per the forward pass and backward pass techniques.

Activity	Start Node	End Node	Duration	Early Start	Late finish	Early Finish	Late start	Slack
A	1	2	3	0	3	3	0	0
B	2	4	8	3	11	11	3	0
C	2	3	3	3	7	6	4	1
E	3	4	4	6	11	10	7	1
F	4	5	2	11	13	13	11	0

The formulas used for the above calculations:

1. Early Finish = Early Start + Duration

For example, for Activity A, Early Finish = 0 + 3 = 3

2. Late Start = Late Finish - Duration

For example, for Activity  B, Late Start = 11 - 8 = 3

3. Slack = Late Start - Early Start

For example, for Activity C, Slack = 4 - 3 = 1

Similarly, the rest have been computed.

CRITICAL PATH:

The activities which have zero slack are critical activities. The critical activities make up the critical path. Thus, the critical path for this case is:

A - B - F

The total project completion time is computed by adding the duration of the critical activities. Thus the total project completion time:

= 3 + 8 + 2

= 13 weeks

The total project completion time is 13 weeks.