The following is a table of activities associated with a pro

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 Duration (weeks) Precedes A (start) B, C F (end) This exercise contains only parts b, c, and d. b) The activities on the critical path are c) The total project completion time for Rafay Ishfaq\'s software firm is 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)

Solution

The precedence diagram as follows :

                                                                                                                A

                                                          B

                                                              C

                                                           E

                                                                                                     F

The possible paths and their corresponding durations a follows :

A-B-E-F = 2 + 3 + 5 + 3 weeks = 13 weeks

A-C-F = 2 + 9 + 3 = 14 weeks

Since A-C-F has the longest duration, it forms the critical path

Since duration of the critical path is same as project completion time , we can concluded that project completion time is 14 weeks

THE ACTIVITIES ON THE CRITICAL PATH ARE : A-C-F

TOTAL PROJECT COMPLETION TIME FOR RAFAY ISHFAQ’S SOFTWARE FIRM IS 14 WEEKS

It is to be noted that slack for all activities on the critical path will be ZERO

Thus , Slack for activity A,C and F will be ZERO

Slack for activities B,E = Duration of A-B-E-F   - Duration of A-C-F = 14 – 13 = 1 week

ACTIVITY

SLACK ( WEEK)

A

0

B

1

C

0

E

1

F

0

A
B	C
E
F