Question

Problem 5-7 The following activities are part of a project to be scheduled using CPM: ACTIVITY...

Problem 5-7

The following activities are part of a project to be scheduled using CPM:

 ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS) A — 7 B A 6 C A 2 D C 4 E B D 3 F D 4 G E F 6

b. What is the critical path?

 A-C-D-F-G A-C-D-E-G A-B-E-G A-B-D-F-G

c. How many weeks will it take to complete the project?

Number of weeks

d. How much slack does activity B have?

Slack of activity B             week(s)

 step 1 find early start, and early finish from the start of the project for each activity step 2 Find Maximum EF and keep it as the LF of last activities. Max of EF's is 23
 Activity Duration, D Early start, ES=Max of early finish of preceding activities Early finish, EF = ES + D Late finish, LF= Min of LS of successor activities Late start, LS= LF - D Total slack= LF-EF Critical activity, activities with 0 slack time A 7 0 7 B 6 7 13 C 2 7 9 D 4 9 13 E 3 13 16 F 4 13 17 G 6 17 23 23
 step 3 calculate LS for each activity after calculating its EF
 Activity Duration, D Early start, ES=Max of early finish of preceding activities Early finish, EF = ES + D Late finish, LF= Min of LS of successor activities Late start, LS= LF - D Total slack= LF-EF Critical activity, activities with 0 slack time A 7 0 7 7 0 0 Yes B 6 7 13 14 8 1 No C 2 7 9 9 7 0 Yes D 4 9 13 13 9 0 Yes E 3 13 16 17 14 1 No F 4 13 17 17 13 0 Yes G 6 17 23 23 17 0 Yes

b: A-C-D-F-G is the critical path.

c: it will take 23 weeks

d: B has 1 week of slack