The precedence diagram as follows : A B C D E F G The parallel paths and their c

Question

The precedence diagram as follows :

                                                                 A

               B

               C

               D

                      E

                 F

                                                            G

The parallel paths and their corresponding durations as follows :

A-B-E-G = 7 + 4 + 3 + 3 = 17 weeks

A-C-D-E-G = 7 + 8+ 5 + 3 + 3 = 26 weeks

A-C-D-F-G = 7+8+5 + 6 + 3 = 29 weeks

Since, A-C-D-F-G has the longest duration, it forms the critical path . Duration of the critical path is same as project completion time . Therefore duration is 29 weeks

Slack of activity B

= Duration of critical path – Duration of path A-B-E-G

= 29 – 17 weeks

= 12 weeks

CRITICAL PATH = 29 WEEKS

NUMBER OF WEEKS TO COMPLETE THE PROJECT = 29 WEEKS

SLACK OF ACTIVITY B = 12 WEEKS

                                                                 A

               B

               C

               D

                      E

                 F

                                                            G

Explanation / Answer

The following activities are part of a project to be scheduled using CPM: ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS) 3 6 B, D E, F b. What is the critical path? O A-C-D-E-G O A-C-D-F-G O A-B-D-F-G O A-B-E-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)

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