Challenge 7. Consider the network diagram in the following figure. Task relation

Question

Challenge 7. Consider the network diagram in the following figure. Task relationships and task times for a hypothetical project A2 A3 A4 AS 2 DAYS A1 BA1 AB1 81 7 DAYS B3 0 DAYS DAYS CB1 8 DAYS 85 C1 10 DAYS C82 5 DA BC1 3 DAYS CS C3 DAYS 3 DAYS CA Question 7.a. What is the earliest start time for task A4? Question 7.b. What tasks are on the critical path? How long will this project take if the tasks on the critical path are completed on time? Question 7.c. What is the latest start time for task B4? Question 7.d. What is the latest finish time for task A5?

Explanation / Answer

Answer 7.a

Earliest Start for task A4 = Earliest completion of A3 = Earliest start of A3 + Duration of A3 = 9+6=15

Earliest Start for A3 = Maximum (Earliest completion of A2, Earliest completion of BA1) = Max.(3+6,3+5)

Answer 7.b

Critical path is the longest path and or the path made up of critical activities.and duration of the critical path (sum of critical activities durations) is the duration of the project.

The critical path is C1--CB1--B3--BC1--C5 and duration is 39 days

Latest start time for B4 is 30 (39-6-3)

Latest finish time for A5 is 26 (39-6-7)

Activity Preceed. Time ES EF A1 -- 3 0 3 B1 -- 3 0 3 C1 -- 10 0 10 A2 A1 6 3 9 B2 B1 3 3 6 C2 C1 3 10 13 BA1 B1 5 3 8 CB1 C1 8 10 18 A3 A2,BA1 6 9 15 A4 A3 2 15 17 A5 A4 2 17 19 A6 A5 3 19 22 B3 B2,CB1 10 18 28 CB2 C2 5 13 18 C3 C2 9 13 22 B4 B3,CB2 3 28 31 AB1 A5 7 19 26 C4 C3 3 22 25 B5 B4,AB1 6 31 37 BC1 B3,CB2 5 28 33 C5 C4,BC1 6 33 39

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