Consider the following activity diagram of a project. In this chart, T1, T2, etc. stand for tasks and M1, M2, etc. stand for milestones

Dates are displayed in the European d/m/y format, so 14/7/03 for milstone1 (M1) stands fro July 14, 2003. In this year of 2003, July 4 fell on Friday. The number of days for a task count only weekdays, not weekends, and also counts the starting date and end date inclusive. For example, the project started on July 4, 2003 Friday and with task 1 (T1) taking 8 days, it will be complete at milestone 1 (M1) on July 14 Monday since there are a total of 8 working days from July 4 2003 till July 14 2003.

a) Count the number of different paths are there from start date July 4, 2003 (4/7/03) to milestone 4 (M4) with date 4/8/03?

b) If task 1 (T1) is delayed by 2 working days, but T2, T3, and T6 are on schedule, will any of the 3 milestones M1, M3, or M4 be delayed? If so, by how many days?

15 da ys T3 5 da ys T6 20 da ys 14/7 /03 M1 15 da ys 8 da ys T9 T1 4/8/03 2 5/8/03 2 5/7 03 4/7 03 M4 M6 M3 star t 15da ys 7 da ys T7 T11 T2 5/7 03 11/8/03 5/9/03 10 da ys 10 da ys M2 M7 M8 T4 T5 15 da ys T10 10ca ys 18/7 03 T12 M5 25 da ys TS Finish 199/03 15 da ys T3 5 da ys T6 20 da ys 14/7 /03 M1 15 da ys 8 da ys T9 T1 4/8/03 2 5/8/03 2 5/7 03 4/7 03 M4 M6 M3 star t 15da ys 7 da ys T7 T11 T2 5/7 03 11/8/03 5/9/03 10 da ys 10 da ys M2 M7 M8 T4 T5 15 da ys T10 10ca ys 18/7 03 T12 M5 25 da ys TS Finish 199/03