A project manager has compiled a list of major activities that will be required to install a computer information system in her firm. The list includes estimated completion times for activities and precedence relationships.

Activity Immediate Predecessor Estimated Times (weeks)
A — 2-4-6 D A 6-8-10 E D 7-9-12 H E 2-3-5 F A 3-4-8 G F 5-7-9 Activity Immediate Predecessor Estimated Times (weeks)
B — 2-2-3 I B 2-3-6 J I 3-4-5 K J 4-5-8 C — 5-8-12 M C 1-1-1 N M 6-7-11 O N 8-9-13 End H, G, K, O

a. Construct a network diagram. You can use either AOA or AON (see Example 5).

b. If the project is finished within 26 weeks of its start, the project manager will receive a bonus of $1,000; and if the project is finished within 27 weeks of its start, the bonus will be $500.
Find the probability of each bonus. LO.1