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 activitiesand precedence relationships.ActivityImmediatePredecessorEstimatedTimes (weeks)A — 2-4-6D A 6-8-10E D 7-9-12H E 2-3-5F A 3-4-8G F 5-7-9ActivityImmediatePredecessorEstimatedTimes (weeks)B — 2-2-3I B 2-3-6J I 3-4-5K J 4-5-8C — 5-8-12M C 1-1-1N M 6-7-11O N 8-9-13End H, G, K, Oa. 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 bonusof $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.

Practical Management Science
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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 5-7-9Activity
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.

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