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Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42-week completion date requested by the owner. The Mueller project manager prepared the following project network.

A project network with 10 activities and 14 directed arcs is shown.

Activity Start is connected to activity A.

Activity A is connected to activity B, to activity C, and to activity D.

Activity B is connected to activity F.

Activity C is connected to activity E and to activity F.

Activity D is connected to activity E.

Activity E is connected to activity G and to activity Finish.

Activity F is connected to activity G and to activity H.

Activity G is connected to activity H.

Activity H is connected to activity Finish.

Activity Finish has no arcs directed to other activities.

Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.

Activity	Optimistic	Most Probable	Pessimistic
A	4	8	12
B	6	7	8
C	6	12	18
D	3	5	7
E	6	9	18
F	5	8	17
G	10	15	20
H	5	6	13

(a)

Find the critical path. (Enter your answers as a comma-separated list.)

(b)

What is the expected project completion time (in weeks)?

weeks

(c)

Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by the owner? (Round your answer to four decimal places.)

(d)

Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 55 weeks for this calculation. (Round your answer to four decimal places.)

(e)

What should the construction company tell the owner? (Enter your free-form answer using as many characters as necessary.)