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# Quantitative analysis:Networks, PERT, critical path.

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1. Develop a network drawing for Hill Construction & determine the critical path. How long is the project expected to take?
2. What is the probability of finishing in 270 days?
3. If it's necessary to crash to 250 or 240 days, how would Hill do so, and at what costs? As noted in the case, assume that optimistic time estimates can be used as crash times.

#### Solution Summary

The problem set deals with estimating project duration through PERT/CPM techniques.

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## Quantitative analysis: Networks, PERT, critical path...

The following data were obtained from an in-house MIS project:

Activity Duration Predecessors
A 3 Days ---
B 6 Days ---
C 3 Days A
D 2 Days B
E 3 Days B
F 1 Day C, D
G 5 Days C, D
H 4 Days E, F, G
I 7 Days E, F

Construct a network for the project. Then review and answer (A) and (B).

(A.) Calculate the scheduled completion time and identify the critical path.

(B.) What is the slack time (float) for activities A, D, E, and F?

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