The data contained in table 14.4 refer to a project that contains 13 activities.

Based on the details of the activity, precedent activities and time estimates you Activity TB=l G required to:

Construct a PERT diagram.

Identify all possible paths through the diagram, including how long each path takes.

Identify the critical path and how long it takes.

Calculate, for each activity:

(i) earliest start time

(ii) latest finish time

(iii) earliest finish time

(iv) slack time.
For the activities identified as containing slack, is the slack dependent or independent? Explain your classification.
What is the effect on the critical path if the following events occur independent of each other?
(1) Activity B takes four days instead of seven.
(il) Activity J experiences three days of unplanned delays.
(ili) Activity M is able to be completed in two days.

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TABLE 14.4 Project activities, precedents and times Activity Immediate precedent Time Earliest Latest Earliest taken start finish finish Slack A 3 B C AB 7 6 D 4 E C, D 2 F E 4 G 8 H G 1 F, H 5 J 10 K F L K 29 M J, L 4