5. The precedence relationships among 12 activities required to perform a project are given in the table below. A B с D

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5. The precedence relationships among 12 activities required to perform a project are given in the table below. A B с D F G H I J K L E 6 3 2 5 4 1 5 3 4 4 5 Activity Duration Immediate Follower(s) 10 CD EKF F,G G H,1H,1 J J J J (a) Construct the activity-on-are network for the relations among the activities in the project. (b) Apply the Critical Path Method (i.e., do the forward and backward calculations) to determine • the minimum time required to complete the project, • the earliest start time, earliest finish time, latest start time and latest finish time, and slack time for each activity, • the early and late event times, • the critical activities, and the critical path. (c) Based on the results of part (b), draw the Early Start Schedule, and • the Late Start Schedule for the project (d) How many days are available for the Activity Dand H without delaying the project? (e) Suppose that the indirect cost per day is $250, and we wish to reduce the completion time of the project by time crashing some of the following activities, which can be crashed linearly. Apply heuristic procedure given in the lecture notes to find a feasible solution that minimizes the total crashing cost. Crash Cost Activity Normal Cost ($) 800 Normal Time (days) 2 B 600 Crash Time (days) 1 2 2 D 4 G 600 1000 500 300 550 400 5 H 3 2 K 300 5 3 200 400 J 1000 4 2