Operation Management - Slack Time

A manufacturer of electricity and steam cogeneration systems produces low-cost and environmentally sound turbine/generator sets for use at locations were steam is to be consumed. The project network for a segment of manufacturing activities is shown below.

a) Determine the start and finish times, slack of each activity and the expected project completion time. Identify the critical path.
b) What is the probability of completing the project in 35 weeks or less?
c) If, simultaneously, activity E is shortened by 2 weeks and activity G is shortened by 1 week, what effect would this have on the completion date?
d) (Refer back to the original problem, ignore the modifications made in part (c) ) If the expected project completion time is to be reduced by 3 weeks, what will be the minimum additional cost and what activities will be crashed?

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