The table lists the activities required to complete and equipment installation project. Also included are expected (normal) activity times and variances, precedence requirements, normal costs at expected times, and the cost to expedite by 1 week. Any activity can only be expedited by 1 week maximum. Activity times (in weeks) and variances are computed using most likely, and pessimistic times. Activity "s" represents the start of the project, but it has no time or cost value.

a. What is the probability the project can be finished within 30 weeks?

Activity Immediate predecessor 1 2 3 4 5 6 1 1 2 3 3 3 4,5 6 7,8 Normal time 0 5 4 6 8 4 4 6 2 Expedited time 0 4 2 4 5 3 2 4 2 Normal cost (S) 0 6,000 4,000 8,000 10,000 6,000 5,000 9,000 1000 Expedited cost (S) 0 7,900 3,000 10.200 13,000 7,800 6,500 11,000 1200 7 8 9 Activity Immediate predecessor 1 2 3 4 5 6 1 1 2 3 3 3 4,5 6 7,8 Normal time 0 5 4 6 8 4 4 6 2 Expedited time 0 4 2 4 5 3 2 4 2 Normal cost (S) 0 6,000 4,000 8,000 10,000 6,000 5,000 9,000 1000 Expedited cost (S) 0 7,900 3,000 10.200 13,000 7,800 6,500 11,000 1200 7 8 9