Problem 1

The following precedence diagram reflects three time estimates in weeks for each activity. Determine:

a.The expected completion time for each path and its variance.

b.The probability that the project will require more than 49 weeks.

c.The probability that the project can be completed in 46 weeks or less.

9-10-12 3 8 5-7-10 11-12-13 8-10-14 6 11 14-18-26 8-8-8 5-6-7 6-6-6 2 4 10.5-13-15.5 13-13-13 10 10-12-14 7 10-11-12 7-10-12 5 9CRASHING COSTS Activity Immediate Predecessor Normal Time (weeks) 1st Week 2nd Week K $410 $415 L K 125 K 45 45 L 4 300 350 N 50 - J. M 200 225 - - 85 90 6 90 End Y. Z