Find out the expected time and variance for each and every

Tom Schriber, a director of personnel of Management Resources, Inc., is in the process of designing a program that its customers can use in the job-finding process. Some of the activities include preparing resumes, writing letters, making appointments to see prospective employers, researching companies and industries, and so on. Some of the information on the activities is shown the following table: Days Immediate Activity a m b Prodecessors A 8 10 12 - B 6 7 9 - C 3 3 4 - D 10 20 30 A E 6 7 8 C F 9 10 11 B,D,E G 6 7 10 B,D,E H 14 15 16 F I 10 11 13 F J 6 7 8 G,H K 4 7 8 I,J L 1 2 4 G,H

a. Construct a network for this problem.

b. Determine the expected time and variance for each activity.

c. Determine ES, EF, LS, LF, and slack for each activity.

d. Determine the critical path and project completion time.

e. Determine the probability that the project will be finished in 70 days or less.

f. Determine the probability that the project will be finished in 80 days or less.

g. Determine the probability that the project will be finished in 90 days or less.