47 Luna Martinez, director of personnel at 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 résumés, writing letters, making appointments to see prospective employers, researching companies and industries, and so on. Information on the activities is shown in the following table:

ACTIVITY DAYS IMMEDIATE PREDECESSORS MEAN STANDARD DEVIATION A 10.00 0.67 —

B 7.17 0.50 —

C 3.17 0.17 —

D 20.00 3.33 A E 7.00 0.33 C F 10.00 0.33 B, D, E G 7.33 0.67 B, D, E H 15.00 0.33 F I 11.17 0.50 F J 7.00 0.33 G, H K 6.67 0.67 I, J L 2.17 0.50 G, H Assume that all activity durations follow a normal distribution, with the means and standard deviations shown. Round off all activity times to two decimal places. Use simulation to determine the average project completion time and the probability that the project will take at least 75 days.