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(1) Mr. Roy Cooper, who has been employed by Murdock Conglomerate, Inc. for about 15 years now, was recently appointed as the manager of a $4 million project for Tristan Power, Inc. The tasks for the project have been identified and their various times in weeks are specified in the table below. M-P-K-S has been found to be the critical path of the project. When Murdock signed the contract with Tristan Power, Inc., it was agreed that Murdock will pay a penalty of $10,000 per week of delay if the project is not completed within 30 weeks. (a) Calculate the appropriate values for Mi, vi, V2, and M3 as designated in the table below. [4 points) (b) What is the probability that Murdock would not pay anything in penalty fees to its client, Tristan Power, Inc.? [3 points] (C) Within what completion time can Mr. Cooper be 98% confident that the job would be completed? Would Murdock need to pay any penalty fee under this completion time scenario? If yes, how much? [5 points) 16 1 Activity a m b Mean Variance F 2 2 2 2 0 M 2 4 M1 = V1 = N 3 5 3 0.444 P 2 5 8 5 V2 = K 8 10 12 M3 = 0.444 R 2 3 2 0.111 S 7 8 9 8 0.111 Note: is the optimistic time, m is the most likely time, and b is the pessimistic time