Solution Job 1 2 7 8 2 3 3 5 5 8 6 7 4 5 2 4 1 6 6 The various paths are 1 2 3 1 2 1 6 2 3 TE 2 4 3 5 4 5 6 7 5 8 7 8 Tp T 4Tm 6 42 6 7 108 6 18 84 6 14 66 6 11 24 6 4 66 6 11 42 6 7 30 6 5 36 6 6 The critical path is 1 2 3 5 8 The project duration is 36 days Variance of the critical path 4 16 4 1 25 3 2 6 2 5 3 3 SD TP 1 2 3 5 8 1 2 4 5 8 1 6 7 8 1 4 73 2 4 4 2 1 4 2 1 2 Problem 4 The following table lists the jobs of a network with their time estimates Job Optimistic Duration days Most Likely 7 6 6 5 12 5 11 6 9 4 19 Variance 16 16 4 1 16 4 1 4 Duration 36 23 35 Pessimistic 15 14 30 8 17 15 27 7 28 72