Calculate the expected duration for the following tasks. (b) Draw the CPM Chart using the critical path method. (c) Identify all of the paths and select the critical path. (d) How much total slack do we have in the system? (15 pts)

Act Predecessor Optimistic Estimate Most Likely Estimate Pessimistic Estimate Expected Duration

A 1 2 4

B A 3 5 8

C B 2 4 5

D B 2 3 6

E B 1 1 1

F C,D 2 4 6

G D,E 2 3 4

H F,G 1 2 5

I G 4 5 9

J HI .5 1 3