A small project is composed of 9 activities whose time estimates are listed in the table below. Activities are identified by their beginning (i) and ending (j) node numbers. (show your work for each part).

a) Draw the project network and find critical activities and slack times and project duration.

b) What is the maximum number of activities that can be delayed for the project to be on-time? Explain why.

c) Calculate the total usable slack time without delaying the project duration.

Activity	Estimated Duration in Days
i-j	Optimistic	Most Likely	Pessimistic
1-4	17	20	23
1-5	7	10	13
2-3	8	9	16
2-4	16	19	22
3-7	11	14	17
3-8	2	3	16
4-7	2	5	8
4-8	1	4	7
5-6	12	15	18