Solve the following case and build a diagramming technique using the Critical Path Method (CPM).

Activity	1	2	3	4	5	6	7	8	9
Activity time (days)	1	4	3	7	5	2	6	9	4
Immediate predecessor	-	1	1	1	2	3, 4	5, 6	4	7,8

1. Draw the CPM network diagram for the project, labeling all activities and times.

2. Determine the critical path and the expected duration of the project.

3. Perform a forward pass and backward pass through the network to determine the slack time for each activity