See the project task data in the table below. On your own, (without submitting it ) sketch the PDM diagram of this project to help answer the following questions. a) Determine the length (in weeks) of the four pathways from the start to the end of the project. b) What is the critical path, and thus what is the estimated duration of the project? c) Determine the task slack for each of the tasks of the project.

Tasks	Task Predecessor	Estimated Duration (in weeks)
A	(none)	0
B	A	10
C	A	20
D	B,C	30
E	B,C	20
F	E	40
G	D,F	20
H	G	0