Draw an activity-on-node network diagram for the following project, including the estimated time for each activity: explain your answer and show your work

b) What is the critical path, expected duration, and variance of the project?

c) Using the expected times you calculated, which activities have slack and how much?

d) What are the chances that you can finish this project in 56 days?

e) If I gave you an extra resource (say 3 person-days of work) what would you do with it?

Activity	optimistic time (days)	Most likely time (days)	Pessimistic Time (days)	Predecessor
A	20	25	35	-
B	3	5	7	A
C	8	9	15	B
D	16	17	18	A
E	7	10	13	D
F	2	2	4	C,E
G	4	5	6	B