You have been contracted to undertake a project for a firm. The project parameters are listed in the table below.

Task	Length (weeks)	Immediate Predecessors	Crash Cost per week	Maximum weeks crashed
A	2		250	1
B	3		200	1
C	3		200	2
D	3	A, B	150	1
E	2	B, C	350	2
F	3	D	100	1
G	4	D, E	350	1
H	4	F, G	700	1
I	3	G	100	1

a) Draw a network diagram and determine the critical path for the project. What is the expected completion time (state it explicitly)? b) The client asks you to shorten the project by 3 weeks and will pay you a bonus of $1,200. Is this worthwhile? When you finish crashing 3 weeks from the project, which path or paths are critical?