Consider the following information about a small project:

Task	Budget	Duration (days)	Immediate Predecessors	Shortest Time Possible	Acceleration Cost per day
A	$200	2	None	2
B	$500	5	A	3	$20
C	$200	2	B	1	$15
D	$400	4	A	4
E	$300	3	B&D	1	$20
F	$400	4	E&C	2	$40

a. Identify the critical path by forward and backward paths. For the tasks that are not on the critical path, identify their slacks.

b. At the end of 8th day, assume the following progress of the project:

i. Tasks A, B, D are 100% completed, and the actual costs spent for them are $200, $500 and $450, respectively.

ii. Task C is 80% completed, and already cost $100

iii. Task E is 66.67% completed, and already cost $100

iv. Task F is not started yet, and didnt cost anything either.