Consider the following project, all durations are in days. Construct a precedence diagram, find the critical path and the early and late start and end times and which tasks have slack and how much each has. Which tasks would you recommend crashing to reduce the project duration by six days assuming that it costs the same to crash each task and that no task can be crashed to less than half its original duration, you would like to minimize the total of number of tasks crashed, and tasks A and N cannot be crashed at all? (20 points)

Task	Predecessors	Most Likely Duration
A	-	3
B	A	12
C	A	7
D	A	6
E	B	10
F	E	7
G	C	18
H	C	13
I	G	10
J	H	13
K	D	10
L	K	11
M	L	7
N	F, I, J, M	2