Consider the project described in the following table:

ACTIVITY	PREDECESSORS	DURATION (weeks)*
A	-	N(4,1)
B	-	N(6,2)
C	-	U(7,11)
D	A	T(4,6,8)
E	A	T(1,3,8)
F	B	U(6,10)
G	C	N(4,1)
H	C	N(7,2)
I	D	U(2,4)
J	E,F,G	T(3,5,8)
K	E,F,G	T(1,2,5)
L	H,K	N(5,1)
M	I,J,L	U(2,4)

* U(x,y): Duration of the activity has a uniform distribution between x and y

N(x,y): Duration of the activity has a normal distribution with mean x and standard deviation y

T(x,y,z): Duration of the activity has a triangular distribution with parameters x, y

and z.

(a). Draw the network diagram for the project.

(b) For this part of the question assume that each activity has a known deterministic duration which is equal to the mean duration given in the table above. Note that mean of a uniform distribution is (x+y)/2 and the mean of a triangular distribution is (x+y+z)/3. Please answer the following questions.

1. Identify the critical path,
2. How long will the project take?

(c). How many possible paths does this project have? Please identify them.