Question 1 - [ 18 marks]

A company is embarking on a new project in view of improving its competitiveness on the market. An analysis of the different main tasks to be undertaken is tabulated below. The duration, in weeks, of the different tasks.

Activities	Immediate predecessor activities	Duration in weeks
		Optimistic	Most likely	Pessimistic
A	-	9	10	17
B	-	6	6	6
C	A	6	8	10
D	A,B	11	12	13
E	B	9	10	11
F	C,D,E	7	10	13
G	C	5	6	7
H	E,F	8	8	8
I	G	6	9	12
J	G	13	15	23
K	F,H	18	18	18
L	I,J	7	10	19
M	L	5	8	11

1. Using the PERT approach, construct the network diagram for the scheme of activities given in the table including full information (i.e. earliest and latest start times) so as to satisfy the scheduling requirements. (12 marks)
2. State the critical path and the project completion time. (2 marks)
3. Determine the variance and standard deviation for the project. (4 marks)