As an analysis, you were contracted by Mambo Innovations LTD to advise them on issues relating to its new product development project. Using work breakdown methodology, you have identified the project as consisting of coded A,B,C,.......,K. You have also identified eachactivity immediate predecessors and estimated activity times (pessimistic (P), Most likely (M) and optimistic (O)), crash time (C_T), normal costs (N_C) and crash costs (C_C). The dependence table below presents a summary of the resulting data.

		TIME	COST
Activity	Predecessor	Optimistic (0)	Most likely (M)	Pessimistic (P)	Crash	Normal	Crash
A	-	4	6	8	3	100	250
B	-	1	5	5	3	75	225
C	A	3	3	3	1	120	190
D	A	4	5	6	3	200	325
E	A	1	3	2	1	175	325
F	B,C	3	4	5	2	200	450
G	B,C	1	4	5	1	250	350
H	E,F	5	6	7	3	150	375
I	E,F	2	5	8	2	325	425
J	D,H	3	4	5	3	225	475
K	G,I	3	5	7	2	175	250

a)Determine the expected activity duration (Normal Time) from the three activity time estimates

b)Construct a network diagram for the above project and hence using the activity normal time estimate, determine the project duration (d) and the associated critical path

c)Using the result in (b) above, construct Float Table for the project and interpret

d)Suppose, the firm wishes to complete the project 1 monthearlier than the estimated time, construct the resulting activity schedule (duration and critical activities) and the resulting total cost .

e)Using the result in (D) above and given thatZ=(D - ) / find probabilities that the project duration will be

1. Between 18 and 26 months
2. Less than 30
3. Greater than 27 months