Project Management

The discussion among investors of a company to explore new avenue with manufacturing gift items/merchandise targeted for various events. You are assigned as the project manager of this pilot project. Your team has come up with the following associated activities and timings.

Activity	Description	Predecessor	Time (In number of days)
			Optimistic	Most Likely	Pessimistic
A	Design package	None	8	15	22
B	Design product	A	21	25	35
C	Secure patent	B	30	45	60
D	Build package	A	6	9	12
E	Build product	B	30	36	48
F	Finishing and detailing	C, D, E	9	12	15
G	Run pilot campaign	F	5	7	9

Answer the following: a) Draw the activity network diagram with depiction of critical path. b) What is the project completion time in week? c) How confident are we that this project will be completed within 16 weeks after project start? Write in exact percentage up to two decimal digits (i.e. WX.YZ %) (Table is at the end of the question paper)