The marketing department at Bodnar Industries is developing a promotional campaign to introduce a new product. A listing of the various activities required, their immediate predecessors, and estimates of their times (in days) is given below.

a) Draw the precedence diagram for this network.

b) Identify the critical path and the expected project completion time.

c) Provide the slack time for one of the non-critical paths relative to the critical path completion time.

d) What is the probability that it will take 59 days or longer to complete the critical path?

e) How many days should the marketing manager allow for completion of the critical path if he wants to be 97.5% sure that the critical path will be completed within this allowed time? Provide this answer to two decimal points (xx.xx)

For any calculations that you make that involve time, use the time (days) to two decimal places (xx.xx).

Activity	Description	Immediate Predecessors	Optimistic Time	Most Likely Time	Pessimistic Time
A	Rough brochure layout	--	2	3	5
B	Review brochure	A	6	8	10
C	Final brochure layout	B	4	6	8
D	Final brochure artwork	C	5	7	11
E	Design display	--	12	15	20
F	Rough display artwork	E	2	3	4
G	Review display	E	6	8	10
H	Revise display	G	2	3	4
I	Final display artwork	F,H	1	2	4
J	Make display plates	I	18	23	26
K	Make brochure plates	D,I	10	13	16
L	Make and ship displays	J	7	10	14
M	Print and ship brochures	K	6	8	10