You are responsible for developing a supervisory training programme for a company. The following table shows...

You are responsible for developing a supervisory training programme for a company. The following table shows the relationships between the activities that must be completed, along with estimates of the durations in days.

Table 1: Activity Times and Predecessors

Activity	Immediate Predecessors	Optimistic Time (a)	Most Likely time (m)	Pessimistic Time (b)
A	-	3	7	13
B	-	5	10	17
C	A,B	3	5	8
D	C	5	12	14
E	C	2	5	9
F	E	2	5	15
G	E,F	5	8	12
H	D	6	10	12
I	E,H	3	4	8
J	G, I	4	7	10

Required
(a) Draw the activity network for this problem (either AON or AOA)
(b) Determine the Expected Time and Variance for each activity (show in a table).
Round off times to two decimal places where fractional.
(c) Show the activity schedule (ES, EF, LS, LF) as well as slack (in table).
(d) Determine and state the critical path for this project. This must be based on
your work in c) and not by inspection.
(e) What are the expected time and the variance of the project?
(f) What is the probability the project will be finished within 49 days?
(g) What time should be set such that there is a 99% chance of completion?
(h) What is the probability the project will take between 45 and 50 days?

Solutions

Expert Solution

Project Evaluation and Review Technique is used

Colby Messinger answered 1 year ago

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