Question

Use the table below to answer the questions

Activity	Optimistic duration	Pessimistic duration	Most Likely duration	Weighted duration	Immediate Predecessor
P	15	27	21		-
Q	18	36	24		P
R	26	40	24		P
S	21	39	27		Q
T	27	33	24		Q,R
U	16	32	24		S,T
V	16	30	26		U

1. Calculate the actual duration of each activity (fill-in the table)

2. Draw an AOA network diagram for the activities (in the space below):

3. State the minimum duration of the project

4. State the ES and LS time of activity T, ……………………..

Answer 1

(1)

Activity	Optimistic duration (a)	Pessimistic duration (b)	Most Likely duration (m)	Weighted duration te = (a+4m+b)/6	Immediate Predecessor
P	15	27	21	21.0	-
Q	18	36	24	25.0	P
R	26	40	24	27.0	P
S	21	39	27	28.0	Q
T	27	33	24	26.0	Q,R
U	16	32	24	24.0	S,T
V	16	30	26	25.0	U

(2)

3.

Minimum duration = 123

4.