Question

Use the table below to answer the questions 25 to 28.

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

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

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

State the minimum duration of the project. ……………………………………………….

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

Answer 1

The AOA network diagram is as below:-

The duration of different activities are as below:-

Activity	Optimistic	Most Probable	Pessimistic	Expected completion time	Expected completion time
P	15	27	21	(15+4*27+21)/6	24.00
Q	18	36	24	(18+4*36+24)/6	31.00
R	26	40	24	(26+4*40+24)/6	35.00
S	21	39	27	(21+4*39+27)/6	34.00
T	27	33	24	(27+4*33+24)/6	30.50
U	16	32	24	(16+4*32+24)/6	28.00
V	16	30	26	(16+4*30+26)/6	27.00
	Formula for Expected completion time = (O+4M+P)/6

ES of activity T= 59 (from the diagram)

LS of activity T=59 (from the diagram)