A small project is composed of 8 activities where time estimates are l

Question

A small project is composed of 8 activities where time estimates are listed in the table below:

Activity	Estimated duration (in days)
Activity	Optimistic	Most likely	Pessimistic
A (1, 2)	28	32	36
B (1,3)	22	28	32
C (2, 6)	26	36	46
D (3, 4)	14	16	18
E (3, 5)	32	32	32
F (3, 6)	40	52	74
G (4, 5)	12	16	24
H (5, 6)	16	20	26

Draw the project network diagram. Using the PERT find the expected time and variance for each activity.

10 Mar 2024

Answer :

Word Count : 342

To draw the project network diagram and find the expected time and variance for each activity using PERT (Program Evaluation and Review Technique), we need to follow these steps:

Draw the project network diagram:

The activities and their precedence relationships are represented in the following network diagram:

A
/ \
B C
\ /
D
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Profit (in thousands)	3	5	7	9	10
Probability	0.1	0.2	0.4	0.2	0.1

Factory	Ware house	$W_1$	$W_2$	$W_2$	Availability
$F_1$		16	20	12	200
$F_2$		14	8	18	160
$F_3$		26	24	16	90
Demand		180	120	150

Activity	Predecessor	Duration in weeks
A	__	6
B	A	24
C	A	6
D	A	12
E	A	9
F	C,D,E	18
G	B,F	12
H	G	24