A small project consisting of eight activities has the following characteristics: Time estimate (in weeks) Activity Preceding activity Most Optimistic time (a) Most likely time (m) Most Pessimestic time (b) A None 2 4 12 B None 10 12 26 C A 8 9 10 D A 10 15 20 E A 7 7.5 11 F B, C 9 9 9 G D 3 3.5 7 H E, F, G 5 5 5     Required: Draw the PERT network diagram for the project. What is the project duration? Determine the critical path.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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  1. A small project consisting of eight activities has the following characteristics:

Time estimate (in weeks)

Activity

Preceding activity

Most Optimistic time (a)

Most likely time (m)

Most Pessimestic time (b)

A

None

2

4

12

B

None

10

12

26

C

A

8

9

10

D

A

10

15

20

E

A

7

7.5

11

F

B, C

9

9

9

G

D

3

3.5

7

H

E, F, G

5

5

5

 

 

Required:

  1. Draw the PERT network diagram for the project.
  2. What is the project duration?
  3. Determine the critical path.
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