Answer to Question #319214 in Civil and Environmental Engineering for Robin

Question

A construction company has an opportunity to submit a bid for the construction of a new apartment building. From the specification provided by the developer, the PERT network along with the three time estimate (in week) for each activity as shown in figure-1.

Answer 1

Expected time of each activity:

tE =$\frac{ to + 9t + tp}{6}$ , where;

t_o = optimistic time

tE = most likely time

tp = pessimistic time

Event Earliest expected time Latest allowable time

1 0 0

2 10 10

3 9 11

4 19 19

5 30 30

6 30 33

7 30 30

8 36 39

9 40 40

10 48 48

Activity Expected time of completion (tE)

A (1-2) 10

B (1-3) 9

C (2-4) 9

D (3-4) 8

E (2-6) 7

F (4-5) 11

G (3-7) 5

H (6-8) 6

I (5-10) 11.67

J (7-9) 10

K (8-10) 9

L (9-10) 8