Question

Consider the following work breakdown structure:

Time Estimates (days)
Activity Precedes Optimistic Most Likely Pessimistic
Start A, B,C - - -
A D 38 50 62
B E 90 99 108
C End 85 100 115
D F 19 25 31
E End 91 100 115
F End 62 65 68
What is the estimated expected (mean) time for project completion?

Answer 1

The estimated expected (mean) time for project completion is 440 hours.

Step-by-step explanation:

The given breakdown structure is

Activity Precedes Optimistic Most Likely Pessimistic

A D 38 50 62

B E 90 99 108

C End 85 100 115

D F 19 25 31

E End 91 100 115

F End 62 65 68

Using the table we get

`\sum t_0=38+90+85+19+91+62=385`

`\sum t_m=50+99+100+25+100+65=439`

`\sum t_p=62+108+115+31+115+68=499`

The formula for estimated expected (mean) time for project completion is

`t=(\sum t_0+4\cdot \sum t_m+\sum t_p)/(6)`

`t=(385+4\cdot 439+499)/(6)`

`t=440`

Therefore the estimated expected (mean) time for project completion is 440 hours.