Course Solutions Uncategorized (Answered) : Consider the following work breakdown structure: Task Immediate Predecessor Duration A – – – 5 B A 12 C A 7 D C 6 E B, D

(Answered) : Consider the following work breakdown structure: Task Immediate Predecessor Duration A – – – 5 B A 12 C A 7 D C 6 E B, D

Consider the following work breakdown structure:

Task Immediate Predecessor Duration
A – – – 5
B A 12
C A 7
D C 6
E B, D 8
F D 3
G D 3
H E 4
I F, G, H 6
What is the absolute minimum time required to complete this project?

Expert Answer


The various paths and their expected completion time for this project are

A-B-E-H-I = 5+12+8+4+6 = 35
A-C-D-E-H-I = 5+7+6+8+4+6 = 36
A-C-D-F-I = 5+7+6+3+6 = 27
A-C-D-G-I = 5+7+6+3+6 = 27
SO the critical path is A-C-D-E-H-I as it has the longest expected completion time.

Minimum time required to complete the project = Expected completion time of the critical path = 36

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