What is the critical path through the network? What is the project completion time? Suppose the project has just been started. What is the longest you could delay beginning work on Task A without delaying the completion of the project?

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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3. Consider the following project, which consists of 10 tasks. (Noteshaper: Scenario #29)
Task
Completion Time (days)
Immediate Predecessors
A
None
A
C
A
D
5
A
E
F
2
C
3
E
B,E
2
H
F,G,I
a.
Draw the network model and identify the ES, EF, LS, and LF times.
Transcribed Image Text:3. Consider the following project, which consists of 10 tasks. (Noteshaper: Scenario #29) Task Completion Time (days) Immediate Predecessors A None A C A D 5 A E F 2 C 3 E B,E 2 H F,G,I a. Draw the network model and identify the ES, EF, LS, and LF times.
b. What is the critical path through the network?
C.
What is the project completion time?
d. Suppose the project has just been started. What is the longest you could delay
beginning work on Task A without delaying the completion of the project?
Transcribed Image Text:b. What is the critical path through the network? C. What is the project completion time? d. Suppose the project has just been started. What is the longest you could delay beginning work on Task A without delaying the completion of the project?
Expert Solution
Step 1

A network diagram is a visual representation of a project which helps identify the activity relationship using nodes and arrows. A forward and backward passing table helps to visualise the ES, EF, LS, LF and Slack values using the standard form of passing techniques. A slack value indicating the difference between LS and ES which representing the available time in each activities that ready to adjust the starting and ending of an activity without affecting the total project duration. The construction of network diagram will be like given below Using the given activity table. 

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