Asked by Angelica Serrano on Jun 29, 2024
Verified
The network below represents a project being analyzed by Critical Path Methods. Activity durations are A = 5, B = 2, C = 12, D = 3, E = 5, F = 1, G = 7, H = 2, I = 10, and J = 6. 
a. What task must be on the critical path, regardless of activity durations?
b. What is the duration of path A-B-E-H-J?
c. What is the critical path of this network?
d. What is the length of the critical path?
e. What is slack time at activity H?
f. What is the Late Finish of activity H?
g. If activity C were delayed by two time units, what would happen to the project duration?
Critical Path
A method used in project management to identify the longest sequence of dependent tasks that determine the shortest possible duration to complete the project.
Activity Durations
The individual time periods that each task or activity within a project is expected to take from start to completion.
- Master the creation and evaluation of network diagrams, which involves the calculation of the earliest and latest beginning times, as well as the complete duration of the project.
Verified Answer
MC
Monaca CollinsJul 03, 2024
Final Answer :
(a) J; (b) 20; (c) A-B-G-I-J; (d) 30; (e) 5; (f) 24; (g) no impact.
Results Task Early Start Early Finish Late Start Late Finish Slack A 05050 B 57570 C 51710225 D 03101310 E 712172210 F 34131410 G 7147140 H 171922245 I 142414240 J 243024300 Project 30\begin{array} { | c | c | c | c | c | c | } \hline \text { Results } & & & & & \\\hline \text { Task } & \text { Early Start } & \begin{array} { c } \text { Early } \\\text { Finish }\end{array} & \text { Late Start } & \begin{array} { c } \text { Late } \\\text { Finish }\end{array} & \text { Slack } \\\hline \text { A } & 0 & 5 & 0 & 5 & 0 \\\hline \text { B } & 5 & 7 & 5 & 7 & 0 \\\hline \text { C } & 5 & 17 & 10 & 22 & 5 \\\hline \text { D } & 0 & 3 & 10 & 13 & 10 \\\hline \text { E } & 7 & 12 & 17 & 22 & 10 \\\hline \text { F } & 3 & 4 & 13 & 14 & 10 \\\hline \text { G } & 7 & 14 & 7 & 14 & 0 \\\hline \text { H } & 17 & 19 & 22 & 24 & 5 \\\hline \text { I } & 14 & 24 & 14 & 24 & 0 \\\hline \text { J } & 24 & 30 & 24 & 30 & 0 \\\hline & \text { Project } & 30 & & & \\\hline\end{array} Results Task A B C D E F G H I J Early Start 0550737171424 Project Early Finish 571731241419243030 Late Start 05101017137221424 Late Finish 572213221414242430 Slack 0051010100500
Results Task Early Start Early Finish Late Start Late Finish Slack A 05050 B 57570 C 51710225 D 03101310 E 712172210 F 34131410 G 7147140 H 171922245 I 142414240 J 243024300 Project 30\begin{array} { | c | c | c | c | c | c | } \hline \text { Results } & & & & & \\\hline \text { Task } & \text { Early Start } & \begin{array} { c } \text { Early } \\\text { Finish }\end{array} & \text { Late Start } & \begin{array} { c } \text { Late } \\\text { Finish }\end{array} & \text { Slack } \\\hline \text { A } & 0 & 5 & 0 & 5 & 0 \\\hline \text { B } & 5 & 7 & 5 & 7 & 0 \\\hline \text { C } & 5 & 17 & 10 & 22 & 5 \\\hline \text { D } & 0 & 3 & 10 & 13 & 10 \\\hline \text { E } & 7 & 12 & 17 & 22 & 10 \\\hline \text { F } & 3 & 4 & 13 & 14 & 10 \\\hline \text { G } & 7 & 14 & 7 & 14 & 0 \\\hline \text { H } & 17 & 19 & 22 & 24 & 5 \\\hline \text { I } & 14 & 24 & 14 & 24 & 0 \\\hline \text { J } & 24 & 30 & 24 & 30 & 0 \\\hline & \text { Project } & 30 & & & \\\hline\end{array} Results Task A B C D E F G H I J Early Start 0550737171424 Project Early Finish 571731241419243030 Late Start 05101017137221424 Late Finish 572213221414242430 Slack 0051010100500
Learning Objectives
- Master the creation and evaluation of network diagrams, which involves the calculation of the earliest and latest beginning times, as well as the complete duration of the project.
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