Asked by Lauren Knight on Jul 26, 2024
Verified
The network below represents a project being analyzed by Critical Path Methods. Activity durations are indicated on the network. 
a. Identify the activities on the critical path.
b. What is the duration of the critical path?
c. Calculate the amount of slack time at activity H.
d. If activity I were delayed by ten time units, what would be the impact on the project duration?
Critical Path Methods
A project management technique that identifies the longest sequence of dependent tasks and allocates resources to minimize total project duration.
Slack Time
Free time for an activity.
Activity Durations
The estimated time periods that tasks or activities within a project are expected to take to complete.
- Examine project tasks to pinpoint the essential sequence and compute the total time required for completion.
- Compute and comprehend the importance of slack within the context of project management planning.
Verified Answer
NE
Nikki EstersJul 27, 2024
Final Answer :
(a) Critical activities are A-C-J-K.
(b) The critical path is 26 time units.
(c) Slack at H is 9 units.
(d) I has 11 units slack-a ten unit delay would have no impact on the project.
Task Early Start Early Finish Late Start Late Finish Slack A 05050 B 03696 C 5165160 D 049139 E 3109166 F 410152111 G 37172114 H 4713169 I 1015212611 J 162216220 K 222622260 Project 26\begin{array} { | c | c | c | c | c | c | } \hline \text { Task } & \text { Early Start } & \text { Early Finish } & \text { Late Start } & \text { Late Finish } & \text { Slack } \\\hline \text { A } & 0 & 5 & 0 & 5 & 0 \\\hline \text { B } & 0 & 3 & 6 & 9 & 6 \\\hline \text { C } & 5 & 16 & 5 & 16 & 0 \\\hline \text { D } & 0 & 4 & 9 & 13 & 9 \\\hline \text { E } & 3 & 10 & 9 & 16 & 6 \\\hline \text { F } & 4 & 10 & 15 & 21 & 11 \\\hline \text { G } & 3 & 7 & 17 & 21 & 14 \\\hline \text { H } & 4 & 7 & 13 & 16 & 9 \\\hline \text { I } & 10 & 15 & 21 & 26 & 11 \\\hline \text { J } & 16 & 22 & 16 & 22 & 0 \\\hline \text { K } & 22 & 26 & 22 & 26 & 0 \\\hline & \text { Project } & 26 & & & \\\hline\end{array} Task A B C D E F G H I J K Early Start 00503434101622 Project Early Finish 5316410107715222626 Late Start 06599151713211622 Late Finish 59161316212116262226 Slack 06096111491100
(b) The critical path is 26 time units.
(c) Slack at H is 9 units.
(d) I has 11 units slack-a ten unit delay would have no impact on the project.
Task Early Start Early Finish Late Start Late Finish Slack A 05050 B 03696 C 5165160 D 049139 E 3109166 F 410152111 G 37172114 H 4713169 I 1015212611 J 162216220 K 222622260 Project 26\begin{array} { | c | c | c | c | c | c | } \hline \text { Task } & \text { Early Start } & \text { Early Finish } & \text { Late Start } & \text { Late Finish } & \text { Slack } \\\hline \text { A } & 0 & 5 & 0 & 5 & 0 \\\hline \text { B } & 0 & 3 & 6 & 9 & 6 \\\hline \text { C } & 5 & 16 & 5 & 16 & 0 \\\hline \text { D } & 0 & 4 & 9 & 13 & 9 \\\hline \text { E } & 3 & 10 & 9 & 16 & 6 \\\hline \text { F } & 4 & 10 & 15 & 21 & 11 \\\hline \text { G } & 3 & 7 & 17 & 21 & 14 \\\hline \text { H } & 4 & 7 & 13 & 16 & 9 \\\hline \text { I } & 10 & 15 & 21 & 26 & 11 \\\hline \text { J } & 16 & 22 & 16 & 22 & 0 \\\hline \text { K } & 22 & 26 & 22 & 26 & 0 \\\hline & \text { Project } & 26 & & & \\\hline\end{array} Task A B C D E F G H I J K Early Start 00503434101622 Project Early Finish 5316410107715222626 Late Start 06599151713211622 Late Finish 59161316212116262226 Slack 06096111491100
Learning Objectives
- Examine project tasks to pinpoint the essential sequence and compute the total time required for completion.
- Compute and comprehend the importance of slack within the context of project management planning.