Asked by Maurice Edwards on Jun 28, 2024
Verified
Given the project within the table below calculate
a. The critical path
b. The minimum project duration
c. The amount of slack for each activity
Activity Duration (hours) Immediate Predecessors A4 None B3 None C10 None D7 B,CE1DF1EG5 A, F\begin{array} { | c | c | c | } \hline \text { Activity } & \begin{array} { c } \text { Duration } \\\text { (hours) }\end{array} & \begin{array} { c } \text { Immediate } \\\text { Predecessors }\end{array} \\\hline \mathrm { A } & 4 & \text { None } \\\hline \mathrm { B } & 3 & \text { None } \\\hline \mathrm { C } & 10 & \text { None } \\\hline \mathrm { D } & 7 & \mathrm {~B} , \mathrm { C } \\\hline \mathrm { E } & 1 & \mathrm { D } \\\hline \mathrm { F } & 1 & \mathrm { E } \\\hline \mathrm { G } & 5 & \mathrm {~A} , \mathrm {~F} \\\hline\end{array} Activity ABCDEFG Duration (hours) 43107115 Immediate Predecessors None None None B,CDE A, F
Minimum Duration
The shortest possible time in which a project or task can be completed, taking all constraints into account.
Immediate Predecessors
Activities or tasks that must be completed directly before a subsequent activity or task can begin, in a project or process sequence.
Critical Path
The longest sequence of tasks in a project, which determines the shortest possible duration to complete the project.
- Inspect the activities within a project to determine the vital progression and estimate the overall project timeline.
- Determine and appreciate the value of slack in the planning stages of project management.
Verified Answer
DM
Dillon MeierJul 01, 2024
Final Answer :
(A) The critical path is CDEFG
(B) Minimum duration is (10 + 7 + 1 + 1 + 5) or 24 hours
(C) CDEFG have no slack since on the critical path. BDEFG takes 17 hours, so B has 7 hours of slack. AG takes 9 hours, so A has 15 hours of slack.
(B) Minimum duration is (10 + 7 + 1 + 1 + 5) or 24 hours
(C) CDEFG have no slack since on the critical path. BDEFG takes 17 hours, so B has 7 hours of slack. AG takes 9 hours, so A has 15 hours of slack.
Learning Objectives
- Inspect the activities within a project to determine the vital progression and estimate the overall project timeline.
- Determine and appreciate the value of slack in the planning stages of project management.