# Project Management Concepts and Applications

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Running head: PROJECT MANAGEMENT Project ManagementName of the Student:Student ID:Name of the University:Author’s note:
1PROJECT MANAGEMENTTable of ContentsProblem 1: CPM Networks..............................................................................................................21. Activity-On-Arrow Diagram...................................................................................................22. Activity-On-Node Diagram.....................................................................................................23. ES/EF/LS/LF and Total floats.................................................................................................24. Critical Path of the Project.......................................................................................................3Problem 2: PERT Calculations........................................................................................................41. Activity-On-Arrow Diagram...................................................................................................42. Critical Path of the Project.......................................................................................................53. Probability of project duration (<23 weeks)...........................................................................54. Probability of project duration (<25 weeks)............................................................................55. Completion time for probability (=84%).................................................................................6Problem 3: PDM..............................................................................................................................61. ES/EF/LS/LF of each activity of project.................................................................................62. Critical Path.............................................................................................................................73. Non Critical Paths....................................................................................................................7Problem 4: Crashing........................................................................................................................81. Activity-On-Diagram for project.............................................................................................82. Time required for project completion (before crashing).........................................................83. Time required for project completion (after crashing)............................................................84. Minimum cost increment in direct cost...................................................................................95. New project diagram..............................................................................................................10Problem 5: Line of Balance...........................................................................................................101. Commencement and completion times of each operation.....................................................102. Table and diagram for project................................................................................................11Bibliography..................................................................................................................................12
2PROJECT MANAGEMENTAGBILEFDHJKCAGBILEFDHJKCBeginEndProblem 1: CPM Networks1. Activity-On-Arrow DiagramFigure 1: Activity-On-Arrow diagram for the project2. Activity-On-Node DiagramFigure 2: Activity-On-Node diagram for the project3. ES/EF/LS/LF and Total floatsTask NameEarly StartEarly FinishLate StartLate FinishFloatAMon 1/1/18Fri 1/19/18Mon 1/1/18Fri 1/19/180BMon 1/22/18Fri 1/26/18Mon 1/29/18Fri 2/2/181 wk
3PROJECT MANAGEMENTCMon 1/22/18Fri 2/2/18Mon 1/22/18Fri 2/2/180DMon 2/5/18Fri 2/16/18Mon 2/12/18Fri 2/23/181 wkEMon 2/5/18Fri 2/23/18Mon 2/5/18Fri 2/23/180FMon 1/29/18Fri 2/9/18Mon 2/12/18Fri 2/23/182 wksGMon 2/26/18Fri 3/2/18Mon 2/26/18Fri 3/2/180HMon 3/5/18Fri 3/30/18Mon 3/5/18Fri 3/30/180IMon 2/12/18Fri 3/16/18Mon 2/26/18Fri 3/30/182 wksJMon 4/2/18Fri 4/13/18Mon 4/2/18Fri 4/13/180KMon 4/16/18Fri 5/11/18Mon 4/16/18Fri 5/11/180LMon 2/12/18Fri 3/23/18Mon 4/2/18Fri 5/11/188 wks4. Critical Path of the ProjectThe critical path of the project is ACEGHJKIDTask ModeTask NameDurationStartFinishPredecessors1A3 wksMon 1/1/18Fri 1/19/182B1 wkMon 1/22/18Fri 1/26/1813C2 wksMon 1/22/18Fri 2/2/1814D2 wksMon 2/5/18Fri 2/16/1835E3 wksMon 2/5/18Fri 2/23/182,36F2 wksMon 1/29/18Fri 2/9/1827G1 wkMon 2/26/18Fri 3/2/184,58H4 wksMon 3/5/18Fri 3/30/1879I5 wksMon 2/12/18Fri 3/16/18610J2 wksMon 4/2/18Fri 4/13/188,911K4 wksMon 4/16/18Fri 5/11/181012L6 wksMon 2/12/18Fri 3/23/186TMFTSWSTMFTSWSTMFTDec 17, '17Jan 14, '18Feb 11, '18Mar 11, '18Apr 8, '18May 6, '18Jun 3, '18Jul 1, '18Figure 3: Project Gantt chart showing the critical path

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