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CH 14 P#11.Consider the following project activities: A)Draw the project network diagram.ActivityDuration(days)predecessorsA1NoneB2NoneC1.5NoneD3A,BE2.5CF1.5D,EG4FH2FESActEFLSDurLF0A3→3C5→5E7.5→8G12033dp3.525.5dp5.52.58dp8412↘↗↗0B2dp3D4.5dp4.5F8123→31.54.5→4.53.58critical path - ES/EF/LS/LF are the sameForward Pass (take larger amt)Backward Pass (take smaller amt)dp = decision pointG, 4F, 3.5E, 2.5D, 1.5C, 6B, 2A, 3
b)Identify all the paths through the network and their lengths.C-Identify all the critical activities and paths. How long will the entire project take?Paths:Length:A-C-E-G15.5A-D-E-G11A-D-F-G12Critical Path3+6+2.5+4=15.5B-D-E-G10B-D-F-G11D-Management would like to complete the project in less than 12days. Management has determined that activity C can be crashed 4 weeks, for a total cost of $10,000. No other activities can be crashed. Will crashing activity C meet management’s goal of less than 12 weeks? Why or why not?ACTIVITYDURATION (DAYS)PREDECESSORSESEFLSLFCRITICALA3None0303YESB2None024.56.5C6A3939YESD1.5AB34.56.58E2.5CD911.5911.5YESF3.5D4.58811.5G4EF11.515.511.515.5YES
0A3→3C5→5E7.5→8G12033dp3.525.5dp5.52.58dp8412↘↗↗0B2dp3D4.5dp4.5F8123→31.54.5→4.53.58critical path - ES/EF/LS/LF are the samecrashing activity C after 6 days will only reduce the time to 12 days therefore not being able to accomplish the project in LESS than 12 days