ch03ppsol2 - 22 CHAPTER 3 PROJECT MANAGEMENT 3.30 (a) B D A...

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22 CHAPTER 3 P ROJECT M ANAGEMENT 3.30 (a) (b) Activity Time ES EF LS LF Slack ± * A 7 0707 0 2 B 3 71 01 31 6 6 1 C9 7 1 6 7 1 6 0 3 D 4 16 20 25 29 9 1 E 5 16 21 16 21 0 1 F 8 21 29 21 29 0 2 G 8 29 37 29 37 0 1 H 6 37 43 37 43 0 2 Activities on the critical path: A, C, E, F, G, H. Project Comple- tion time ² 43. (b) σ = = = ( ) = ( ) =− ( ) = 48 49 43 125 49 89435 49 1 89435 0 10565 . . . . .. z Pt ³ ´ 3.31 AON Network Critical path is: B µ D, at 13 days Activity Daily Crash Costs Maximum Crash (days) A $100 1 day B 50 2 days C 100 1 day D 150 2 days E 200 3 days To crash by 4 days, from 13 days to 9 days, Crash B by 1 day ($50) to reach 12 days Crash B by a second day ($50) and C by 1 day ($100) to reach 11 days. Crash D by 2 days ($300) and E by 2 days ($400) to reach 9 days total. Total cost to crash 4 days = $900 (b) Expected times and variances: Activity amb Expected Time Variance A 8 10 12 10.0 0.44 B 6 7 9 7.2 0.25 C 3 3 4 3.2 0.03 D 10 20 30 20.0 11.11 E 6 7 8 7.0 0.11 F 9 10 11 10.0 0.11 G 6 7 10 7.3 0.44 H 1 41 51 6 1 5 . 0 0 . 1 1 I 1 11 3 1 1 . 2 0 . 2 5 J 6 7 8 7.0 0.11 K 4 7 8 6.7 0.44 L 1 2 4 2.2 0.25 (c) ES, EF, LS, LF, and slack times: Activity Time ES EF LS LF Slack Critical A 10.0 0.0 10.0 0.0 10.0 0.0 Yes B 7.2 0.0 7.2 22.8 30.0 22.8 No C 3.2 0.0 3.2 19.8 23.0 19.8 No D 20.0 10.0 30.0 10.0 30.0 0.0 Yes E 7.0 3.2 10.2 23.0 30.0 19.8 No F 10.0 30.0 40.0 30.0 40.0 0.0 Yes G 7.3 30.0 37.3 47.7 55.0 17.7 No H 15.0 40.0 55.0 40.0 55.0 0.0 Yes I 11.2 40.0 51.2 50.8 62.0 10.8
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