1 By Prof Y PeterChiu ProjectManagement HOMEWORKSOLUTION 2 3 a b CP A B D F G 17 3 3 Where isnotneededforsolution butitistheslacktime c A B C D E F H G 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 4 4 A 3 B 2 E 6 P2 0 D 4 C 5 P1 0 G 5 F 1 K 5 H 3 I 4 P3 0 J 4 0 3 1 4 3 8 7 12 3 4 7 8 0 0 2 2 7 7 8 8 2 2 8 8 7 12 7 12 8 12 8 13 8 12 9 13 13 16 17 14 2 12 7 17 13 17 13 17 16 17 16 17 17 17 21 21 5 a A B CADAEBFC DGD EHF GIF GJH I K LKBL b A C F H JA C F I JA D F H JA D F I JA D G H JA D G I JB E G H JB E G I JB K J L J 16171516192020211114 4 6 4 c Activities ti ESi SFi LSi LFi Slack ABCDEFGHIJKL 3254615344510 003328813131720 32878913161721710 10742128141317127 42128813131717211717 1041040100107 CP B E G I J 7 5 a Activities ImmediatePredecessor ABCDEFGHI ABDA EDC FC F G 8 5 b A B P1 D E G C F P2 I H 9 6 a b CP A E G 78 C F G 78 10 6 c d A B C E F 32 30 77 78 58 11 8 A 3 C 1 P 0 B 5 D 4 E 3 F 3 H 4 G 2 0 0 3 3 3 3 8 8 3 7 4 8 8 8 8 8 8 8 12 12 8 9 11 12 12 12 15 15 12 13 16 17 15 15 17 17 A B P D F G 12 8 13 Where isnotneededforsolution butitistheslacktime 8 A B C D E F H G 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 14 8 17 ABDFG 35432 23221 50125125120100 Reduce A3 2costs 50G2 1costs 100 Total 150 CP A B D F GA B D H a 15 8 15 ABDFGH 254314 232212 125125120 150 Ifweconsider F thenwemustconsider H alongwith F Reduce Bby2Dby1 why whynot2 refertoGanttChart a 16 8 a cost 125 2 B 125 1 forD Total 375 CP A B D F GA B D HA B E F GA B E H Time CPActivities Courenttime Expeditedtime cost 12 ABDEFGH 2333314 2322212 12550120 150 17 8 a OnecanconsiderD Efor 175 wkorF Hfor 270 wk return 150perweak b Activity Normalcost ABCDEFGH 200600100650450500500600 18 8 b Directcost 3600for17days For12daysoptimalprojectschedule Add AGBD 1121 50 50 100 100 125 250 125 125 525 Directcost 3600 525 4125for12days Indirectcost 150 12 1800 Totalcosts 5925 vs 6150 19 10 a 20 10 b Activities ABCDEFG AA BCE F ti ES EF LS LF Slack 32213045262820 00032323058 32213077585878 011033323058 32323078585878 01101000 CP A P1 E GC F G 21 10 A E G CP C F G CP A D 22 10 Time Act Current Exp time cost dy 78 A E GC F G ACEFG 3230262820 2630202418 50 1104075 ReduceGonedaycost 75 CP A D A E GC F G 23 10 Time Act Current Exp time cost dy 77 A DA E GC F G ACDEFG 323045262819 263040202418 50 601104075 ReduceA Fby4daycost 90 4 360 24 10 Time Current Exp time cost Activities CP 73 A DA E GC F G ACDEFG 283045262419 263040202418 50 60 110 75 DONE Original78dayscost 3300 100 78 11 100 Newexpeditedprojectscheduce73days CostDirectcost 75 360 3735 Indirect73 100 7300 Total 11 035 25 18 Pr TI 25 15 10 E TI 9 17 Var TI 4 69 Pr Z 0 383 0 50 0 1492 0 649 P 530 26 19 a BylnspectionCP A B E G H 25 E 6 27 19 b Pr T 28weeks CP ABEGH Pr T 32weeks CP ABEGH 28 19 c A B E G HLength 26 5 2A B E G H 7 860 2 804 Pr Z 0 535 0 7037 70 37 Pr Z 1 962 0 9751 97 51 Pr T Xweeks CP ABEGH 95 1 645 X 31 11weeks Z 29 20 a AllPATHS A C E 14A D E 10B D E 12B F G 15A F G 13 b B F G c 30 20 d A C E 14 2 4 7B F G 15 2 5 8 e A C E 14 2 4 7A D E 10 2 3 3A F G 13 2 5 8B F G 15 2 5 8B D E 12 2 3 3 Pr T 20 9972 1 000 9982 981 1 000 0 976 31 20 f A C EB F G areIndependent d islikelytobethemostaccurate 32 21 From 3 CP A B D F G 33 21 a b A B D F G 17 2A B D F G 2 52 Ans b 34 21 c Pr T 20weeks CP A B D F G Pr Z 1 89 Pr T Xweek 85 0 9706 Ans c d Z 1 037 X 18 65 weeks Ans d 35 a b CP A B D F H 41days 30 36 c Indirectcosts 200perday 0 6 22 25 27 31 39 16 18 30 37 c ChooseB reduce4days from10to6WhenB D 6 6 12 CP ABDFH 37 ACFH 37 Cost66 67 4 266 67Save 200 4 800 30 38 c B C 192 D C 225 ChooseF 110 200best reduceFby2days from9to7 CP ABDFH 35 ACFH 35 ABEG 6 6 9 14 35 cost110 2 220 save 200 2 400 30 39 c B C 192 200by2day cost192 2 384save200 2 400 Totalcosts 266 67 220 384 870 67 Savings 800 400 400 1600 Netsavings 729 23 30 40 A B D F H 41 200 600 625 700 200 400 1000 1100 200 41 13 025 OriginalDirect 4825Indirect 200 41 OriginalCosts 13 025 30 41 30 ExpeditedCosts Original 4825 ExpeditedCosts 267 4 B 220 2 F 3842 B C 871 IndirectCosts 200 33 6600 12 296 Netsavings 729 Timesaved41 33 8 days 42 TheEnd