1By:Prof.Y.PeterChiuProjectManagement~HOMEWORKSOLUTION~2#3(a)(b)CP=>A→B→D→F→G(17)3#3=>Whereisnotneededforsolution,butitistheslacktime.(c)ABCDEFHG01234567891011121314151617184#4A=3B=2E=6P2=0D=4C=5P1=0G=5F=1K=5H=3I=4P3=0J=4031438712347800227788228871271281281381291313161714212717131713171617161717172121*****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-JL-J16171516192020211114*#46#4(c)ActivitiestiESiSFiLSiLFiSlackABCDEFGHIJKL32546153445100033288131317203287891316172171010742128141317127421288131317172117171041040100107CP=B-E-G-I-J?????7#5(a)ActivitiesImmediatePredecessorABCDEFGHI－－ABDA，EDC，F(xiàn)C，F(xiàn)，G8#5(b)ABP1DEGCFP2IH9#6(a)(b)CP=>A→E→G(78)

C→F→G(78)10#6(c)(d){A,B,C,E,F}323077785811#8A=3C=1P=0B=5D=4E=3F=3H=4G=20033338837488888881212891112121215151213161715151717A-B-P-D-F-G12#813=>Whereisnotneededforsolution,butitistheslacktime.#8ABCDEFHG012345678910111213141516171814#817ABDFG3543223221$50125125120100ReduceA3→2costs$50G2→1costs$100Total$150?**CP︰A-B-D-F-GA-B-D-H(a)15#815ABDFGH254314232212

－$125125

120

－

150*Ifweconsider“F”thenwemustconsider“H”alongwith“F”.ReduceBby2Dby1?*(why?)(whynot2?)(refertoGanttChart)(a)16#8(a)cost$125*2(B)$125*1(forD)Total︰$375CP︰A-B-D-F-GA-B-D-HA-B-E-F-GA-B-E-HTimeCPActivitiesCourenttimeExpeditedtimecost12ABDEFGH23333142322212

－

－$12550120

－

15017#8(a)OnecanconsiderD&Efor$175/wkorF&Hfor$270/wk.

＞return$150perweak.(b)ActivityNormalcostABCDEFGH#$20060010065045050050060018#8(b)Directcost$3600for17days.For12daysoptimalprojectscheduleAddAGBD1121$50=50$100=100$125=250$125=125$525Directcost$3600+$525=$4125for12days.Indirectcost$150*12=$1800Totalcosts=$5925.vs.$6150#19#10(a)????20#10(b)ActivitiesABCDEFG－－－AA，BCE，F(xiàn)tiESEFLSLFSlack3221304526282000032323058322130775858780110333230583232307858587801101000CP=A-P1-E-GC-F-G21#10：A-E-G:CP：C-F-G:CP：A-D22#10TimeAct.CurrentExp.-timecost/dy78A-E-GC-F-GACEFG32302628202630202418$50

－

1104075?ReduceGonedaycost$75.CP：A-D*A-E-GC-F-G*23#10TimeAct.CurrentExp.-timecost/dy77A-DA-E-GC-F-GACDEFG323045262819263040202418$50

－

601104075**?ReduceA&Fby4daycost$90*4=$360.24#10TimeCurrentExp.-timecostActivitiesCP73A-DA-E-GC-F-GACDEFG283045262419263040202418$50

－$60$110

－$75DONE﹗Original78dayscost$3300+$100(78)=$11,100Newexpeditedprojectscheduce73days.CostDirectcost+75+360=$3735Indirect73*$100=$7300Total：$11,035.25#18Pr﹛TI≦(25–15)=10﹜=?E(TI)=9.17Var(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=627#19(b)Pr{T≦28weeks|CP=ABEGH}=？Pr{T≦32weeks|CP=ABEGH}=？28#19(c)A→B→E→G→HLength=26.5Σσ2A-B-E-G-H=7.860=>σ=2.804Pr{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︰14

A-D-E︰10B-D-E︰12B-F-G︰15A-F-G︰13(b)B-F-G*(c)30#20(d)A-C-E︰14σ2=4.7B-F-G︰15σ2=5.8(e)A-C-E︰14,σ2=4.7A-D-E︰10,σ2=3.3A-F-G︰13,σ2=5.8B-F-G︰15,σ2=5.8B-D-E︰12,σ2=3.3Pr﹛T

≦20﹜=(.9972)(1.000)(.9982)(.981)(1.000)=0.976#31#20(f)∵A-C-EB-F-GareIndependent∴(d)islikelytobethemostaccurate32#21From#3CP=>A–B–D–F–G

33#21(a)(b)μA-B-D-F-G=17

σ

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==1.037X=18.65(weeks)Ans(d)

35(a)(b)CP=>A→B→D→F→H(41days)#3036(c)Indirectcosts=$200perday0622252731391618#3037(c)ChooseB,reduce4days,from10to6WhenB+D=6+6=12∴CP=ABDFH=37&ACFH=37Cost66.67*4=$266.67Save$200*4=$800#3038(c)B＆C=192；D＆C=225；ChooseF=$110＜$200best

reduceFby2days,from9to7

∴CP=ABDFH=35

ACFH=35ABEG=6+6+9+14=35

cost110*2=$220

save