StDavid’s2ShoppingCentreAProjectCaseStudy“StDavid’s2”ShoppingCentreQuestion1.Drawaprojectnetworkdiagramofthisproject.Determinetheshortesttimetocompletetheproject.Identifythecriticalactivities.TaskIDTaskDescriptionDuration(Months)Cost(£Millions)PrecedenceAPlanningandConsultation912-BServiceDiversions915ACHighwaysEnabling310BDAppointMainContractor34AECPOInquiry312AFObtainGovernmentApproval32EGConstructJohnLewisStore2436C,D,FHDemolition1280C,D,FIMainSchemeConstruction30210HJRefurbishmentofStDavid’sCentre3050C,D,FKLibraryConstruction2170C,D,FLJohnLewisFit-out159GMMainSchemeFit-out325INLibraryFit-out1216KOResidentialHomes1292HPPublicRealm328IQOpening34L,M,NProjectNetworkDiagramActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis69months.Question2.ConverttheprojectdiagraminaGanttChart.Schedulethenon-criticalactivitiesaslateaspossible.GanttChartQuestion3.Determinethemostcosteffectivewaytocompletethisprojectwithin56monthsgiventhefollowinginformationTaskIDTaskDescriptionNormalDuration(Months)NormalCost(£Millions)CrashDuration(Months)CrashCost(£Millions)APlanningandConsultation912--BServiceDiversions915621CHighwaysEnabling310215DAppointMainContractor34--ECPOInquiry312--FObtainGovernmentApproval32--GConstructJohnLewisStore24361260HDemolition12801094IMainSchemeConstruction3021024270JRefurbishmentofStDavid’sCentre30501868KLibraryConstruction217014105LJohnLewisFit-out159915MMainSchemeFit-out325250NLibraryFit-out1216622OResidentialHomes12926122PPublicRealm328235QOpening34--CrashcostNormalcostCosttocrashbyoneperiod=NormaltimeCrashtimeTaskIDNormalDuration(Months)NormalCost(£Millions)CrashDuration(Months)CrashCost(£Millions)CrashtocostbyonemonthA912---B9156212C3102155D34---E312---F92---G243612602H128010947I302102427010J305018681.5K2170141055L1599151M32525025N12166221O129261225P3282357Q34---Step1.StDavid’sin68monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis68months.CrashactivityBoneperiodto8periodsforacostof£2M.Step2.StDavid’sin67monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis67months.Theaccumulatedprojectcrashcostisnow£4M.CrashactivityBoneperiodto7periodsforacostof£2M.Step3.StDavid’sin66monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis66months.Theaccumulatedprojectcrashcostisnow£6M.CrashactivityBoneperiodto6periodsforacostof£2M.Step4.StDavid’sin65monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis65months.Theaccumulatedprojectcrashcostisnow£11M.CrashactivityConeperiodto2periodsforacostof£5M.Step5.StDavid’sin64monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis64months.Theaccumulatedprojectcrashcostisnow£18M.CrashactivityHoneperiodto11periodsforacostof£7M.Step6.StDavid’sin63monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis63months.ActivityHwascrashedoneperiodto10periodsforacostof£7M.Theaccumulatedprojectcrashcostisnow£25M.CrashactivityHoneperiodto10periodsforacostof£7M.Step7.StDavid’sin62monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis62months.Theaccumulatedprojectcrashcostisnow£35M.CrashactivityIoneperiodto29periodsforacostof£10M.Step8.StDavid’sin61monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis61months.Theaccumulatedprojectcrashcostisnow£45M.CrashactivityIoneperiodto28periodsforacostof£10M.Step9.StDavid’sin60monthsActivitiesA,B,C,H,I,MandQarecritical.Theprojectdurationis60months.Theaccumulatedprojectcrashcostisnow£55M.CrashactivityIoneperiodto27periodsforacostof£10M.Step10.StDavid’sin59monthsActivitiesA,B,C,H,I,M,Q,GandLarecritical.Theprojectdurationis59months.Theaccumulatedprojectcrashcostisnow£65M.CrashactivityIoneperiodto26periodsforacostof£10M.Step11.StDavid’sin58monthsActivitiesA,B,C,H,I,M,Q,GandLarecritical.Theprojectdurationis58months.Theaccumulatedprojectcrashcostisnow£76M.CrashactivityIoneperiodto25periodsforacostof£10MandcrashLoneperiodforacostof£1M.Step12.StDavid’sin57monthsActivitiesA,B,C,H,I,M,Q,GandLarecritical.Theprojectdurationis57months.Theaccumulatedprojectcrashcostisnow£87M.CrashActivityIoneperiodto26periodsforacostof£10MandcrashLoneperiodforacostof£1M.Step13.StDavid’sin56monthsActivitiesA,B,C,H,I,M,Q,GandLarecritical.Theprojectdurationis56months.Theaccumulatedprojectcrashcostisnow£113M.CrashactivityMoneperiodto2periodsforacostof£25MandcrashLoneperiodforacostof£1M.Thecrashcost–projectdurationtrade-off