# Management Science Problems

Jul 16th, 2016
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Jean Walker is making plans for spring break at the beaches in Florida. In applying techniques she learned in her quantitative methods class, she has identified the activities that are necessary to prepare for her trip. The following table lists the activities and the immediate predecessors. Draw the network for this project. Activity Immediate Predecessors A B A C A D B E C,D F A G E,F The following are the activity times for Jean Walkers activities. Find the earliest, latest, and slack times for each activity. Then find the critical path. Activity Time (in days) A 3 B 7 C 6 D 2 E 5 F 8 G 4

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Q1Jean Walker is making plans for spring break at the beaches in Florida. In applying techniques sheidentified the activities that are necessary to prepare for her trip. The following table lists the activfor this project.ActivityABCDEFGImmediatePredecessorsAABC,DAE,FThe following are the activity times for Jean Walkers activities. Find the earliest, latest, and slack times for each actiActivityABCDEFGTime (in days)3762584Earliest finish time = Earliest start time + Expected activity timeEF=ES+tEarliest start time = Largest of the earliest finish times of immediate predecessorsi.eES = Largest EF of immediate predecessorsInitial Start time activity A is 0ES at activity A = 0Latest start time = Latest finish time-Expected activity time.LS=LF-tLatest finish time = Smallest of latest start times for following activitiesLF=Smallest LS of following activities.For activity G, LS = EF ( at activity G)Below is the computed ES, EF, LS, and LF for the activities.ActivityABCDEFGTime (in days)3762584ES0331012317EF310912171121LS0361012917LF3101212171721Slack time = LS-ES or LF-EFIdentify the activities with no Slack time. I.e. Slack time =0Activities A, B, D, E, and G have no slack time. So these are the critical activities.Then find the critical path.Critical path is ABDEGTotal completion time is 21 days.Slack0030060In applying techniques she learned

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