Norton Industries is installing a new computer system. The activities, the activity times, and the project network are as follows.ActivityTimeAB6.2D54.F33A.EFStartHFinishDBGThe critical path calculation shows B-D-E-F-H is the critical path, and the expected project completion time is 21 weeks. After viewing this information, management requested overtime be used to complete the project in 16weeks. Thus, crashing of the project is necessary. The following information is relevant.Time (weeks)Cost ($)ActivityNormalCrashNormalCrashA319001,700B6.32,0004,10025001,000D31,8002,400E431,5001,850F313,0003,9008,0009,80031,0002,000(a) Formulatelinear programming model that can be used to make the crashing decisions for this project. (The objective function should be the additional cost of crashing. Let x; = the finish time for activity i and y; =the amount of time activity i is crashed where i = A, B, C, D, E, F, G, and H.)Mins.t.constraint Aconstraint BC depends on AD depends on CD depends on BE depends on DF depends on EG depends on CG depends on BH depends on GH depends on Ffinish time for Hmaximum crashing for Amaximum crashing for Bmaximum crashing for Cmaximum crashing for Dmaximum crashing for Emaximum crashing for Fmaximum crashing for Gmaximum crashing for H(b) Solve the linear programming model and make the minimum cost crashing decisions. What is the amount of crash time (in weeks) for each activity?ActivityCrash TimeABDWhat is the added cost (in dollars) of meeting the 16-week completion time?(c) Develop a complete activity schedule based on the crashed activity times.EarliestFinishEarliestLatestCriticalActivityLatestFinishSlackStartStartActivityA|---Select- vB|---Select- v|--Select- vD|--Select- v--Select- v--Select-- v--Select- v--Select- v

Crashing an activity is basically adding more assets toward an activity so it tends to be finished…

Answered: Norton Industries is installing a new…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Development of Version 2.0 of a particular accounting software product is being considered by Jose Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following table: Normal Crash Activity Time (weeks) Time (weeks) A B 3 1 3 4 3 2 2 a) Based on the given information regarding the activities for the project, the project length с D E F G 2 8 6 Normal Cost $2,100 $2,300 $500 $2,400 $900 $3,400 $1,600 weeks Total Cost with Crashing Immediate Predecessor(s) $2,700 $3,000 $500 $2,700 $1,350 $4,900 $2,200 С D, E
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Norton Industries is installing a new computer system. The activities, the activity times, and the project network are as follovs. Activity Time A 3 6 2 D 5 4 3 G 3 A E Start H Finish D B G