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

Section: Chapter Questions

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

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Given the following table, construct a network diagram, either AOA or AON. Times are in days.a. Determine the expected duration of the project.b. Compute the probability that the project will take at least 18 days.Path Activity Time EstimatesA 4-5-6Top B 7-8-10C 3-5-9D 7-8-11Bottom E 2-3-4F 1-4-6
You are provided with the following information for a project, with activity durations given in weeks: Activity Immediate Optimistic Most Likely Pessimistic Predecessor Time (a) Time (m) Time (b) A ____ 2 3 4 B ____ 2 4 6 C A 1 2 3 D B 3 6 9 E C, D 7 8 9 F D 4 7 10 G E 3 4 5 H E, F…
A solved PERT problem is detailed in the table below. The expected time and variance values and the critical activities are given in the table below. Answer the following questions by filling the blanks (WRITE YOUR ANSWERS TO 2 DECIMAL PLACES. DO NOT ROUND UP OR DOWN): a. The expected project completion time for this problem is and the standard deviation is . b. There is a 0.95 probability that the project will be completed by weeks. Activity Expected time Variance Critical? A 10 0.36 Yes B 7 0.11 No C 7 0.25 No D 3 0.48 Yes E 5 1.60 Yes F 7 0.69 No G 2 3.69 Yes
A project has the activity duration and cost information indicated in the table where all times are in weeks. What is the total cost for completing this project in 50 days? Activity Predecessor Normal Time Normal Cost Crash Time Crash Cost A -- 8 $12,000 5 $21,000 B A 12 $20,000 9 $30,000 C A 15 $24,000 10 $60,000 D B 3 $10,000 2 $15,000 E C 9 $17,000 6 $34,000 F E 7 $5,000 6 $6,000 G D 8 $14,000 6 $20,000 H A 12 $22,000 10 $30,000 I H 6 $50,000 5 $55,000 J F, G, I 11 $33,000 9 $50,000
Your company has just received an order from a good customer for a specially designed electric motor. The contract states that, starting on the 13th day from now, your firm will experience a penalty of $100 per day until the job is completed. Indirect project costs amount to $200 per day. The data on direct costs and activity precedence relationships are given in Table. Electric Motor Project Data Activity Normal Time(days) Normal Cost ($) Crash Time (days) Crash Cost ($) ImmediatePredecessor(s) A B C D E F G H 4 7 5 6 3 11 4 3 1000 1400 2000 1200 900 2500 800 300 3 4 4 5 2 6 3 1 1300 1200 2700 1400 1100 3750 1450 500 None None None A B C D,E F,G a. Draw the project network diagram.b. What completion date would you recommend?
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Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s)A 7 - E 4 BB 8 - F 7 BC 4 A G 11 C, ED 1 A H 6 D , F Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A 0 7 B 0 8 C 7 11 D 7 88 E 8 12 Part 7 F ? ? G ? ? H ? ?
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A project consists of five activities listed below. The project network is shown for the activities. The critical path is B-C-E and the expected completion time is 8. Optimistic Most Probable Pessimistic Activity Time (hr) Time (hr) Time (hr) A Floor sanding 3 4 5 B Paint mixing 0.5 1 1.5 C Ceiling painting 1 5.5 7 D Wall painting 1 2 9 E Floor buffing 1 2 3 What is the probability that the project can be completed within 9 hr.?
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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