Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- #3) Consider the following project, all durations are in days. Construct a precedence diagram, find the critical path and which tasks have slack and how much each has. Which tasks would you recommend crashing to reduce the project duration by six days assuming that it costs the same to crash each task and no task by be crashed to more than half its original duration and tasks A and N cannot be crashed at all? Task Predecessors Most Likely Duration A - 8 B A 12 C A 6 D A 12 E B 10 F E 7 G C 18 H C 13 I G 10 J H 13 K D 10 L K 11 M L 7 N F, I, J, M 4 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forwardA project has activities, durations, costs, and precedence relationships as shown in the following table. Accelerated Duration (Weeks) Immediate Predecessor Path A-C-E A-D-H-I B-F-H-I Activity B-G-I A B с D E F GJ H I Present Duration (Weeks) Project is reduced from Activity Crashed (1 week) Additional Cost for Crashing 8 13 8 18 13 15 10 7 5 $ to B B 7 I 11 4 16 8 13 8 6 4 $14,000 Develop a time-cost trade-off analysis. Detail the steps that you would use to accelerate or crash the project to its minimum duration at the lowest cost. Determine each step's cost and the duration of the project. Length of Path (weeks) H D, F A weeks at an additional cost (in $) of $ A U B B D, F G, H Present Cost D, F $11,000 $20,000 $9,000 $25,000 $20,000 $20,000 $15,000 $12,000 $10,000 Accelerated Cost $16,000 $26,000 $21,000 $29,000 $34,000 $31,000 $24,000 $17,000arrow_forwardProject Managementarrow_forward
- Project Managementarrow_forward9. A project has the following activities, with specified precedents, expected durations (in days), and crash cost/day. Each activity can be crashed to a minimum duration of 1 day. (This is the same network as a previous problem.) What is the minimum total cost to shorten the project by 2 days? Round your answers to 2 decimals. Activity Precedent Duration Crash cost/day A - 3 $350 B A 3.8 $250 C A 6 $400 D B 6 $150 E B 4.1 $200 F C 4 $275 G D 6.2 $500 H E 8 $300 Answer:arrow_forwardblä 8 Q2/ By using PERT Method, Solve the ? following Q2/ For the project described in table below, assume that the activity durations are approximately normally distributed. Determine the probability to complete this project in (15 weeks). Activity Path m b a A (1,2) 1 2 В (2,3) 2 4 C (2,4) 1 3 D (4,5) 2 5 8 E (1,5) 2 4 F (5,6) 1 2 Note that the activity (3,4) is a dummy activity. 3. 3.arrow_forward
- Good day may I have some help with part D and E in the attached picarrow_forwardActivity ADEIF А H 4. A construction company planned for a new project and represented the tasks of the project as a list of immediate predecessors, estimated duration (best, most likely, worst) as follows: Estimated duration (best-most likely-worst) in weeks G B I J K с M N O End immediate predecessors A D E A F LL B J с M N H,G,K,O 2-4-6 6-8-10 7-9-12 Earliest Start 2-3-5 3-4-8 5-7-9 2-2-3 2-3-6 3-4-5 4-5-8 5-8-12 1-1-1 6-7-11 8-9-13 a. Draw a network diagram (activity on node), compute the earliest start and finish times of each task using most likely values. b. Compute the latest start and finish times of each task fill the rest of the values in a table format as follows: Activity Earliest Finish Latest Start Latest Finish Slack Is critical? C. If the project is finished within 27 weeks of its start, the project manager will receive a bonus of 500$. Find the probability of getting the bonus.arrow_forwardi need 4,5,6arrow_forward
- U2arrow_forwardThe following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activition nach must precede and the orash cost to reduce duration per week Crash Cos/Week ITI Duration (weeks) Activity A (start) Precedes B, C $370 B. 2. $120 $240 4. F (end) $140 $400 Suppose that Rafay is only given 8 weeks (instead of 10) to complete the project By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Each Activity Should be Reduced Activity BY (weeks) week(s) week(s) woek(s) wook(s) week(s) What is the total crashing cost? $ (Enter your response as a whole number)arrow_forwardA project has three critical paths: A-B-C-D-E, A-G-H-E, and A-F-I-E. Crashing costs (in thousands, per week) for each activity is listed below: Activity Crashing Crashing Crashing 1st time 2nd time 3rd time 37 1 27 4. C 26 2 8 39 4. F 28 29 2 G 27 25 H. 8. 3 What is the total cost of reducing this project by two weeks? а. 44 b. 76 C. 48 d. 50 e. 34 2] 4, O'Oarrow_forward
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