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- blä 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.The expected times and variances for the project activities are given below, critical path is A-D-F-H. What is the probability of the completing the project in 29 periods? ID Description A B C D E LL G H Pilot production Select channels of distribution Develop program Test market Patent Full production Ad promotion Release 40% 50% 70% 60% Predecessor None None None A A D B.E.F.G 6 7 4 4 10 16 3 2 Variance [(b-a)/6]2 3 4 2 2 5 10 2 1Q3) A small project consisting of eight activities has the following characteristics: Time-Estimates (in weeks) Afest apostle dime (2) Activity ABCDEFGH (a) Draw the network for the project. (b) Determine the critical path. (c) Calculate the variance of the project. -Preceding ectivity None None A A A B.C D EFO N22rann 10 10 7 3 Most likely dime (m) 4 12 9 15 75 9 3.5 5 Most Pesshmestle alme (D) AR2R=an 12 26 10 11
- O O D 40 4 22:31 photo_2021-02-2... O By using Bar chart planning method, find the following: - Total duration for the project activities shown below - The project completion date (assume the start date is 1/3/2012 Activity A В CDEF GHIJ Duration 8 28 4 6. 4 5 6 (days) Following C,DEFGH Activity * If the project shown above had a delay of (4 days after (13working days), what would its new delivery date be? 7. 5,Project Overhead cost $600/day Activity Normal Duration Crash Duration Crash Cost per Day Predecessor Normal Cost A 2 1,200 A. 15 4 1,800 600 C B 6 1,700 400 7 1,500 700 E C,D 4 3 1,900 500 1. What is the duration for the project for the lowest total cost? 2. What is the shortest duraton possible for this project? What is the total cost for the shortest duration? 4. B.Ql: For the project listed below, find the following items: 1- Total project finishing time, 2- Critical path 3- Free float for each task. 4- If Activity B is delayed by 7 weeks. As a project manager explains how this will affect the total project critical path. Dependency or Predecessor Activity الفعالية Duration in Weeks المدة بالأسابيع Activities الاعتمادية او الفعاليات السابقة C 6. 4 3 A 7 С, В, Р U 4 T 2 A 3 A 6. U
- Start 10 16 18 20 Weeks after start 4. For each of the following network diagrams, determine both the critical path and the expected project duration! The numbers on the arrows represent expected activity times. a) AOA (Activity-On-Arrow) diagram 5 9 2 10 3 7 8 12 10 3 11 BM HL Assignment 1- Due Date 24 March 2022 b) AON (Activity-On-Node) Diagram 3 18 4 10 6 5 13 2 11 c) AOA (Activity-On-Arrow) Diagram 14 13 5 12 6 15 14 13 ן1 3 16 13 14 15 8. 11 10The expected times and variances for the project activities are given below, critical path is A-D-F-H. What is the probability of the completing the project in 31 periods? ID A B C D E F G H Description Pilot production Select channels of distribution Develop program Test market Patent Full production Ad promotion Release 55% 77% 88% 66% Predecessor None None None A A D C B,E,F,G 6 7 4 4 10 16 3 2 Variance [(b-a)/6]2 3 4 2 2 5 10 2 11. Draw AOA network and Find the project duration.
- Activity A D E H F G B I J 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 K с M N O End immediate predecessors a. A D E A FL B I J C M N H,G,K,O 2-4-6 6-8-10 7-9-12 2-3-5 3-4-8 Earliest Start 5-7-9 2-2-3 2-3-6 3-4-5 4-5-8 5-8-12 1-1-1 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 6-7-11 8-9-13 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.The following table shows estimates of activity times (in weeks) for a project: Optimistic Time 5 Activity A B с D EFG 1 4 5 6 2.5 7.5 Most Probable Time 5.5 3 5 5.5 7 b. What is the probability that the project will be completed within 31 weeks? 3 8.5 Suppose that the critical path is A-C-D-E-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places. a. What is the probability that the project will be completed within 34 weeks? d. What is the probability that the project will be completed in 33 weeks? C. What is the probability that the project will be completed in more than 32 weeks? Pessimistic Time 9 5 6 9 8 3.5 12.5Project management (1) Consider the following project: Activity A B CDELI F G H Immeadiate Predecessors Multiple Choice A A B C B, C D, E C Which one of the following would expedite the project? Expediting B by 1 week Expediting F by 1 week Expediting D by 2 weeks Durations (weeks) 4 Expediting E by 2 weeks 3 NW ∞0 W|| N| W 2 3 8 3 7 2