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number 2 PERT, pls answer a-c.
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- 2. A company is faced with the following PERT network situ ation for a certain project (time in days): A 13 - 20 -17 2 -4 -6 Start 5-8 - 11 8 - 10 - 12 6-8-16 2- 12-22 9-12 -15 REQUIRED: a. Detemine the expected time (t,) for each activity. b. Identify the critical path(s) c. Whatis the shortest time to complete the entireproject?PERT-CPM 1. Consider a project involving the following activities and precedence relationship. The cost of each activity is listed. The following activity time estimates have been provided for a preparation involving an MIS project. a. Draw the AON and AOA Diagram. b. Perform a Program Evaluation and Review Technique (PERT) to determine the expected total duration of the project. [Note: Use the diagramming convention agreed in class and tabulate the results for each activity's ES, EF, LS, LF, slack time and indication if it's in the critical path Note: Expected (Ave Time) = (0ptimistic Time + 4*Most Likely Time + PessimisticTime) / 6 = ( OT + 4MLT + PT ) / 6 c. If the project exceeds 11 weeks, there is an additional miscellaneous costs around Php 30,000. Will the company opt to speed up the project? Activity Predecessors Optimistic Most Pessimistic Crash Normal Crashed Likely Time Cost Cost A 2 4 6. 2 11,000 6,000 3,000 7,000 4,000 13,000 9,000 4,000 5,000 3,000 3 17.000 В 1 3 5 1…The following activities are part of a project to be scheduled using CPM: TIME (WEEKS) 7 6 ACTIVITY IMMEDIATE PREDECESSOR A BCDEFG O A-C-D-E-G O A-B-E-G O A-C-D-F-G O A-B-D-F-G AACB A Number of weeks A b. What is the critical path? B, D D E, F 24346 c. How many weeks will it take to complete the project?
- Activity A B CDEFG 3. You have been appointed as the project leader of a project to be undertaken by your company. You have identified the following tasks and made the time estimates for each task as listed in the table below: с Preceding "from" activity A A A B,C C,D,E F Succeeding "to" activity B,C,D E E F F G Estimated duration work days) 3 5 3 10 8 14 7 a) Use the above table to construct a project network diagram. b) Determine the critical path for the project and its duration.1- The network below represents a project being analyzed by Critical Path Methods. Activity durations are A = 5, B =2, C = 12, D = 3, E = 5, F = 1, G = 7, H = 2, I= 10, and J= 6. E Start 10 a. What task must be on the critical path, regardless of activity durations? b. What is the duration of path A-B-E-H-J? c. What is the critical path of this network? d. What is the length of the critical path? e. What is slack time at activity H? f. What is the Late Finish of activity H? g. If activity C were delayed by two time units, what would happen to the project duration? 2- Three critical path activities are candidates for crashing on a CPM network. Activity details are in the table below. 27°C Mostly s... ^ O )The following represents a project that should be scheduled using CPM: IMMEDIATE PREDECESSORS ACTIVITY A ABCDEFGH B-E-G-H b. What is the critical path? A-C-F-H OA-D-F-H A-D-G-H A A B C,D D, E F,G Project completion time a LLL23312 TIMES (DAYS) m •WNNW: 3 2 2 3 4 4 4 4 b 5 3 3 4 11 c. What is the expected project completion time? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. days 565
- Roger Ginde is developing a program in supply chain management certification for managers. Ginde has listed a number of activities that must be completed before a training program of this nature could be conducted. The activities, immediate predecessors, and times appear in the accompanying table: a. the critical activities for the leadership training program development project are: _____ b. the project length for the leadership training program development project= __ days. c. Slack time for each of the activities is: Activity: Slack time: A ______ B ______ C ______ D ______ E ______ F ______ G ______Humber Web Design Co. is organizing a new project to increase efficiency and improve relations with their clients. The project manager for this initiative has broken the project up into several parts as follows: Activity Activity Description Immediate Predecessor Activity time (days) A Identify Client Base ― 44 B Develop Client Prospectus ― 35 C Perform Design Analysis ― 46 D Program Back End A, B, C 43 E Program Front End A 27 F Project Consolidation D, E 36 (a) For the given project, fill in the nodes of the network diagram below. A E 44 27 Start B D F Finish Time 35 43 36 Time C 46 (b) Using the network diagram, fill in the table. Make sure that you put the values in the appropriate columns. Activity Earliest Start (ES) Latest…The following represents a project that should be scheduled using CPM: ACTIVITY A B C D E F G H IMMEDIATE PREDECESSORS A A B C, D D, E F,G b. What is the critical path? ⒸA-D-G-H OB-E-G-H ⒸA-C-F-H A-D-F-H Probability TIMES (DAYS) b Project completion time a 1 1 2 1 1 3 1 2 m 2 2 2 8 2 4 3 3 6 9 11 9 3 c. What is the expected project completion time? Note: Do not round intermediate calculations. Round your answer to 3 decimal places. 11 11 11 X Answer is not complete. days d. What is the probability of completing this project within 19 days? Note: Use Excel's NORM.S.DIST function to find the correct probability for your computed Z value. Do not round intermediate calculations. Round Z value to 2 decimal places and final answer to 4 decimal places.
- The information in the table below is available for a large fund-raising project. Activity Activity Times (days) Activity Cost ($) Immediate Predecessor A 3 100 None B 4 150 None C 2 125 A D 5 175 B E 2 150 B F 4 200 C, D G 6 75 C H 2 50 C, D, E I 1 100 E J 4 75 D, E K 5 350 F, G L 3 150 G, H, I M 4 400 I, J N 4 175 K, M O 1 200 H, M P 5 150 N, L, O Draw the precedence network diagram. Perform the CPM (Critical Path Method) and give the complete activity schedule table, the project completion time, and the critical path. Plot on the same graph the total project costs per day, starting from day one to the completion date, assuming the earliest start times and then assuming the latest start times. What implications does the time differential have for cash flows and project scheduling? Show step by step solutionHumber Web Design Co. is organizing a new project to increase efficiency and improve relations with their clients. The project manager for this initiative has broken the project up into several parts as follows: Activity Activity Description Immediate Predecessor Activity time (days) A Identify Client Base ― 33 B Develop Client Prospectus ― 21 C Perform Design Analysis ― 35 D Program Back End A, B, C 47 E Program Front End A 13 F Project Consolidation D, E 11 (a) For the given project, fill in the nodes of the network diagram below. A E 33 13 Start B D F Finish Time 21 47 11 Time C 35 (b) Using the network diagram, fill in the table. Make sure that you put the values in the appropriate columns. Activity Earliest Start (ES) Latest…1. Data for a simplified PERT network are given below: a. Set up a table and calculate Early Event Times (TE), Late Event Times (TL), Activity Free Slack (AFS), and Activity Total Slack (ATS). b. Determine the PERT "critical path(s)" and the mean and standard deviation for the project duration. c. Determine the probability of completing the project in 25 days or less. d. Determine that the project will take 27 days or more. e. Determine the probability of reaching event 35 in 20 days or less. Time Estimates (days) i АСТ b a m 10 A 1 3 5 15 B 2 5 10 20 C 4 7 10 25 E 8. 10 12 IP F 15 25 15 30 4 8 9. 20 35 G 5 7 14 25 35 L 7 10 16 30 35 d2 30 40 12 35 45 N 1 3 7 40 45 P 3 5 7