b. What is the critical path? O A-C-D-E-G O A-B-E-G OA-C-D-F-G O A-B-D-F-G c. How many weeks will it take to complete the project?
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- The following activities are part of a project to be scheduled using CPM: ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS) 6 ABCDEFG a. What is the critical path? A A C B, D D E, F Number of weeks A-C-D-F-G OA-B-D-F-G A-B-E-G OA-C-D-E-G b. How many weeks will it take to complete the project? c. How much slack does activity B have? Slack of activity B 724537 weeksPERT/CPM HOMEWORK (MOD 10) In the table below, you will see activities and times associated with each activity. Review the PowerPoint slides in Module 10 , before you start this assignment. Task Preceding Tasks to (optimistic) tm (most likely) tp (pessimistic) A NONE 2 3 10 B NONE 2 3 4 C A 1 2 3 D A 4 6 14 E B 4 5 12 F C 3 4 5 G D,E 1 1 7 1.) Draw the network using the table above. Make sure all 4 values (ES, EF, LS, LF) are listed on the network. 2.) What is the slack for each activity? What is the critical path? Show ALL of your work! 3.) Find the expected project completion time. What is the project variance? 4.) What is the probability that it would be in more than 14 days? Show ALL of your work. *The circle diagram picture is just an example of how it should look it is not apart of the problem in the chartThe 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
- The following activities are part of a project to be scheduled using CPM: IMMEDIATE PREDECESSOR TIME (WEEKS) 8 ACTIVITY B C A A B%media:cm.png% D EXmedia:cm.png% F Number of weeks D a. What is the critical path? O A-B-D-F-G O A-C-D-F-G O A-C-D-E-G O A-B-E-G 4 4 8 2 6 b. How many weeks will it take to complete the project?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 solutionColonial State College is considering building a new multipurpose athletic complex on campus. The complex would provide a new gymnasium for intercollegiate basketball games, expanded office space, classrooms, and intramural facilities. The following activities would have to be undertaken before construction can begin. Activity A B C D E F G H IMG_A2D52FAF8F3D-1.jpeg Activity This answer has not been graded yet. A B с (c) Develop the activity schedule for the project. D Survey building site Develop initial design Obtain board approval E F G Description H Select architect Establish budget Finalize design Obtain financing 0 Hire contractor L L | (a) Draw a project network. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen Immediate Predecessor Earliest Start (b) Identify the critical path. (Enter your answers as a comma-separated list.) 4 A, B с Latest Start с D, E E F, G Time (weeks) 5 5 9 Earliest Finish 13 4 7 15 11 6 9 Latest Finish 4 Slack (d) Does it appear…
- You are in charge of a project at the local community center. The center needs to remodel one of the rooms in time for the start of a new program. Delays in the project mean that the center must rent other space at a nearby church at additional cost. Time and cost data for your project are contained in 7.10. Your interest is in minimizing the cost of theproject to the community center.a. Using the normal times for each activity, what is the earliest date you can complete the project?b. Suppose the variable overhead costs are $50 per day for your project. Also, suppose that the center must pay $40 per day for a temporary room on day 15 or beyond. Find the minimum-cost project schedule.Consider the following project activities with a normal unit: (The normal unit is Day) Activity Name Immediate Predecessor (list number/ name, separated by ‘,’) Normal Time A 6 B A 2 C A 4 D B, C 3 E D 1 F D 7 G E 4 H F, G 2 I F 6 J I 1 K H, J 5 Fill the following table: Activity Name Activity Time Earliest Expected Competition Time (TE) Latest Expected Competition Time (TL) Slack (TL-TE) A 6 B 2 C 4 D 3 E 1 F 7 G 4 H 2 I 6 J 1 K 5 Project Completion Time = Days The Critical Path is=2:30 PM ě 0.3KB/s 1ll 54 4G+ 00:15:12 Remaining Multiple Choice The primary difference between PERT and CPM is that CPM uses probabilities on the activity times and PERT does not. O. PERT considers activity costs and CPM does not. PERT can assign probabilities to activity times and CPM does not. CPM considers activity costs and PERT does not. 5 of 20 II
- Activities/Assessments: Activity 12: Individual Given the activities of a project; their optimistic (t.), most likely (tm) and pessimistic (tp) time estimates; and their immediate predecessors shown below: 1. When is the earliest project completion? 2. Which activities are critical (should not be delayed)? 3. Which activities are noncritical (can be delayed)? 4. How long can each of the activities be delayed without delaying the whole project (maximum slack)? Activity Times, months tp 13 Immediate Maximum Slack, Activities Predecessors to tm te months A 1 4 A 4 7 16 A 2 2 D C 4 6 14 E 1 3 5 F E 13 10 13 H G 7 14 В, D F, H, I I 1 1 J 16 25 M7613Suppose that you are assigned to a construction project which is planned to be build as early as possible. As a planning engineer you have to find the right sequence of activities in order to complete the project on time. Use Gantt (Bar) Chart and calculate total duration and determine the critical path of the project. Immediate Estimated Activity Predecessors Duration A 2 weeks A 4 weeks в 10 weeks D 6 weeks E 4 weeks S weeks 7 weeks 9 weeks 7 weeks 8 weeks 4 weeks E G D E, G F, I K 5 weeks 2 weeks 6 weeks м H N K, L Immediate Predecessor (Finish to Start) Construct Gantt Chart of the project.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.
