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- PERT/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 chartProblem Statement: Project Control and Monitoring You are working on a manufacturing project having a budget of PKR 3,600,000 and expected time of its completion is one year. There is an ideal condition that your budget and work are evenly spread across the duration of the project that is twelve month. At the end of forth month, the senior management has called a meeting and invited all the stakeholders to brief about the status of the project. You being the PM of this project is giving the presentation to all the attendees and informed that project is on schedule and PKR 1,800,000 have already been spent on the project. Required: Calculate Cost and Schedule Variance What is SPI and CPI of the project? Estimate at completion and Estimated time to complete?The table below contains data for the installation of new equipment in a manufacturing process a Excello Corporation. Your company is responsible for the installation project. Indirect costs are $10,000 per week, and a penalty cost of $9,000 per week will be incurred by your company for every week the project is delayed beyond week12. Activity Immediate Predecessor(s) ABCDEFG long dash- long dash- ABCDEFG A B C D, E E Normal Time Crash Time Normal Cost Crash Cost (weeks) (weeks) ($) ($) 1 14,000 2 3,000 1 40,000 3 22,000 1 8,000 4 13,000 2 16,000 3234 1 6 63 7,000 3,000 12,000 12,000 8,000 5,000 9,000 a. What is the shortest time duration for this project regardless of cost? (Enter your response as a whole number.) b. What is the minimum total cost associated with completing the project in 12 weeks? C. What is the total time of the minimum cost schedule? (enter your response as whole numbers). The total project's duration according to minimum cost schedule is? The minimum cost schedule…
- You have been assigned a project and in your preliminary planning you have developed table 2 below, it outlines eight activities (A to H) that must be completed. For each activity you have obtained the estimated duration, cost per day and the prior task(s). Activity A B с D E F G H Z Duration (days) 3 4 12 6 16 15 Cost/week ($) 2500 6000 3000 10000 15000 10000 7 8 0 Prior Tasks None B, D C, E E, F,G 0 All *Assume that there are five (5) workdays in each week Table 2 2000 2500 A A, B A, B D Using the information provided: a) Create a network diagram for the project. b) Construct a Gantt Chart for the project. c) Determine the minimum time in which the project can be completed. 1The 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?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 solution
- A T= 4 T= 3 F T= 3 T= 3 D E G T= 1 T= 2 T= 2 The network diagram of a project along with the activity durations (T) is given in the figure. Which activities form one of the critical paths? @orsdemir. Copyrighted Content. Cannot be posted. CDEG O ABF О СВF O CF O None of theseNB: Answer all the questions within 30 mins Table 1 Activity Predecessor Duration (weeks) A - 5 B A 4 C A 5 D B 6 E C 3 F D, E 4 Use Table 1 to calculate the following: Draw the resultant Gantt chart. Construct the PERT/CPM chart for the tasks as they appear in Table 1.[1] HINT: Do not forget the Start Date and Finish Date for each task. Indicate at minimum three dependent task patterns. Indicate all the multiple successor tasks. Indicate all the multiple predecessor tasks. Show the critical path of this project. Justify why the given critical path is valid.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
- Suppose 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.scenarios of a project activities (tables given below) and their required times to be completed in addition to their predecessors for developing a Website' : Activity Description Duration (days) Preceding Activities A Determine user needs 8 Review s/w and languages Purchase software 10 Design format and style 10 E Write programs A F Review outcome product with user 12 G Make revisions 4 C H Select server site E I Install on server 14 D, F Test G, H, I 3. Highlight the total time to complete the project (days) 4. Calculate the late finishing time (backwards calculations)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