(a) Calculate the expected activity duration (t.), standard deviation (0) and variance ( for each activity. Assuming that the critical Path is B-E-F = 18 months (refer to Appendix A1 and A2 - Areas under the standard normal curve) i. What is the probability of completing the project in 19 months? (nearest estimated number) (b) ii. What is the probability of completing the project in 17 months? (nearest estimated number)
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- Question 2 Problem 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?Question 2 Table 3 gives time estimates in weeks for each activity (Durations are Time Expected obtained using PERT) 1 Order review 2 Order vendor parts 3 Produce standard parts 4 Design custom parts 5 Software development 6 Manufacture custom Activity 7 8 parts Assemble Test Duration 5 15 20 13 18 10 10 5 Preceded 1 1 1 4 2,3,6 2,5 Assuming that you have been engaged to programme the project activities indicated in Table 3 and Figure A8.1B (Air Control Project: Time Plan without Resources), USE CCPM (Critical Chain Project Management) to ESTIMATE the project duration by showing each and every stage of your programming process (indicate technical dependency with resources imposed).Activity Immediate Predecessors Optimistic Time (a) Most Likely Time (m) Pessimistic Time (b) Variance A - 6 8 9 .25 B - 9 12 15 1.00 C A, B 4 6 11 1.36 D B 3 4.5 6 .25 E A 1 2 3 .11 F C 1 3 5 .44 G E,F 5 6 10 .69 H D,F 2 3 4 .11 I G,H 1 1 1 .00 J I 2 3 7 .69 (b) Determine the Expected Times. (c) Determine the activity schedule (ES, EF, LS, and LF) as well as slack. (d) Determine and state the critical path for this project.
- Activity Immediate Predecessors Optimistic Time (a) Most Likely Time (m) Pessimistic Time (b) Variance A - 6 8 9 .25 B - 9 12 15 1.00 C A, B 4 6 11 1.36 D B 3 4.5 6 .25 E A 1 2 3 .11 F C 1 3 5 .44 G E,F 5 6 10 .69 H D,F 2 3 4 .11 I G,H 1 1 1 .00 J I 2 3 7 .69 (e) What are the expected time and the variance of the project? (f) What is the probability that the project is completed in 32 or fewer weeks? (g) What date should be set such that there is a 94% chance of completion within that time?Q1 ) 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 (weeks) Preceding Activities A Determine user needs 8 -- B Review s/w and languages 4 -- C Purchase software 10 -- D Design format and style 10 B E Write programs 6 A F Review outcome product with user 12 C G Make revisions 4 C H Select server site 8 E I Install on server 14 D,F J Test 8 G,H,I Draw the path. Calculate the early finishing time (forwards calculations) Highlight the total time to complete the project (days) Calculate the late finishing time (backwards calculations) Calculate the slack time of the non-critical path activities Identify the critical path (highlight critical path activities) what would happen if activity D revised to take 14 instead of 10 days?QUESTION 2 You are the project manager of a software installation project. You would like to find the minimum-cost schedule for your project. There is a $1000-per-week penalty for each week the project is delayed beyond 25 weeks. In addition, your project team determined that indirect costs are $2,500 per week. Activity A B C D E FC G H Immediate Normal Time Normal Cost Predecessor (weeks) 5 8 10 4 3 9 2 8 9 A A, B B D E, F G C, F ($) 2,000 5,000 10,000 3,000 4,000 8,000 2,000 6,000 7,000 Crash Time (weeks) 3 7 8 3 2 6 2 5 7 a) What is the target completion week? b) How much would you save in total project costs with your schedule? Crash Cost ($) 4,000 8,000 12,000 7,000 5,000 14,000 2,000 9,000 15,000
- Q1. Based on the table below, solve the questions s Most Likely Duration 4 Predecessor Optimistic Duration 2 Activity Pessimistic Duration A 10 B A 5 8 15 H 1 3 H 4 10 12 D B 4 7 E C 11 14 21 F DE 9 13 17 G E,F 5 7 1. What is the probability that the project finishes in less than 40 days. 2. What is the probability that the Activity "G" finishes between 3 and 5 days. 3. Estimate project completion date with at least a 96% confidence level. 4. What is the probability that node "D" has a float more than Zero.A, 6 4. E Question 5 The critical path for the network activities shown below is with duration Immediate Activity Duration Predecessors A 2. C. 1. D. B,C,D 3. A-D-E; 11 B-D-E; 13 B-E; 7 B-C-E; 8 O A-C-E; 6 MacBook Air 08 F3 O00 000 F4 F5 DDQUESTION 1 The following information is available for a large fundraising project. Activity Activity Time (days) Activity Cost ($) Immediate Predecessor(s) A 3 100 -- B 4 150 -- C 2 125 A D 5 175 B E 3 150 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 3 150 F, G L 3 150 G, H, I M 2 100 I, J N 4 175 K, M O 1 200 H, M P 5 150 N, L, 0 Determine the critical path and the expected completion time of the project. Plot the total project cost, starting from Day1 to the expected completion date of the project, assuming the earliest start times for each activity. Compare the result to a similar plot for the latest start times. What implication does the time differential have for cash flows and project scheduling?
- Question 2 a) A small project is composed of seven activities, whose time estimates are listed below. Activities are identifies by their beginning (i) and ending (j) note numbers: Activity (i–j) 1-2 1-3 1-4 2-5 3-5 4-6 5-6 Optimistic 2 2 4 2 4 4 6 Estimated Durations (in Days) Most Likely 2 8 4 2 10 10 12 Required i) The expected duration and variance for each activity. ii) The project network. iii) The expected project length. Pessimistic 14 14 16 2 28 16 30Question 1 What is a unique, one-time event that is intended to achieve an objective in a given time period? Oa task Oan event Oan activity O a job Oa project MacBook Air 000 000 08 F5 DD F6 F8Practice Question EVM: A simple project consists of five tasks and is scheduled to take 13 weeks to complete. The actual status of the project at the end of week 9 is given in the following table: Project Plan Task | Duration Start (weeks) Actual status Actual current cost complete S350 S225 $475 $300 End Budget Percent week week $300 100% 100% $250 $450 $600 $500 B 2 100% 75% 75% C 4 4 7. 9. 13 D 3 6 8 $300 a) For each activity, compute the ACWP, BCWP, BCWS and add the columns to get the projected total. Record your answers in the table below. Task ACWP BCWP BCWS E b) Calculate: CV,SV,CPI, and SPI: