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)?
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- PROJECT PLANNING & SCHEDULING WITH GANNT CHART Given the activities of a project; their optimistic (to), 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 wholeproject (maximum slack)? Activities Activity Times,months ImmediatePredecessors Maximum Slack,months A 2 - B 3 - C 2 A D 4 B E 4 C F 3 C G 5 D, E H 2 F, GPROJECT PLANNING & SCHEDULING WITH PERT/CPM Given the activities of a project; their optimistic (to), most likely (tm) and pessimistic (tp) time estimates (te); 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 wholeproject (maximum slack)? Activities ImmediatePredecessors Activity Times (to) Activity Times (tm) Activity Times (tp) Activity Times (te) Maximum Slack,months A - 1 4 13 B A 4 7 16 C A 2 2 2 D C 4 6 14 E - 1 3 5 F E 3 5 13 G - 7 10 13 H G 6 7 14 I B, D 1 1 1 J F, H, I 13 16 25Activities, preceding activities, normal and crashed completion times of each of the activities and crashed costs of activities per week of a project are given in the following table. Activity Preceding Activity Crashed Completion time (week) Normal Crashed Cost Completion Time (week) 7 per week A 7 6. 5 $500 $700 $600 $800 $400 C A 4 3 A, C В, D D, E D 9 E 10 9. F 9 II. Find the slack time of each of the activities and the critical activities. Find the minimum possible completion time of the project by considering the crashed completion times and the minimal total cost of crashing the project. iv.
- Given the activities of a project; their optimistic (t.), most likely (t_) and pessimistic (t) time estimates; and their immediate predecessors shown below 1. When is the earliest project completion? 2. Which activities are critical (should not be delayed)? 3. Which activities are noncritical (can be delayed)? 4. How long can each of the activities be delayed without delaying the whole project (maamum slack]? Immediate Activity Times, months Maximum Slack, Activities Predecessors t. months to 13 16 4 17 A 2 14 3. 13 10 13 14 B. D FH. 25 ABCDELGHI8 EARNED VALUE ANALYSIS The following project is reported to be at the end of its 8 week. Find the cost and schedule variances. Also find the CPI, SPI, CSI, ETC and EAC for the project. Find the condition of the project at the this reporting period. PV AC Budget ($) Duration Actual Cost % D-8 Activity Predecessor (s) (week) ($) Complete 300 400 A 3 100 A3 В 4 200 180 100 B:4 C 7 250 300 90 A 8 600 400 50 400 200 В 40 150 180 F В 4 100 G C 4 100 200 40 500 H D, E 2 300 F, G 3 J H, I 1 100 ㅇ CO 프 (-)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.
- 11. Using PERT, Adam Munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 24 months, and the project variance is 4. Part 2 a) The probability that the project will be completed in 20 months = ______ (round your response to four decimal places)Title A small project has 12 activities – N, P, Q, R, S, T, U, V, W, X, Y and Z. The relationship among these activities and the duration of these activities are given in the Table. Activity Duration (in weeks) Depends upon N. Q 4 P. R Q S 8. R U R,S V 2 U W U T,V Y 1 W 3. X,Y The total float of the activity V' (in weeks, in 29jo integer) isProblem 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?
- (c) Illustrate with suitable examples, the COCOMO I and II model of project management.Consider the project described in the table below: Activity Duration A B C D E F G H 9 4 8 8 5 7 4 6 OEST-9 and LCT = 15 OEST=9 and LCT = 13 Immediate Predecessor What is the earliest start time (EST) and latest completion time (LCT) of activity B? OEST=9 and LCT = 20 OEST-9 and LCT-17 - A A A B B,C C,D E,F,G. 1. Project Scope & Constraints The new payroll system project has been approved. The new system will reduce clerical time and errors, improve morale in the payroll department, and avoid possible fines and penalties for noncompliance. The system must be installed by January 1st to meet new federal reporting rules, all expenses must be approved in advance, and the system should have a modular design if possible. The new system is expected to be announced in a year-end report if it is ready by mid-December. 1. Why is it important to define the project scope? How would you describe the scope of the payroll project in this case? 2. Based upon the project scope, identify the constraints, and determine its characteristics: present versus future, internal versus external, and mandatory versus desirable. 3. What questions would you ask to determine the feasibility of this project? 4. Given the project time constraints, could you shorten the typical steps in the preliminary investigation…