Construct a Gantt chart for the following set of activities and indicate the pro time and slack for each activity: Activity Activity Predecessor Time (weeks) 2 3 4 2 5 2 6 4 1 7 5 3725 o-4
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A: Formula:
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- 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,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 25A project has seven (7) main activities labelled A through G as shown in the below table which also shows their estimated duration times ( in weeks) and immediate predecessors. Activity a b Immediate Remarks m predeccessor A a = optimistic time 1 3 3 4 m = most likely time C 4 5 A b = pessimistic time D 8 9. 10 В E 2 8 C,D F 4 В G 1 3 E (a) Develop a project network for this problem. (b) Determine the expected duration and variance for each activity. (c) Determine the ES, EF, LS, LF, and slack time for each activity. (d) Determine the total project completion time and critical path(s). (e) Determine probability of the project completion more than 20 weeks 2. B.
- Crashed Completion time (week) Crashed Cost per Preceding Activity Normal Completion Time (week) Activity week A 7 5 $600 $700 $400 $800 12 10 A 8 2 D 9 7 E C, D 5 4 $300 F E 9 8 $500 G D, F 10 10 Find the minimum possible completion time of the project by considering the crashed completion times and the minimal total cost of that crashing the project. Highlight the critical and non-critical activities of the finally completed project by taking into account the crashed times of activities.Activities, 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 Normal Crashed Completion time (week) Crashed Cost Completion Time (week) 7 per week A 7 B $500 C 4 3 $700 $600 A A, C В, D D, E D 7 E F 10 9. $800 9 8 $400 i. Draw the network diagram linking all the activities in a way that it shows if there exist any preceding activity/activities before starting each of the mentioned activities in the above table. ii. Find the earliest start time, the earliest finish time, the latest start time and the latest finish time of each of the activities in the drawn diagram of the project and hence the completion time of the project and the critical path.When developing a schedule network diagram, the project manager must take into account the dependencies between activities as well as the start and finish relationships between activities. List and describe the four types of schedule activity relationships List and describe the four types of schedule activity dependencies Include examples of each item above, that do not come from the PMBOK.
- A project consisting of the following activities: Activity Predecessor Duration (months) A 2 B Activity A Duration (hours) 1 Predecessor - 3 C 2 D B B 5 1 4 E A, B C 3 1 3 F B 2 D 3 2 G F, C 5 H G Identify the critical path and obtain the project completion time. Calculate free float for each activity. The table describes the activities needed in planning a training session. E 1 4 4 I F F 4 4 3 J I, D 2 G 1 5 H 3 3,6 Determine the critical path and the expected completion time of the training session. K J 1 L E 6Construct the DATA SHEETS with ES, EF, LS, LF, TF, FF, AND INDF. What is the duration of the project? Identify the critical path. How many days can ACTIVITY C be delayed without extending the duration of the whole project?By using Bar chart planning method, find the following: - Total duration for the project activities shown below - The project completion date (assume the start date is 1/3/2012 Activity A CDEFGHI J Duration 85 2846 7 45 6 (days) Following Activity C,D EFGHIJJ * If the project shown above had a delay of (4 days after (13working days), what would its new delivery date be? B B
- The following estimates of activity times (in days) are available for a small project: Activity Optimistic Most Probable Pessimistic A 4 5.0 6 B 8 9.0 10 C 7 7.5 11 D 7 9.0 10 E 6 7.0 9 F 5 6.0 7 Compute the expected activity completion times and the variance for each activity. An analyst determined that the critical path consists of activities B-D-F. Compute the expected project completion time and the variance of this path.The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week Crash Cost/Week Activity Duration (weeks) Precedes A (start) B, C $380 $130 B E C F $240 E F $160 F (end) $450 Suppose that Rafay is only given 7 weeks (instead of 9) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Should be Reduced BY (weeks) 0 week(s) 1 week(s) 2 week(s) 0 week(s) 0 week(s) What is the total crashing cost? $ Enter your response as a whole number.) 2 2 4 1 3 Activity A B C ELL FPROJECT 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, G