Consider the following project with activities A through H. Activity Immediate Predecessors | Duration (weeks) A B C D E F G H A B A C,D C,D C,D G Draw the precedence diagram for this project. 2 3 4 6 10 11 5 7
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- B/U pe Activity A B D 11. A project has the activity duration and cost information indicated in the table where all times are in weeks. There is a penalty of $4,000 per week for every week the project exceeds 37 weeks. What is the lowest total cost for completing this project? Predecessor Time 18 11 A A B C E D Normal A H 12 15 3 19 Asbe de ABC' AMBBC RACE AB 7 8 12 6 Normal Cost Crash Time Crash Cost $22,000 $32,000 $62,000 $18,000 $35,000 $8,000 $23,000 $32,000 $56,000 $12,000 5 $18,000 19 $22,000 $9,000 $15,000 $5,000 $13,000 $20,000 $45,000 2 5 4The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activition nach must precede and the orash cost to reduce duration per week Crash Cos/Week ITI Duration (weeks) Activity A (start) Precedes B, C $370 B. 2. $120 $240 4. F (end) $140 $400 Suppose that Rafay is only given 8 weeks (instead of 10) 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 Each Activity Should be Reduced Activity BY (weeks) week(s) week(s) woek(s) wook(s) week(s) What is the total crashing cost? $ (Enter your response as a whole number)Activity A B CDEFG 3. You have been appointed as the project leader of a project to be undertaken by your company. You have identified the following tasks and made the time estimates for each task as listed in the table below: с Preceding "from" activity A A A B,C C,D,E F Succeeding "to" activity B,C,D E E F F G Estimated duration work days) 3 5 3 10 8 14 7 a) Use the above table to construct a project network diagram. b) Determine the critical path for the project and its duration.
- 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 BConsider the following project network and activity times (in days). E Start Finish D F G Activity | A B C D EF G Time 3 5 6 .2 The crashing data for this project are as follows: Time (days) Cost ($) Activity Normal Crash Normal Crash 800 1,200 2,000 A 2 1,400 В 2 1 1,900 3 2,800 1,500 1,800 2,300 E 6 4 2,800 1,000 1,000 F 2 1 600 G 2 1 500 a. Find the critical path and the expected project completion time. b. What is the total project cost using the normal times? Assume that management desires a 12-day project completion time. c. Formulate a linear programming model that can be used to assist with the crashing decisions. d. What activities should be crashed? e. What is the total project cost for the 12-day completion time? 2.O O D 40 4 22:31 photo_2021-02-2... O By using Bar chart planning method, find the following: - Total duration for the project activities shown below - The project completion date (assume the start date is 1/3/2012 Activity A В CDEF GHIJ Duration 8 28 4 6. 4 5 6 (days) Following C,DEFGH Activity * If the project shown above had a delay of (4 days after (13working days), what would its new delivery date be? 7. 5,
- 8 EARNED VALUE ANALYSIS The following project is reported to be at the end of its 8 week. Find the cost and schedule variances. Also find the CPI, SPI, CSI, ETC and EAC for the project. Find the condition of the project at the this reporting period. PV AC Budget ($) 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 (-)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,GActivities, 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.
- 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 A (start) B С E F(end) Duration (weeks) 3 2 6 2 Activity A Precedes B, C E F F Suppose that Rafay is only given 10 weeks (instead of 13) 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 $380 $110 $240 $160 $400 Each Activity Should be Reduced BYThe detail of the direct cost for project XYZ are given in Table 1. Table 1 Details for Project XYZ Normal Direct Cost 100 150 Activity Predecessor Maximum Slope Time (day) crash time A 100 50 A 3 A 4 200 1 200 200 D B 3 1 60 E C 4 2 D.E 70 90 F 3 150 1 The indirect cost is listed in Table 2. i. If the project needs to be crashed from its initial time, T1 to T5, list the step-by-step changes in activity and the direct cost to crash the project in Table 2,. ii. Identify the project's lowest cost possible within T1-T5 duration Table 2 Project Duration Activity crashed Step Total Direct Indirect Total Cost Cost Cost 1 Initial time T1 900 New time T2 800 New time T3 600 4 New time T4 550 New time T5 5002. A small software development project at Krishna Dhir's firm has five major activities. The times (in days) are estimated and provided in the table below: Activity Immediate Predecessor a m b A − 2 5 8 B − 3 6 9 C A 4 7 10 D B 2 5 14 E C 3 3 3 Part 2 d) The probability that it will take more than 17 days to complete this projectbe is __ (keep two decimal places). e) The due date that yields a 98% chance of completion is ____ days (keep two decimal places).