Draw activity network of the project. Crash the activities step by step until all paths are critical
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- Consider the following data (ETB and days).
- Draw activity network of the project.
- Crash the activities step by step until all paths are critical.
Activity |
Normal Time |
Normal Cost |
Crash Time |
Crash Cost |
1-2 |
20 |
600 |
17 |
720 |
1-3 |
25 |
200 |
25 |
200 |
2-3 |
10 |
300 |
8 |
440 |
2-4 |
12 |
400 |
6 |
700 |
3-4 |
5 |
300 |
2 |
420 |
4-5 |
10 |
300 |
5 |
600 |
4-6 |
5 |
600 |
3 |
900 |
5-7 |
10 |
500 |
5 |
800 |
6-7 |
8 |
400 |
3 |
700 |
Step by step
Solved in 3 steps with 3 images
- 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,GA project has the activity duration and cost information indicated in the table where all times are in weeks. What is the total cost for completing this project in 50 days? Activity Predecessor Normal Time Normal Cost Crash Time Crash Cost A -- 8 $12,000 5 $21,000 B A 12 $20,000 9 $30,000 C A 15 $24,000 10 $60,000 D B 3 $10,000 2 $15,000 E C 9 $17,000 6 $34,000 F E 7 $5,000 6 $6,000 G D 8 $14,000 6 $20,000 H A 12 $22,000 10 $30,000 I H 6 $50,000 5 $55,000 J F, G, I 11 $33,000 9 $50,000A project consists of seven activities, lettered A through F below. For each activity, the estimated normal time in number of weeks, crash time, normal cost, crash cost, and its preceding activity are given. Normal Time Crash Time Normal Cost Crash Cost Immediate Activity (weeks) (weeks) (Peso) (Peso) Predecessor(s) A 4 3 2,000 2,600 2 1 2,200 2,800 3 500 500 D 8. 4 2,300 2,600 A E 6 3 900 1,200 F 3 2 3,000 4,200 G 4 2 1,400 2,000 D, E What is the maximum time that can be crashed? O Not in the choices Seven weeks Five weeks O Four weeks O Six weeks
- 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.Consider the following project activities with a normal unit: (The normal unit is Day) Activity Name Immediate Predecessor (list number/ name, separated by ‘,’) Normal Time A 6 B A 2 C A 4 D B, C 3 E D 1 F D 7 G E 4 H F, G 2 I F 6 J I 1 K H, J 5 Fill the following table: Activity Name Activity Time Earliest Expected Competition Time (TE) Latest Expected Competition Time (TL) Slack (TL-TE) A 6 B 2 C 4 D 3 E 1 F 7 G 4 H 2 I 6 J 1 K 5 Project Completion Time = Days The Critical Path is=In reference to the attached image and data below: Step A we learned: Critical Path = A, B, H, I, J; Project Time = 40 Weeks; Total Cost = 364,000 Step B we learned: To crash the critical path I would crash A by 1 week, B by 2 week, H by 2 week and C by 3 week. This would not alter the critical path, only the time line. Steps C we learned: Modeling uncertainty in activity times. In this case I would use the activity times and determine the Variances and the Standard Deviation. Using “best case” (x) and “worst case” (y) scenarios for activity times the formula’s would be (x-y)/6 and (x-y)^2/36. What are the final recommendations for this case?
- Consider a project that has been modeled as in the table below. Part a) Draw the PERT/CPM network for this project and determine the project’s expected completion time μP and its critical path. Part b) Suppose the standard deviations of the activity durations are σA = 2, σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standard deviation of the overall project’s standard deviation σP . Part c) Suppose for the standard Normal random variable Z, we know P[−1 ≤ Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then, approximately what time T is one for which there is only a less than 2.5% chance for the completion time to beat (be shorter than)? *Please answer a-c and either type your work and answers or write them neatly showing each step, please* NO EXCEL Thank you!A project consists of seven activities, lettered A through F below. For each activity, the estimated normal time in number of weeks, crash time, normal cost, crash cost, and its preceding activity are given. Normal Time Crash Time Normal Cost Crash Cost Immediate Activity (weeks) (weeks) (Peso) (Peso) Predecessor(s) A 4 3 2,000 2,600 B 1 2,200 2,800 3 500 500 D 8 4 2,300 2,600 A E 6 900 1,200 В F 3 3,000 4,200 G 4 1,400 2,000 D, E If you wish to reduce the time required to complete this project by one week, which activity should be crashed? O Activity C O Activity D O Activity E O Activity B O Activity AConsider a project that has been modeled as in the table below. Part a) Draw the PERT/CPM network for this project and determine the project’s expected completion time μP and its critical path. Part b) Suppose the standard deviations of the activity durations are σA = 2, σB = 1, σC = 0, σD = 2, σE = 3, and σF = 0. Then please estimate the standard deviation of the overall project’s standard deviation σP . Part c) Suppose for the standard Normal random variable Z, we know P[−1 ≤ Z ≤ +1] ' 68%, P[−2 ≤ Z ≤ +2] ' 95%, and P[−3 ≤ Z ≤ +3] ' 99.7%. Then, approximately what time T is one for which there is only a less than 2.5% chance for the completion time to beat (be shorter than)? *Please answer a-c and type your work and answers or write them neatly please* Thank you
- 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 6A project consists of seven activities, lettered A through F below. For each activity, the estimated normal time in number of weeks, crash time, normal cost, crash cost, and its preceding activity are given. Normal Time Crash Time Normal Cost Crash Cost Immediate Activity (weeks) (weeks) (Peso) (Peso) Predecessor(s) A 4 2,000 2,600 В 2 1 2,200 2,800 3 500 500 4 2,300 2,600 A E 3 900 1,200 В F 3 2 3,000 4,200 G 1,400 2,000 D, E 4 How much will the costs increase when this project is crashed at its maximum? O P 15,900.00 O P 12,300.00 O P 1,600.00 O Not in the choices O P 2,875.008 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 (-)