You have a series of tasks and duration in front of you. Your lab is to determine the Critical Path using the two path method and calculate the slack at each activity. Enjoy! A Answer: N> 12 B 4 с Hi 1 D 7 What is the Early Start, Early Finish and Slack of Task B? E 3
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- PERT/CPM HOMEWORK (MOD 10) In the table below, you will see activities and times associated with each activity. Review the PowerPoint slides in Module 10 , before you start this assignment. Task Preceding Tasks to (optimistic) tm (most likely) tp (pessimistic) A NONE 2 3 10 B NONE 2 3 4 C A 1 2 3 D A 4 6 14 E B 4 5 12 F C 3 4 5 G D,E 1 1 7 1.) Draw the network using the table above. Make sure all 4 values (ES, EF, LS, LF) are listed on the network. 2.) What is the slack for each activity? What is the critical path? Show ALL of your work! 3.) Find the expected project completion time. What is the project variance? 4.) What is the probability that it would be in more than 14 days? Show ALL of your work. *The circle diagram picture is just an example of how it should look it is not apart of the problem in the chartYou may need to use the appropriate technology to answer this question. A project consists of five activities as shown in the following table. Activity Floor sanding Floor buffing Paint mixing Wall painting Ceiling painting Start Optimistic Time (hr) Most Probable Time (hr) Start Floor Buffing Paint Mixing Naturally, paint mixing precedes the painting activities. Also, (a) Construct the PERT/CPM network for this problem. Floor Sanding 4 Paint Mixing 4 0.5 3 3 Paint Wall Paint Ceiling Paint Ceiling Paint Wall 5 5 1 4 7.5 Floor Sanding Pessimistic Time (hr) Floor Buffing Finish 6 Finish 6 ceiling painting and floor sanding must be dor 1.5 11 9 i Start Start prior to floor buffing. Floor Sanding Paint Mixing Floor Buffing Paint Mixing Paint Ceiling Paint Wall Paint Wall Paint Ceiling Floor Buffing Floor Sanding Finish FinishYou are the project manager of the softwaration project in the table below. You would like to find the minimum-cost schedule for your project. There is a $500-per-week penalty for each week the prop delayed beyond week 25. In addition, your project team determined that indirect project costs are $2,000 per week. 9 Normal Activity Immediate Predecessor(s) Time (weeks) 1 A B C D E F G H 1 a. What would be your target completion week? The target completion week is week A A, B B D E. F G C.F (Enter your response as an integer.) b. How much would you save in total project costs with your schedule? Total Savings S (Enter your response as an integer) 79832N 10 12 8 Normal Cost (S) 3,000 3,000 10,000 3,000 4,000 2,000 3,000 5,000 2,000 Crash Time (weeks) 1 58829136 Crash Cost ($) 3,000 6,000 12,000 9,000 5,000 5,000 9,000 7,000 8,000
- For following data Calculate Duration for each Task, Draw the Network, and find Critical Path. Task Predecessor | Starting Date Finishing Date Start 01/11/2020 | 01/11/2020 A Start 01/11/2020 | 05/11/2020 01/11/2020 | 08/11/2020 08/11/2020 || 12/11/2020 В Start C 05/11/2020 | 17/11/2020 A 12/11/2020 | 16/11/2020 08/11/2020 | 18/11/2020 18/11/2020 | 23/11/2020 23/11/2020 | 23/11/2020 E A&C F В E&F End D>he following activities are part of a project to be scheduled using CPM: АСTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS) A B A A 8 D 3 В , D 2 E, F 8 a. What is the critical path? O A-C-D-F-G A-C-D-E-G O A-B-E-G O A-B-D-F-G b. How many weeks will it take to complete the project? Number of weeks c. How much slack does activity B have? Slack of activity B weeksThe optimistic, most likely and pessimistic times for the tasks comprising a project are shown below. Use the data to compute the expected completion time and variance for each task. Task to tm tp A 5 10 19 B 2 16 19 C 7 10 14 D 6 22 29 E 20 26 29 Find the expected completion time and variance for each task and fill in the table below (enter your responses rounded to two decimal places). Task to tm tp te s2t A 5 10 19
- The following activities are part of a project to be scheduled using CPM: TIME (WEEKS) 7 6 ACTIVITY IMMEDIATE PREDECESSOR A BCDEFG O A-C-D-E-G O A-B-E-G O A-C-D-F-G O A-B-D-F-G AACB A Number of weeks A b. What is the critical path? B, D D E, F 24346 c. How many weeks will it take to complete the project?You have been assigned a project and in your preliminary planning you have developed table 2 below, it outlines eight activities (A to H) that must be completed. For each activity you have obtained the estimated duration, cost per day and the prior task(s). Activity A B с D E F G H Z Duration (days) 3 4 12 6 16 15 Cost/week ($) 2500 6000 3000 10000 15000 10000 7 8 0 Prior Tasks None B, D C, E E, F,G 0 All *Assume that there are five (5) workdays in each week Table 2 2000 2500 A A, B A, B D Using the information provided: a) Create a network diagram for the project. b) Construct a Gantt Chart for the project. c) Determine the minimum time in which the project can be completed. 1Consider 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
- Consider a project to produce custom door moldings for GMC Acadia cross-over vehicles, described in the following table. Activity Time (weeks) 0 3 5 1 3 6 10 2 0 a. If you start the project immediately, when will it be finished? The critical path is path and the project duration is Activity START ABCDEFG FINISH Immediate Predecessor(s) weeks. (Enter your response as an integer.) START START BA A, B D, E C, E F, GI need a detailed explanation and assistance to solve this problem: A company decides to plan a project, with activities, precedences and random duration statistics given in the following table: Activity Immediate Predecessors Duration Minimum (weeks) Duration Mode (weeks) Duration Maximum (weeks) A none 2 5 9 B A 1 6 8 C A 3 5 12 D B 2 4 12 E B, C 4 6 8 F B 6 7 8 G D, E 1 2 6 H F, G 4 6 16 * What method should be used? Compute the mean and variances for each activity and add them to the table above * Draw the project network and label the arcs with the activity name. * Assuming that the critical path is AàBàP1àEàGàH, compute the probability that this path duration is between 28 weeks and 32 weeks. * Assuming that the critical path is AàBàP1àEàGàH, compute the number of weeks within which the project will be completed with probability 0.95.Given the following activity duration and field report, calculate the ACWP, BCWP, BCWS, CPI, CV, SPI, and SV. Also, project the estimated budget at completion and the estimated project duration. Feel free to use the Excel spreadsheet example and plug the new numbers in. Activity Predecessor Duration Cost/Day Total Cost A B U D E F Activity A B с D E A F B D D Actual % Completion 100 100 50 50 2 0 3 4 4 3 2 Field Report at the end of Day 5 Incurred Costs 400 1000 500 900 200 0 300 300 400 300 200 400 900 1200 1600 900 400