Problem 9-12 (Algorithmic)Assume that the activity time estimates (in days) for the swimming pool construction project are as follows:AHFinishStartActivityOptimisticMost ProbablePessimisticA5712B5C37D31F47G1.86I711a. What are the critical activities? If necessary, round your answers to two decimal places. If your answer is zero, enter "0".ActivityExpected TimeVarianceABCFGIEarliestLatestEarliestLatestCriticalActivityStartStartFinishFinishSlackActivityABEFGHICritical Path:b. What is the expected time to complete the project? If necessary, round your answer to two decimal places.E(T) =daysc. Based only on critical path, what is the estimated probability that the project can be completed in 25 or fewer days?Variance =If necessary, round your answers to two decimal places.Using the normal distribution, z =If necessary, round your answers to two decimal places. If negative answer is required, enter the minus sign beforethe number.Probability of 25 days or less isIf necessary, round your answers to four decimal places. Note: Use Appendix B to identify the probability.%3D

Critical path and PERT analysis is a method to find the earliest possible completion time of the…

Answered: a. What are the critical activities? If…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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The table below contains data for the installation of new equipment in a manufacturing process for a steel corporation. Your company is responsible for the installation project. Indirect costs are $6,000 per week, and a penalty cost of $10,000 per week will be incurred by your company for every week the project is delayed beyond week 15. Activity Immediate Predecessor(s) Normal Time (weeks) Crash Time (weeks) Normal Cost ($) Crash Cost ($) A None 2 1 7,000 10,000 B None 2 2 3,000 3,000 C A 3 1 12,000 40,000 D B 3 2 12,000 28,000 E C 1 1 8,000 8,000 F D, E 5 3 5,000 15,000 G E 3 2 9,000 18,000 H F, G 8 6 14,000 32,000 Construct a network diagram for the project. What are the project completion time and the total cost under normal conditions? What is the shortest time duration for this project regardless of cost? What is the resulting total cost? What is the…
I need assistance with the following questions in: Project Scheduling. This is a follow up to a question answered earlier. Question 1) was answered. 1) A company decides to plan a project, with activities, precedences and deterministic durations given in the following table: Activity i Duration (days) Immediate Predecessors A 32 none B 21 none C 30 none D 45 A E 26 A, B F 28 C G 20 E, F 2) The company decided that the project in the previous problem has to be expedited in order to optimize (minimize) the project cost. Expediting can be used to trade direct cost for indirect cost, since expediting the project reduces the indirect cost of the project by a fixed amount per day, while expediting an activity increases its total direct cost. The Accounting Department found that indirect costs amount to $100 per day, while activity direct costs as well as their normal and expedited times are given in the table below.…
Consider Table 6-3. All duration estimates or estimated times are in weeks, and the networkproceeds from Node 1 to Node 8. (Note that you can easily change this table to createmultiple exercises.)a. Draw an AOA network diagram representing the project. Put the node numbers in circlesand draw arrows from node to node, labeling each arrow with the activity letter andestimated time.b. Identify all of the paths on the network diagram and note how long they are, using Figure 6-8as a guide for how to represent each path.c. What is the critical path for this project and how long is it?d. What is the shortest possible time needed to complete this project?
A project is scheduled to complete in six months duration. There are two activities in the project. The actual cost of Activity 1 is SAR 300,000 and that of Activity 2 is SAR 200,000. The planned value of these activities is SAR 280,000 and 150,000 respectively. On reviewing, the current project status is Activity 1 is 100% completed and Activity 2 is only 75% completed. (i) Perform the earned value calculations of the above project scenario and fill the given table. Activity Month 1 Earned Value Planned Value Actual Cost Cost Variance Scheduled Variance Cost performance Index Schedule performance Index (ii) What do you infer about the project schedule and cost based on your calculations?
Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s)A 6 - E 5 BB 8 - F 6 BC 2 A G 9 C, ED 3 A H 7 D , F Dave's earilest start (ES) and earliest finish (EF) are: Activity ES EF A 0 6 B 0 ? C D E F G H
An office complex is to be renovated. Before the job can be completed, various tradespeople and skilled workers must install their materials. The table for this problem describes the relationships between the activities that need to be completed. Activity Immediate Predecessors Time (days) A1 - 6 A2 A1 7 A3 A1 3 A4 A1 10 A5 A2 10 A6 A3, A4 4 A7 A4 8 A8 A4 5 A9 A5, A6, A7 7 A10 A8 6 a) Develop a project network for this problem. b) Determine the EST, EFT, LST, LFT, and slack for each activity. c) What is the critical path and project completion time? d) Submit your file
An office complex is to be renovated. Before the job can be completed, various tradespeople and skilled workers must install their materials. The table for this problem describes the relationships between the activities that need to be completed. Activity Immediate Predecessors Time (days) A1 - 6 A2 A1 7 A3 A1 3 A4 A1 10 A5 A2 10 A6 A3, A4 4 A7 A4 8 A8 A4 5 A9 A5, A6, A7 7 A10 A8 6 a) Develop a project network for this problem. b) Determine the EST, EFT, LST, LFT, and slack for each activity. c) What is the critical path and project completion time?
Consider a project that has been modeled as in Table 1 Draw the PERT/CPM network for this project and determine the project’s expected completion time µP and its critical path. 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 . 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)?
An IT company must complete a project with the following tasks listed A to G. ACTIVITY NORMAL DURATION (DAYS) CRASHED DURATION (DAYS) NORMAL COST ($) CRASHED COST ($) A 7 5 500 900 B 4 2 400 600 C 5 5 500 500 D 6 4 800 1000 E 7 4 700 1000 F 5 2 800 1400 G 6 4 800 1600 The following are all the paths in the project from start to end and the durations of each: A-B-E-G : 24 days A-C-E-G : 25 days A-C-F-G : 23 days A-D-F-G : 24 days Develop a crashing schedule to show which activities should be crashed to crash the project by 4 days and the lowest cost of doing so.
A given task was estimated to cost $15,750 to complete. Currently, the project team has completed approximately 65% of the task, and have spent $10,500. a. Determine the indices: AC, PV, and EV b. Derive the values for cost and schedule variances, as well as cost performance and schedule performance indices. Is this project ahead or behind on schedule, and is it ahead or behind on budget?
Using your results from Problem 6,(a) Calculate the probability that the project will be completedin 38 weeks.(b) Calculate the probability that the project will be completedin 42 weeks
I 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.

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