You may need to use the appropriate technology to answer this question.Consider the PERT/CPM network with estimated times in weeks shown in the following figure. The project is scheduled to begin on May 1.StartActivityABCDEFGAHThe three-time estimate approach was used to calculate the expected times and the following table gives the variance for each activity.Variance1.00.41.30.90.20.70.5B0.9E1DC4FG3H7Finish4(a) Give the expected project completion date and the critical path. (Enter your critical path as a comma-separated list.)The expected project completion isweeks from May 1 with a critical path of(b) Based only on the critical path, by what date are you 99% sure the project will be completed? (Round your answer to one decimal place.)weeks from May 1.

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Answered: Consider the PERT/CPM network with…

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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You 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
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 type your work and answers or write them neatly please* Thank you
A project consists of five activities listed below. The project network is shown for the activities. The critical path is B-C-E and the expected completion time is 8. Optimistic Most Probable Pessimistic Activity Time (hr) Time (hr) Time (hr) A Floor sanding 3 4 5 B Paint mixing 0.5 1 1.5 C Ceiling painting 1 5.5 7 D Wall painting 1 2 9 E Floor buffing 1 2 3 What is the probability that the project can be completed within 9 hr.?
A project has 7 activities P, Q, R, S, T, U, and V. Three time estimates (optimistic, most-likely, pessimistic) are used for each activity. Write down your answers to all parts of the question in the box given below. Give your answer to 3 decimal places. (Note (a) has of 2 parts and (b) has of 3 parts) For activity Q, these time estimates are as follows: optimistic time = 9, most-likely time = 14, pessimistic time = 20. Write down the average activity time for Q the variance of activity time for Q. The critical path of this project has a mean project time of 44 days and a standard deviation of 5 days. Assume project completion time is normally distributed. Find the probability that the project will be completed in 47 days. Find the probability that the project will take more than 40 days. We want to set a deadline for this project completion. If the probability of meeting this set deadline is 0.88, what will be the deadline for this project.
Dave the critical path should also be determined. Here are the activity times 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 an Dave's earliest start (ES) and earliest finish (EF) are Time Activity (weeks) A B С D 6 7 3 3 Immediate Predecessor(s) Activity (weeks) Time A A E F G H Activity ES A 4 7 10 EF 6 Immediate Predecessors B CE DF
Relevant information for a project consisting of activities A, B, ..., K is provided in the table below and the project network is provided. Activity Time in Weeks A 8 B 4 C 3 D 4 E 2 F 2 G 4 H 4 I 3 The project network is: B DE What is the slack for activity C? E What is the earliest start for activity G? What is the critical path? What is the earliest finish for activity B? Immediate Predessors ΝΑ A A B What is the project completion time? B с E, F D G, H (G Enter the letters of the activities on the path in capitals (e.g. ABCDEFG).
A project network is shown below, with three time estimates (Optimistic Time-Most Likely Time-Pessimistic Time (in days)) for each activity in the network. a. Compute the expected time for each activity in the project network. b. Identify and list all possible paths in the project network. Compute the expected duration for each path in the project network. c. Identify the critical path(s) in the project network. What is the expected project completion time? d. Compute the variance of each activity on the critical path(s). e. Determine the project variance and project standard deviation. Use the PERT analysis results in 2(c) and 2(e) to answer questions (f), (g), (h), and (i) below:f. What is the probability that the project can be completed within 22 days of its start? g. What is the probability that the project can be completed within 16 days of its start? h. Determine the project deadline that gives this project a 78% chance of on-time completion. i. Determine the project deadline…
Suppose that the project team has arrived at the following time estimates for activity B (Select site and survey) of the St. John’s Hospital project: a = 7 weeks, m = 8 weeks, and b = 15 weeks a. Calculate the expected time and variance for activity B. b. Calculate the expected time and variance for the other activities in the project.
The following table shows estimates of activity times (in weeks) for a project: Optimistic Time 5 Activity A B с D EFG 1 4 5 6 2.5 7.5 Most Probable Time 5.5 3 5 5.5 7 b. What is the probability that the project will be completed within 31 weeks? 3 8.5 Suppose that the critical path is A-C-D-E-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places. a. What is the probability that the project will be completed within 34 weeks? d. What is the probability that the project will be completed in 33 weeks? C. What is the probability that the project will be completed in more than 32 weeks? Pessimistic Time 9 5 6 9 8 3.5 12.5
Consider a project for which the following activities and time estimates in weeks apply activity To tm tp 1-2 3 5 8 1-3 2 3 5 1-5 2 3 4 2-3 1 2 5 2-6 7 8 9 3-4 1 3 6 3-5 2 4 6 4-5 1 2 4 5-6 1 2 3 Draw the project network Compute the expected time and variance for each activity iii. Compute slack for each event and find the critical path Find the length of the critical path and the project duration Approximate the probability that activity 3 – 4 will have positive slack. What is the managerial implication of that probability?

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