The following estimates of activity times (in days) are available for a small project.ActivityOptimisticMost ProbablePessimisticA6.07B10.011C8.512.5D10.0118.010F34.05(a) Compute the expected activity completion times and the variance for each activity. (Round your answers to two decimal places.)ExpectedActivityVarianceTimesA(b) An analyst determined that the critical path consists of activities B-D-F. Compute the expected project completion time and the variance of this path. (Round your answers to two decimal places.)expected project completion timevariance of projection completion time Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractors will require a major effort to meet the 46-week completion daterequested by the owner. The Davison project manager prepared the following project network.BFHStartAGFinishDEEstimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.ActivityOptimisticMost ProbablePessimisticA4812B661218D7E618F517G101520H5613(a) Find the critical path. (Enter your answers as a comma-separated list.)(b) What is the expected project completion time (in weeks)?weeks(c) Based only on the critical path, what is the estimated probability the project can be completed in 46 weeks as requested by the owner? (You may need to use the appropriate technology to answer this question. Roundyour answer to four decimal places.)(d) Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 59 weeks for this calculation. (You may need to use the appropriate technology to answerthis question. Round your answer to four decimal places.)in

A PERT diagram helps to identify the project duration using the three dimension model of activity…

Answered: Compute the expected activity…

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 estimated times and immediate predecessorsfor the activities in a project at George Kyparis’s retinal scan-ning company are given in the following table. Assume thatthe activity times are independent. a) Calculate the expected time and variance for each activity.b) What is the expected completion time of the critical path?What is the expected completion time of the other path inthe network?c) What is the variance of the critical path? What is the vari-ance of the other path in the network?d) If the time to complete path A–C is normally distributed,what is the probability that this path will be finished in22 weeks or less?e) If the time to complete path B–D is normally distributed,what is the probability that this path will be finished in22 weeks or less?f) Explain why the probability that the critical path will befinished in 22 weeks or less is not necessarily the probabil-ity that the project will be finished in 22 weeks or less.
The following estimates of activity times (in days) are available for a small project: Activity Optimistic Most Probable Pessimistic A 4 5.0 6 B 8 9.0 10 C 7 7.5 11 D 7 9.0 10 E 6 7.0 9 F 5 6.0 7 An analyst determined that the critical path consists of activities B-D-F. Compute the expected project completion time and the variance of this path. What is the probability the project will be completed in 25 days?
Draw CPM network of activities tabulated below: 1. Calculate the expected duration and the standard deviation for the critical path. 2. Compute the followings: (a) The probability that the project will finish by the end of day 50 (b) The probability that the project will finish at day 52 (c) The probability that the project will finish before the start of day 49. (d) The completion date with at least a 95% confidence level
You are provided with the following information for a project, with activity durations given in weeks: Activity Immediate Optimistic Most Likely Pessimistic Predecessor Time (a) Time (m) Time (b) A ____ 2 3 4 B ____ 2 4 6 C A 1 2 3 D B 3 6 9 E C, D 7 8 9 F D 4 7 10 G E 3 4 5 H E, F…
The estimated times and immediate predecessors for the activities in a project a t George Kyparis's retinal scanning company are given in the following table. Assume that the activitytimes are independent. a) Calculate the expected time and variance for each activity.b) What is the expected completion time of the critical path?What is the expected completion time of the other path in the network?c) What is the variance of the critical path? Wha t is the variance of the other path in the network?d) If the time to complete path A-C is normally distributed, what is the probability that this path will be fini shed in 22 weeks or less?e) If the time to complete path B- D is normally distributed, what is the probability that this path will be finished in 22 weeks or less?f) Explain why the probability that the critical path will be finished in 22 weeks or…
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 7 - E 4 BB 8 - F 7 BC 4 A G 11 C, ED 1 A H 6 D , F Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A 0 7 B 0 8 C 7 11 D 7 88 E 8 12 Part 7 F ? ? G ? ? H ? ?
Jordanne King, the project manager for Webjets International, Inc., compiled a table showing time estimates for each of the activities of a project to upgrade the company’s Web page, including optimistic, most likely, and pessimistic.a. Calculate the expected time, te, for each activity.b. Calculate the variance, s2, for each activity.Activity Optimistic (days) Most Likely (days) Pessimistic (days)A 3 8 19B 12 15 18C 2 6 16D 4 9 20E 1 4 7
Suppose that the following estimates of activity times (in weeks) were provided for the network shown below: Activity Optimistic Most Probable Pessimistic A 4 6 7 B 2.5 4 5 C 5 6 7 D 4 5 9 E 6.5 7.5 9 F 2 3.5 5 G 8 9 11 H 5 6 10 What is the probability that the project will be completed. If required, round your answers to four decimal places. Within 20 weeks?---------- Within 21.5 weeks?---------- Within 23 weeks?----------
Consider the following activities for a project. Answer the questions below. a. Assume the durations given are high confidence, create a network chart (don’t considerresources yet), and identify the critical path. What is the duration of the project? b. You aren’t quite ready to apply the critical chain project management yet, but you do want toeliminate multi-tasking. Eliminate any resource contention in your network. Identify the criticalpath now? What is the duration of the project? c. Apply the critical chain project management approach to this project. Create a new view ofyour project network, include a project buffer and any needed feeding buffers. What is the criticalchain? What is the duration of the project now?
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
Given the following table, construct a network diagram, either AOA or AON. Times are in days.a. Determine the expected duration of the project.b. Compute the probability that the project will take at least 18 days.Path Activity Time EstimatesA 4-5-6Top B 7-8-10C 3-5-9D 7-8-11Bottom E 2-3-4F 1-4-6
To design a new app, a project manager has gathered the time information foreach activity as shown in the following table:Activity Predecessors Optimistic Most Likely PessimisticA / 1 4 7B / 2 6 10C B 3 3 9D A 6 13 14E A, C 4 6 14F B 6 8 16G D,E,F 2 5 8Identify the critical path. How much slack time is associated with each noncritical activity?Suppose you wanted to have 99% confidence in the project finishing on time. How manyweeks in total would your project team need to achieve this 99% likelihood?

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