(i) The time estimates (in hours) for the activities of a PERT network are given below:Activity Optimistic time | Most likely time | Pessimistic time1-21171-31471-42282-51113-52144-6285-6315(a) Draw the project network(b) Identify all paths through it and write critical path.(c) Determine the expected project length(d) Calculate standard deviation and variance of the project length(e) What is the percentage of confidence that the project will complete at least 4 weeks earlier thenexpected time

Given- Activity Optimistic Most Likely Pessimistic (a) (m) (b) 1-2 1 1 7 1-3 1 4 7 1-4 2…

Answered: (i) The time estimates (in hours) for…

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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Project path a-co f has these activity time estimates in days: Optimistic Activity Time Most Pessimistic Likely Time (to) (Im) (tp) a 20 25 30 25 30 32 e 15 17 20 f 18 18 18 a. Compute the expected time or duration (te) for each activity. b. Compute the variance (Vt) for each activity. c. Compute the expected duration and variance for the path. (6
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
The project manager of XWZ, glass Inc. gathered the data as shown in Table 1 for a new advertising campaign. Table 1: Activity Data for Advertising Project Time Estimates (Weeks) Activity Optimistic Most Likely Pessimistic Immediate Predecessor(s) A 7 10 13 Start B 4 8 16 Start C 7 8 9 Start D 1 2 4 B E 7 10 11 A, C F 4 6 7 D, E G 1 3 6 D, E H 1 5 7 F, G I 1 4 6 G J 3 5 9 H K 3 3 3 H a) Draw AON diagram showing ES EF, LS and LF; then find how long is the project to take? b) What is the probability that the project will take more than 37 weeks? c) Consider the path A-E-G-H-J. What is the probability that this path will exceed 37 weeks?
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 date requested by the owner. The Davison project manager prepared the following project network. B F H Start A G Finish D E Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows. Activity Optimistic Most Probable Pessimistic A 4 8 12 B 6 6 12 18 D 7 E 6 18 F 5 17 G 10 15 20 H 5 6 13 (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. Round your answer to four decimal places.) (d) Based only on the critical path, what is the…
Use this table as inputs to answer the questions below: Activity Duration (months) Predecessors Total Budgeted Cost ($) % Complete after 3 months A 2 12,000 100 B 3 15,000 75 с 8,000 80 D A 6,000 50 E B 10,000 0 F E 7,500 G 2 A 4,000 0 If data from timesheets and other accounting records indicate that the actual amount of money spent on the project so far (i.e. at the end of 3 months) is $31,000, determine the following for the entire project: A. Cost variance B. Schedule variance 2 3 2 4 0
(a) Draw a project network. (b) Determine the expected time and variance for each activity. (c) Determine earliest start time (ES), earliest finish time (EF), latest start time (LS), finish time (LF) and slack of each activity. (d) Find the critical path and the project completion time. (e) What is the probability that the project will be completed in 65 weeks?
Following are the activities of a project: Activity time in weeks Immediate Most Most MostActivity Precedence Optimistic Likely PessimisticA None 4 7 13B A 6 9 11C A 5 7 09D B 3 5 07E C 7 8 10F D 2 3 05G E 6 7 08H F&G…
By using Bar chart planning method, find the following: - Total duration for the project activities shown below - The project completion date (assume the start date is 1/3/2012 Activity A CDEFGHI J Duration 85 2846 7 45 6 (days) Following Activity C,D EFGHIJJ * If the project shown above had a delay of (4 days after (13working days), what would its new delivery date be? B B
The following table describes project XYZ Duration Predecessor Variance A 5 2 B 3 A 1 C 13 A 6 D 18 B 2 E 10 B 4 F 4 D, E 1 G 11 C, E 5 H 9 F, G 2 I 2 H 1 Based on the information provided, perform the following tasks: Identify the crucial path and project duration Calculate probability that the project in going to be completed after the day 45
Activity A D E H F G B I J 4. A construction company planned for a new project and represented the tasks of the project as a list of immediate predecessors, estimated duration (best, most likely, worst) as follows: Estimated duration (best-most likely-worst) in weeks K с M N O End immediate predecessors a. A D E A FL B I J C M N H,G,K,O 2-4-6 6-8-10 7-9-12 2-3-5 3-4-8 Earliest Start 5-7-9 2-2-3 2-3-6 3-4-5 4-5-8 5-8-12 1-1-1 Draw a network diagram (activity on node), compute the earliest start and finish times of each task using most likely values. b. Compute the latest start and finish times of each task fill the rest of the values in a table format as follows: Activity 6-7-11 8-9-13 Earliest Finish Latest Start Latest Finish Slack Is critical? c. If the project is finished within 27 weeks of its start, the project manager will receive a bonus of 500$. Find the probability of getting the bonus.
The activities necessary for the completion of this project are listed in the following table: Normal Crash Time Time Normal Crash Immediate Predecessor(S) Activity (Weeks) (Weeks) Cost Cost 6 3 $2,100 $2,700 -- 1 1,900 2,400 -- 3 400 800 6 1,950 2,500 с 3 1,100 1,200 A, B 1 3,100 4,000 D, E a. What is the project completion date? [Select] weeks b. What is the total cost required for completing this project on normal time? [Select] c. If you wish to reduce the time required to complete this project by 2 weeks, which activity(s) should be crashed? [Select] V and how much will this increase the total cost by? $ [Select] d. If you required an additional week reduction, what activity would you crash? [Select] and how much is the total 3 week cost of " crashing? $ [Select] ABCDEF 2003 12 4 8 4
Charlie is planning to open a Chinese food restaurant “Dragon Express” in Montana. The following table lists all of the activities involved in the opening of the restaurant. Charlie is able to provide his three best estimates for each activity and he wants to know when his restaurant can be open. Use POM-QM to analyze the project and answer the following questions. Activity # Activity name Predecessors Time estimates in weeks (a,m,b) 1 Select location and obtain financing - 2,4,8 2 Rent negotiation and sign paper work 1 1,2,2 3 Cleaning and renovation of the resturant 2 4,6,8 4 Design resutrant menu - 1,1,1 5 Order and recieve equipment and other necessities 2,4 4,8,12 6 Install equipment 3,5 1,1,1 7 Hire employees 6 1,2,2 8 Final examination 7 1,2,3 Based on the result of POM-QM, the expected completion time of the project is (type number only, no text, no decimals) Based on the result of POM-QM, the standard deviation of the project completion time is…

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