The time estimates (in weeks) for the activities of a PERT network are given below. Activity Optimistic time Most likely time Pessimistic time 1-2 1 7 1-3 4 7 1-4 2 2 8 2-5 1 3-5 2 2 14 4-6 8 5-6 3 15 a) Draw the project network and identity all the paths through it b) Determine the expected project length c) Calculate the standard deviation and variance of the project length d) What is the probability that the project will be completed; i). At least 4 weeks earlier than expected time? i). No more than 4 weeks later than expected time? e) If the project due date is 19 weeks, what is the probability of not meeting e due date? f) Find the probability that the project will be completed on schedule if the s heduled completion time is 20 weeks. g) What should be the scheduled completion time for the probability of com 556

The time estimates (in weeks) for the activities of a PERT network are given below. Activity Optimistic time Most likely time Pessimistic time 1-2 1 7 1-3 4 7 1-4 2 2 8 2-5 1 3-5 2 2 14 4-6 8 5-6 3 15 a) Draw the project network and identity all the paths through it b) Determine the expected project length c) Calculate the standard deviation and variance of the project length d) What is the probability that the project will be completed; i). At least 4 weeks earlier than expected time? i). No more than 4 weeks later than expected time? e) If the project due date is 19 weeks, what is the probability of not meeting e due date? f) Find the probability that the project will be completed on schedule if the s heduled completion time is 20 weeks. g) What should be the scheduled completion time for the probability of com 556

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 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
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
A solved PERT problem is detailed in the table below. The expected time and variance values and the critical activities are given in the table below. Answer the following questions by filling the blanks (WRITE YOUR ANSWERS TO 2 DECIMAL PLACES. DO NOT ROUND UP OR DOWN): a. The expected project completion time for this problem is and the standard deviation is . b. There is a 0.95 probability that the project will be completed by weeks. Activity Expected time Variance Critical? A 10 0.36 Yes B 7 0.11 No C 7 0.25 No D 3 0.48 Yes E 5 1.60 Yes F 7 0.69 No G 2 3.69 Yes
The project described in the following table has just begun. It is scheduled to be completed in 11 weeks.Use Table B1 and Table B2. Activity Estimated Time(weeks) Standard Deviation(wks.) 1-2 4 0.70 2-4 6 0.90 1-3 3 0.62 3-4 9 1.90 a. If you were the manager of this project, would you be concerned? (Round your intermediate calculations to 2 decimal places and "Probability" values to 4 decimal places.) because the probability of finishing on schedule is only about . b. If there is a penalty of $5,000 a week for each week the project is late, what is the probability of incurring a penalty of at least $5,000? (Round your intermediate calculations to 2 decimal places and "Probability" values to 4 decimal places.) Probability Have worked this with various formulas and all come back wrong. Where am I making a mistake
By using Bar chart planning method, find the following: - Total duration for the project activities shown below - The project completion date (assume the start date is 1/3/2012 Activity A CDEFGHI J Duration 85 2846 7 45 6 (days) Following Activity C,D EFGHIJJ * If the project shown above had a delay of (4 days after (13working days), what would its new delivery date be? B B
you decide to estimate duration and standard deviation of a project using PERT method. the project has 3 steps the following are the optimistic, most likely and pessimistic durations in weeks:step 1: 2,5,10Step 2: 1,3,13Step3: 7,8,11,what is the estimated duration and standard deviation of the project duration?Estimated Duration =16 standard Deviation =4.9Estimated Duration =18 standard Deviation =4.9Estimated Duration =18 standard Deviation =2.49Estimated Duration =16 standard Deviation =24
Kimpel Products makes pizza ovens for com-mercial use. James Kimpel, CEO, is contemplating produc-ing smaller ovens for use in high school and college kitchens.The activities necessary to build an experimental model andrelated data are given in the following table: a) What is the project completion date?b) Crash this project to 10 weeks at the least cost.c) Crash this project to 7 weeks (which is the maximum it canbe crashed) at the least cost.
8 EARNED VALUE ANALYSIS The following project is reported to be at the end of its 8 week. Find the cost and schedule variances. Also find the CPI, SPI, CSI, ETC and EAC for the project. Find the condition of the project at the this reporting period. PV AC Budget ($) Duration Actual Cost % D-8 Activity Predecessor (s) (week) ($) Complete 300 400 A 3 100 A3 В 4 200 180 100 B:4 C 7 250 300 90 A 8 600 400 50 400 200 В 40 150 180 F В 4 100 G C 4 100 200 40 500 H D, E 2 300 F, G 3 J H, I 1 100 ㅇ CO 프 (-)
The following information has been computed from aproject:Expected total project time = T = 62 weeksProject variance (s2p ) = 81What is the probability that the project will be completed18 weeks before its expected completion date?
The following table shows estimates of activity times (in weeks) for a project: b. What is the probability that the project will be completed within 33 weeks? c. What is the probability that the project will be completed in more than 34 weeks? Activity d. What is the probability that the project will be completed in 35 weeks? ABCDEFG А G Optimistic Most Probable Time Time 5 6 3.5 4 3 6 7 5 9 4 6.5 Suppose that the critical path is A-C-E-F-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 36 weeks? 6 10.5 Pessimistic Time 7 4.5 5 10 9 7 15
Consider 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
You may need to use the appropriate technology to answer this question. Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42- week completion date requested by the owner. The Mueller project manager prepared the following project network. Start Activity A B с D E Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows. TI G H Optimistic Most Probable 4 6 6 weeks 3 6 5 10 A 5 8 7 12 5 9 8 B 15 6 Pessimistic 12 8 18 7 18 17 20 (b) What is the expected project completion time (in weeks)? 52 13 F E (a) Find the critical path. (Enter your answers as a comma-separated list.) A,C,E,G,H G H Finish (c) Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by the owner? (Round your answer to four decimal places.) X (d) Based only on the…