Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
12th Edition
ISBN: 9780134741062
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Textbook Question
Chapter 7, Problem 26P
Consider the office renovation project data in Table 7.16. A“zero” time estimate means that the activity could take a very small amount of time and should be treated as a numeric zero in the analysis.
- Based on the critical path, find the probability of completing the office renovation project by 39 days.
- Find the date by which you would be 90 percent sure of completing the project.
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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
Given the following network and activity time estimates, determine:
The expected time and variance for each activity
The critical path. This must be based on your calculations of the start and finish times and not by inspection.
The expected project completion time, variance and standard deviation
The probability that the project will be completed in 20 weeks or less
Consider the office renovation project data in Table 7.16. A“zero” time estimate means that the activity could take a verysmall amount of time and should be treated as a numericzero in the analysis.a. Based on the critical path, find the probability ofcompleting the office renovation project by 39 days.b. Find the date by which you would be 90 percent sure ofcompleting the project.
Chapter 7 Solutions
Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
Ch. 7 - One of your colleagues comments that software is...Ch. 7 - Explain how to determine the slack for each...Ch. 7 - Define risk as it applies to projects. What are...Ch. 7 - Consider the following data for a project to...Ch. 7 - The following information is known about a project...Ch. 7 - A project for improving a billing process has the...Ch. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Consider the following information for a project...Ch. 7 - Consider the following data for a project to...
Ch. 7 - Paul Silver, owner of Sculptures International,...Ch. 7 - Prob. 9PCh. 7 - The following information concerns a project to...Ch. 7 - Consider a project to produce custom door moldings...Ch. 7 - Table 7.5 contains information about au...Ch. 7 - The Advanced Tech Company has a project to design...Ch. 7 - Prob. 14PCh. 7 - Table 7.8 contains data for the installation of...Ch. 7 - The diagram in Figure 7.12 was developed for the...Ch. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - You are the project manager of the software...Ch. 7 - Jordanne King, the project manager for Webjets...Ch. 7 - Recently, you were assigned to manage a project to...Ch. 7 - In Solved Problem 2, estimate the probability that...Ch. 7 - The director of continuing education at Bluebird...Ch. 7 - Gabrielle Kramer, owner of Pet Paradise, is...Ch. 7 - The project manager of Good Public Relations...Ch. 7 - Consider the office renovation project data in...Ch. 7 - Activity B and activity K are critical activities....Ch. 7 - Prob. 2AMECh. 7 - Prob. 3AMECh. 7 - Prob. 4AMECh. 7 - Prob. 5AMECh. 7 - Assess the four categories of a risk-management...Ch. 7 - Prob. 2VCCh. 7 - Assume you are Denise Tower and have...Ch. 7 - Prob. 1CCh. 7 - Prob. 2CCh. 7 - Prob. 3CCh. 7 - Prob. 4C
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- The following information has been computed from a project: Expected total project time = T = 62 weeks Project variance = 81 1- What is the probability that the project will be completed 18 weeks before its expected completion date? 2- Draw Normal Curve & Analysis your solution with conclusionarrow_forwardConsider the office renovation project data in Table 7.16. A “zero” time estimate means that the activity could take a very small amount of time and should be treated as a numeric zero in the analysis.a. Based on the critical path, find the probability of completing the office renovation project by 39 days.b. Find the date by which you would be 90 percent sure of completing the project.arrow_forwardWhy might a probabilistic estimate of a project’s completion time based solely on the variance of the critical path be misleading? Under what circumstances would it be acceptable?arrow_forward
- A company is willing to develop their rocket before the end of current financial year which is now 28 weeks away. The chief engineer of the company has decided to use PERT technique in order to plan, schedule and control program of development for the data given in table below. What is the probability that the program will be completed by the end of the current financial year? (all durations are in weeks). (i) G) Optimum Duration Most likely duration Pesimistic duration 1 2 3 8 13 3 2 8 4 3 8 10 4 7 10 3 6. 3 8 4 9 10 4 8. 4 9. 5 7 9. 12 6. 5 11 7 9. 14 8 4. 00 2.arrow_forwardActivity E has an optimistic time of 9 days, a most likely time of 12 days, and a pessimistic time of 15 days. Estimate its expected time and standard deviation.arrow_forwardConsider the following PERT time estimates: a. Draw a network for this project and determine the critical path based on the most likely times by inspection.b. Assuming that the critical path is the one you identified in part (a), what is the probability that the project will be completed before 28weeks? Before 32 weeks?c. Assuming that the critical path is the one you identified in part (a), how many weeks are required to complete the project with probability .95?arrow_forward
- A project being analyzed by PERT has 60 activities, 13 of which are on the critical path. If the estimated time along the critical path is 214 days with a project variance of 169, what is the probability that the project will be completed within 224 days? O 0.50 O 0.84 0.80 O 0.78arrow_forwardThe expected duration of a project is 26 weeks and the total project variance along the critical path is 11.555 Calculate the probability of completing the project in 25 weeks. Calculate the Z value which is used for finding the probability of completion of the project from the normal distribution table O a. + 0.0865 O b. + 0.2942 O C. - 0.0865 O d. - 0.2942arrow_forwardWhat is the value of the missing item labeled (a) in the table above? Round to the nearest integer. What is the value of the missing item labeled (b) in table above? Round to two decimals. Draw the network diagram for this project. Clearly label the earliest start, earliest finish, latest start, latest finish and slack for each activity. Specify the critical path and the critical activities. State the expected C.P. duration State the variance of the critical path. What is the probability that the dashboard will be delivered within 20 days?arrow_forward
- Consider the following project activities with a normal unit: (The normal unit is Day) Activity Name Immediate Predecessor (list number/ name, separated by ‘,’) Normal Time A 6 B A 2 C A 4 D B, C 3 E D 1 F D 7 G E 4 H F, G 2 I F 6 J I 1 K H, J 5 Fill the following table: Activity Name Activity Time Earliest Expected Competition Time (TE) Latest Expected Competition Time (TL) Slack (TL-TE) A 6 B 2 C 4 D 3 E 1 F 7 G 4 H 2 I 6 J 1 K 5 Project Completion Time = Days The Critical Path is=arrow_forwardFollowing are the three time estimates for a task in a project: optimistic completion time = 2 weeks most likely completion time = 4 weeks pessimistic completion time = 7 weeks Compute the expected time for the task.arrow_forwardConsider 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,Garrow_forward
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