Pearson Etext For Principles Of Operations Management: Sustainability And Supply Chain Management -- Access Card (11th Edition)
11th Edition
ISBN: 9780135639122
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Question
Chapter 3, Problem 21P
a)
Summary Introduction
To calculate: The probability of completing the work in 53 days.
b)
Summary Introduction
To calculate: The date that results in a 99% probability of completion.
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In reference to the attached image and data below: What are the final recommendations?
Step A we know: Critical Path = A, B, H, I, J; Project Time = 40 Weeks; Total Cost = 364,000
Step B we know: To crash the critical path I would crash A by 1 week, B by 2 week, H by 2 week and C by 3 week. This would not alter the critical path, only the time line.
Steps C we know: Modeling uncertainty in activity times. In this case I would use the activity times and determine the Variances and the Standard Deviation. Using “best case” (x) and “worst case” (y) scenarios for activity times the formula’s would be (x-y)/6 and (x-y)^2/36.
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 ? ?
Your company has just received an order from a good customer for a specially designed electric motor. The contract states that, starting on the 13th day from now, your firm will experience a penalty of $100 per day until the job is completed. Indirect project costs amount to $200 per day. The data on direct costs and activity precedence relationships are given in Table.
Electric Motor Project Data
Activity
Normal Time(days)
Normal Cost ($)
Crash Time (days)
Crash Cost ($)
ImmediatePredecessor(s)
A
B
C
D
E
F
G
H
4
7
5
6
3
11
4
3
1000
1400
2000
1200
900
2500
800
300
3
4
4
5
2
6
3
1
1300
1200
2700
1400
1100
3750
1450
500
None
None
None
A
B
C
D,E
F,G
a. Draw the project network diagram.b. What completion date would you recommend?
Chapter 3 Solutions
Pearson Etext For Principles Of Operations Management: Sustainability And Supply Chain Management -- Access Card (11th Edition)
Ch. 3 - Ethical Dilemma Two examples of massively...Ch. 3 - Give an example of a situation in which project...Ch. 3 - Explain the purpose of project organization.Ch. 3 - What are the three phases involved in the...Ch. 3 - What are some of the questions that can be...Ch. 3 - Define work breakdown structure. How is it used?Ch. 3 - What is the use of Gantt charts in project...Ch. 3 - What is the difference between an...Ch. 3 - What is the significance of the critical path?Ch. 3 - what would a project manager have to do to crash...
Ch. 3 - Prob. 10DQCh. 3 - Define earliest start, earliest finish, latest...Ch. 3 - Students are sometimes confused by the concept of...Ch. 3 - Prob. 13DQCh. 3 - Prob. 14DQCh. 3 - Would a project manager ever consider crashing a...Ch. 3 - How is the variance of the total project computed...Ch. 3 - Describe the meaning of slack, and discuss how it...Ch. 3 - How can we determine the probability that a...Ch. 3 - Name some of the widely used project management...Ch. 3 - What is the difference between the waterfall...Ch. 3 - The work breakdown structure (WBS) for building a...Ch. 3 - James Lawson has decided to run for a seat as...Ch. 3 - Prob. 3PCh. 3 - Refer to the table in Problem 3.3. a) Draw the AON...Ch. 3 - Draw the activity-on-node (AON) project network...Ch. 3 - Given the activities whose sequence is described...Ch. 3 - Prob. 7PCh. 3 - Roger Ginde is developing a program in supply...Ch. 3 - Prob. 9PCh. 3 - The activities described by the following table...Ch. 3 - Prob. 11PCh. 3 - The activities needed to build a prototype laser...Ch. 3 - Prob. 13PCh. 3 - Dave Fletcher (sec Problem 3.12) was able to...Ch. 3 - Ross Hopkins, president of Hopkins Hospitality,...Ch. 3 - A renovation of the gift shop at Orlando Amway...Ch. 3 - Kelle Carpet and Trim installs carpet in...Ch. 3 - The estimated times and immediate predecessors for...Ch. 3 - Prob. 21PCh. 3 - Four Squares Productions, a firm hired to...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Development of Version 2.0 of a particular...Ch. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 1.1VCCh. 3 - Prob. 1.2VCCh. 3 - Project Management at Arnold Palmer Hospital The...Ch. 3 - Prob. 1.4VCCh. 3 - Managing Hard Rocks Rockfest At the Hard Rock...Ch. 3 - Managing Hard Rocks Rockfest At the Hard Rock...Ch. 3 - Managing Hard Rocks Rockfest At the Hard Rock...Ch. 3 - Managing Hard Rocks Rockfest At the Hard Rock...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Consider 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_forwardDave 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 Harrow_forwardA project has the activity duration and cost information indicated in the table where all times are in weeks. What is the total cost for completing this project in 50 days? Activity Predecessor Normal Time Normal Cost Crash Time Crash Cost A -- 8 $12,000 5 $21,000 B A 12 $20,000 9 $30,000 C A 15 $24,000 10 $60,000 D B 3 $10,000 2 $15,000 E C 9 $17,000 6 $34,000 F E 7 $5,000 6 $6,000 G D 8 $14,000 6 $20,000 H A 12 $22,000 10 $30,000 I H 6 $50,000 5 $55,000 J F, G, I 11 $33,000 9 $50,000arrow_forward
- For each of the following network diagrams, determine both the critical path and the expected project duration. The numbers on the arrows represent expected activity times.a. AOA diagram b. AON diagram c. AOA diagram d. AON diagramarrow_forwardRich Cole Control Devices, Inc., producescustom-built relay devices for auto makers. The most recentproject undertaken by Cole requires 14 different activities.Cole’s managers would like to determine the total projectcompletion time (in days) and those activities that lie alongthe critical path. The appropriate data are shown in the fol-lowing table.a) What is the probability of being done in 53 days?b) What date results in a 99% probability of completion?arrow_forwardGiven the project information in the following table, what is the probability of completing the national holiday toy project in 93 time units? show all workarrow_forward
- Coleman Rich Control Devices, I nc., producescustom-built relay devices for auto makers. The most recent projectundertaken by Rich requires 14 different activities. Rich's managerswould like to determine the total project completion time(in days) and those activities that lie along the critical path. Theappropriate data are shown in the following table.a) What is the probability of being done in 53 days?b) What date results in a 99% probability of completion?arrow_forwardUsing your results from Problem 6,(a) Calculate the probability that the project will be completedin 38 weeks.(b) Calculate the probability that the project will be completedin 42 weeksarrow_forwardGabrielle Kramer, owner of Pet Paradise, is opening a new store in Columbus, Ohio. Her major concern is the hiring of a manager and several associates who are animal lovers. She also has to coordinate the renovation of a building that was previously owned by a chic clothing store. Kramer has gathered the data shown in Table.a. How long is the project expected to take?b. Suppose that Kramer has a personal goal of completing the project in 14 weeks. What is the probability that it will happen this quickly?arrow_forward
- 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 1-4-6arrow_forwardThe expected time and variances for the major activities of an R&D project are depicted in the following PERT chart. Determine the probability that the project completion time will be: A. Less than 50 weeks B. More than 50 weeksarrow_forwardDraw a network representation of the project (nodes = activities, arrows = precedence constraints). Provide early start/early finish as well as late start/late finish times for all activities. What is the duration of the project, and which tasks are on the critical path? Task Description Duration Predecessors A Project Planning 16 days - B Evaluation Existing Apps 20 days - C Define Value Proposition 12 days B D Define User Interface 18 days B E Define Technology Requirements 22 days C and D F Document Requirements 14 days E G Develop Architecture 35 days A and F H Creation Code Design 18 days G I Roadmap Feature Development 12 days G J User Interface Development 74 days H and I K Code Development 92 days H and I L Release Testing 32 days J and K M Get User Feedback 22 days L N Bug Fixing 28 days L O Marketing Plan 54 days E P Release Product 5 days M, N and Oarrow_forward
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