Operations Management
13th Edition
ISBN: 9780135173626
Author: HEIZER, Jay, RENDER, Barry, Munson, Chuck
Publisher: Pearson,
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Textbook Question
Chapter 3, Problem 6P
Given the activities whose sequence is described by the following table, draw the appropriate activity-on-arrow (AOA) network diagram.
- a. Which activities are on the critical path?
- b. What is the length of the critical path?
ACTIVITY | IMMEDIATE PREDECESSOR(S) | TIME (DAYS) | ||
A | - | 5 | ||
B | 2 | |||
C | 4 | |||
D | 5 | |||
E | 5 | |||
F | 5 | |||
G | E, F | 2 | ||
H | 3 | |||
I | G, H | 5 |
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Check out a sample textbook solutionStudents have asked these similar questions
Part II-A. Given the activity table below, prepare its
corresponding Gantt Chart and PERT diagram.
Activity Predecessor Days
A
1
B
4
C
2
D
1
E
1
F
5
G
3
H
3
I
1
J
2
K
1
L
3
M
2
A
A
C
B, D
E
E
E
H
G, I
J
J
L
Part II-B. Based on your illustration, please answer the
following.
Given the diagram above, please answer the following.
7. How many possible paths are there from the start to the end of the project?
8. Which tasks are on the critical path of the PERT chart above?
9. What is the slack time for tasks C, D and G?
10. The person working on task C tells the project manager he can't start work until one day
after the scheduled starting date. What impact would this have on the completion date of the
project? Why?
11. Task A will be delayed by 2 days because some equipment has arrived late. If the project
manager still wants to finish the project within the original time frame, he will need to
shorten the time for one or more of the tasks. What steps can he take to reduce the number of…
Consider a project having the following ten activities:
Immediate
Activity
A
Time (weeks)
Predecessors
none
7
B
none
3
A
5
А, В
С, D
6
E
4
F
D
4
G
C
9
E, G
E, F
H, I
H
8
I
J
5
a)Construct AON diagram for the following data.
b) Identify path, path duration and critical path
c) Conduct CPM analysis by identifying ES, EF, LS, LF
d) What is the slack for each activity and the critical path?
Activity (day) Predecessor(s)
A 6 none
B 5 none
C 3 A
D 2 A
E 1 B
F 7 C
G 9 D E,
H 11 F,G
1. Draw the network diagram
2. Determine the critical path
3. Find earlist and latest time of each event of the project in the network diagram
Chapter 3 Solutions
Operations Management
Ch. 3 - Prob. 1EDCh. 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 - Describe how expected activity times and variances...Ch. 3 - Define earliest start, earliest Finish, latest...Ch. 3 - Students are sometimes confused by the concept of...Ch. 3 - What are dummy activities? Why are they used in...Ch. 3 - What are the three time estimates used with PERT?Ch. 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 - Prob. 20DQCh. 3 - Draw the activity-on-node (AON) project network...Ch. 3 - Given the activities whose sequence is described...Ch. 3 - 3.5 Using AOA, diagram the network described below...Ch. 3 - Task time estimates for the modification of an...Ch. 3 - The activities needed to build a prototype laser...Ch. 3 - The activities described by the following table...Ch. 3 - A renovation of the gift shop at Orlando Amway...Ch. 3 - Kelle Carpet and Trim installs carpet in...Ch. 3 - The following is a table of activities associated...Ch. 3 - What is the minimum cost of crashing the following...Ch. 3 - Three activities are candidates for crashing on a...Ch. 3 - Development of Version 2.0 of a particular...Ch. 3 - The estimated times and immediate predecessors for...Ch. 3 - Rich Cole Control Devices, Inc., produces...Ch. 3 - Four Squares Productions, a firm hired to...Ch. 3 - Using PERT, Adam Munson was able to determine that...Ch. 3 - Clark Products makes pizza ovens for commercial...Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 8PCh. 3 - Prob. 13PCh. 3 - Prob. 15PCh. 3 - Prob. 17PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 28PCh. 3 - Prob. 33PCh. 3 - Project Management at Arnold Palmer Hospital Video...Ch. 3 - The equivalent of a new kindergarten class is born...Ch. 3 - The equivalent of a new kindergarten class is born...Ch. 3 - The equivalent of a new kindergarten class is born...Ch. 3 - At the Hard Rock Cafe, like many organizations,...Ch. 3 - At the Hard Rock Cafe, like many organizations,...Ch. 3 - At the Hard Rock Cafe, like many organizations,...Ch. 3 - At the Hard Rock Cafe, like many organizations,...
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- The R&D department is planning to bid on a large project for the development of a new communication system for commercial planes. The accompanying table shows the activities, times, and sequences required: ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS) A — 3 B A 2 C A 4 D A 4 E B 6 F C, D 6 G D, F 2 H D 3 I E, G, H 3 a. what is the critical path? b Suppose you want to shorten the completion time as much as possible, and you have the option of shortening any or all of B, C, D, and G each one week. Which would you shorten? c. after shortening, what would be the new critical path?arrow_forwardIMMEDIATE TIME IMMEDIATE ACTIVITY PREDECESSOR(S) (WEEKS) ACTIVITY PREDECESSORIS) 14 E CE a D C D H F.O 900 a) Choose the correct network to represent this ston OA b) Which activities are on the critical pay? The critical pathis What is the length of the critical parth? The length of the critical path is weeks (Enter your response as a whole number) OB 3 4 TIME (WECKS) OCarrow_forwardQ1: Draw the arrow diagram for the following activities and show the critical path: activity duration Pervious Follow A B,C B 4 A D,E 7 F,G D E 4 B H,I F 8 H,I G K,J D,E,F K I 4 E,F K,J J 4 G,I M,N K G,H,I L 2 4 J 6 L,M P CS Scanned with CamScannerarrow_forward
- To complete the problem the following is necessary. 1) project network diagram (AON), 2) table that shows ES, EF, LS, LF, and Slack for each activity, 3) How long will the project take to be completed?, 4) Which activities are critical? Immediate Time Activity Predecessors (weeks) A none 8 B A 2 C A 3 D A 60 E B 60 F C 2 G D 2 H…arrow_forwardPERT-CPM 1. Consider a project involving the following activities and precedence relationship. The cost of each activity is listed. The following activity time estimates have been provided for a preparation involving an MIS project. a. Draw the AON and AOA Diagram. b. Perform a Program Evaluation and Review Technique (PERT) to determine the expected total duration of the project. [Note: Use the diagramming convention agreed in class and tabulate the results for each activity's ES, EF, LS, LF, slack time and indication if it's in the critical path Note: Expected (Ave Time) = (0ptimistic Time + 4*Most Likely Time + PessimisticTime) / 6 = ( OT + 4MLT + PT ) / 6 c. If the project exceeds 11 weeks, there is an additional miscellaneous costs around Php 30,000. Will the company opt to speed up the project? Activity Predecessors Optimistic Most Pessimistic Crash Normal Crashed Likely Time Cost Cost A 2 4 6. 2 11,000 6,000 3,000 7,000 4,000 13,000 9,000 4,000 5,000 3,000 3 17.000 В 1 3 5 1…arrow_forward2. The R&D department is planning to bid on a large project for the development of a new communications system for commercial planes. The accompanying table shows the activities, times, and sequences required: Activity Immediate Predecessors Time (week) A 3 B A 2 C A 4 A 4 E B С, D D, F F G H D 3 I E, G, H 3 (1) Find the Early Start / Early Finish Time of Each Activity (2) Find the Late Start / Late Finish Time of Each Activity (3) Calculate the SLACK in each activityarrow_forward
- NB: Answer all the questions within 30 mins Table 1 Activity Predecessor Duration (weeks) A - 5 B A 4 C A 5 D B 6 E C 3 F D, E 4 Use Table 1 to calculate the following: Draw the resultant Gantt chart. Construct the PERT/CPM chart for the tasks as they appear in Table 1.[1] HINT: Do not forget the Start Date and Finish Date for each task. Indicate at minimum three dependent task patterns. Indicate all the multiple successor tasks. Indicate all the multiple predecessor tasks. Show the critical path of this project. Justify why the given critical path is valid.arrow_forwardConsider the following data for a project to install a new server at the Northland Pines High School: Activity a. Choose the correct network diagram below. O A. Activity Time (days) Immediate Predecessor(s) 3 5 6 A 4 B III 1 B 5 B, C 3 D, E 6 5 6 A B C E G O B. A F F G, H, Iarrow_forwardThe information in the table below is available for a large fund-raising project. Activity Activity Times (days) Activity Cost ($) Immediate Predecessor A 3 100 None B 4 150 None C 2 125 A D 5 175 B E 2 150 B F 4 200 C, D G 6 75 C H 2 50 C, D, E I 1 100 E J 4 75 D, E K 5 350 F, G L 3 150 G, H, I M 4 400 I, J N 4 175 K, M O 1 200 H, M P 5 150 N, L, O Draw the precedence network diagram. Perform the CPM (Critical Path Method) and give the complete activity schedule table, the project completion time, and the critical path. Plot on the same graph the total project costs per day, starting from day one to the completion date, assuming the earliest start times and then assuming the latest start times. What implications does the time differential have for cash flows and project scheduling? Show step by step solutionarrow_forward
- TASK 1 Activity Duration (days) Workers Preceding activities 2 2 None B 3 2 None 5 4 None a) Construct the network and find the duration. b) Find critical path and slacks for all non-critical activities. c) Draw a Gantt-diagram and a resource diagram where i) all activities starts as early as possible i) the resource usage is as smooth as possible (resource leveling).arrow_forwardPart 1: For the activities, duration, and sequence shown in the table below, prepare a Gantt chart with details. Activity Activity Description Depends Level Duration Code on (Day) 100 Inspect the machine after installation 300 4 200 Hire the operator None 25 300 Install the new machine 500,400 3 2 400 Insect and store the machine after 700 2 1 delivery 500 Hire labor to install the new machine None 1 20 600 Train the operator 200,300 4 3 700 Order and deliver the new machine None 30arrow_forwardThe following Table 1 contains a list of activities, with precedence requirements and crash costs. All start and finish times and crash costs are on a per-week basis. Table 1 Activity Predecessor Crash Time Normal Cost (Weeks) Normal Time Crash Cost (Weeks) $ A 10 7 2000 2600 A 12 1500 2000 C A 16 12 2200 300 D 8 7 2500 3000 E C 13 10 1950 2275 F D 9. 8 800 1000 G E, F 24 29 3650 4000 H G 17 14 1200 1800 a) Determine the project cost and duration without crashing. b) Determine the least expensive project cost if the duration is to be 10% shorter than normal project duration. c) Determine the least expensive project cost if the duration is to be 20% shorter than normal project duration.arrow_forward
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