Practical Operations Management
2nd Edition
ISBN: 9781939297136
Author: Simpson
Publisher: HERCHER PUBLISHING,INCORPORATED
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Chapter 7, Problem 9P
Summary Introduction
Interpretation: Late start time is to be determined when early start time is 7.
Concept Introduction: Critical path is the arrangement of project activities which gives an estimate time duration under which project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
PERT diagram is a graphical project management tool used to organize and analyze project and its activity. It defines time duration for a project and also for each activity in a project.
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An activity on a PERT network has these time estimates: optimistic = 2, most likely = 3, and pessimistic = 6. What is its expected activity time and variance?
3.67; 1
O 4.33; 1
O 3.33; 0.44
O 4; 0.44
A project consist of 5 activities A,B,C,D,E with ES, EF, LS and LF of A (0, 6, 9, 15); B (0, 7, 0, 7); C (6, 13, 15, 22); D (7, 13, 7, 13); E (13, 22, 13, 22). Normal Time (in month), Crash time (in month), Normal cost (in million Rp), Crash cost (in million Rp) from each activity are A (6, 4, 20, 24); B (7, 5, 30, 35); C (7, 6, 10, 13); D (6, 4, 20, 26); E (9, 8, 88, 90)
a. What activities are in the critical path? How long is the project duration?
b. If we want to crash the project for 2 months, what activities need to be crashed? How much additional cost required?
The 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?
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Chapter 7 Solutions
Practical Operations Management
Ch. 7 - Prob. 1DQCh. 7 - Prob. 2DQCh. 7 - Prob. 3DQCh. 7 - Prob. 4DQCh. 7 - Prob. 5DQCh. 7 - Prob. 6DQCh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4P
Ch. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 1.1QCh. 7 - Prob. 1.2QCh. 7 - Prob. 1.3QCh. 7 - Prob. 1.4QCh. 7 - Prob. 2.1QCh. 7 - Prob. 2.2QCh. 7 - Prob. 2.3Q
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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
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- In one of the little-known battles of the Civil War, General Tecumseh Beauregard lost the Third Battle of Bull Run because his preparations were not complete when the enemy attacked. If the critical path method had been available, the general could have planned better. Suppose that the following planning network, with activity times in days, had been available: Determine the earliest and latest activity times and the activity slack for the network. Indicate the critical path and the time between the general’s receipt of battle orders and the onset of battle.arrow_forwardCalculate expected time, critical path, variance, standard deviation, slack timearrow_forwardDraw the Gantt Chart with Nodes (Early Start, Early Finish, Late Start, Late Finish, Slack and Duration) Draw Critical Patharrow_forward
- Development of Version 2.0 of a particular accounting software product is being considered by Jose Noguera's technology firm in Baton Rouge. The activities necessary for the completion of this project are listed in the following table: Activity Normal Time (weeks) Crash Time (weeks) Normal Cost Total Cost with Crashing Immediate Predecessor(s) A 4 3 $2,100 $2,800 — B 2 1 $2,300 $3,100 — C 3 3 $600 $600 — D 8 4 $2,400 $2,680 A E 6 3 $1,000 $1,450 B F 3 2 $3,200 $4,600 C G 4 2 $1,400 $2,000 D, E Part 2 a) Based on the given information regarding the activities for the project, the project length = enter your response here weeks.arrow_forwardA project consists of seven activities, lettered A through F below. For each activity, the estimated normal time in number of weeks, crash time, normal cost, crash cost, and its preceding activity are given. Normal Time Crash Time Normal Cost Crash Cost Immediate Activity (weeks) (weeks) (Peso) (Peso) Predecessor(s) A 4 3 2,000 2,600 B 1 2,200 2,800 3 500 500 D 8 4 2,300 2,600 A E 6 900 1,200 В F 3 3,000 4,200 G 4 1,400 2,000 D, E If you wish to reduce the time required to complete this project by one week, which activity should be crashed? O Activity C O Activity D O Activity E O Activity B O Activity Aarrow_forwardGiven the following activity network: Three nodes - A1, A2, A3; two paths - A1, A2 and A1, A3. Activity A1 takes 5 weeks, A2 takes 8 weeks, and A3 takes 2 weeks. What is the slack time for A1? A. 5 B. 3 C. 8 D. 0arrow_forward
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