Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Chapter 8, Problem 63E
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Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients.
Based on the different backgrounds and experiences of the leaders, the various leader-client assignments differ in terms of
projected completion times. The possible assignments and the estimated completion times in days are as follows.
Client
Project Leader
Jackson
Elis
Smith
22 24 24
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
This answer has not been graded yet
Min
(b) Formulate the problem as a linear program. (Express your answers in the form x, where x, represents the completion time
from leader / to client J.)
st.
Jackson
Elis
Smith
Client 1
Client 2
Client 3
x20 for all, J.
Solve
Relationship Assignment Time (days)
"11
*12
*13
*21
10 16 32
*22
*31
*32
711
What is the total time required (in days)?
days
In solving a problem where 100 different products (100 real variables) are produced using just two resources (2 slack variables), then the combination that will yield the optimal profis
A. to produce all 100 products if both resources are used to full capacity.
B. to produce, at most 2 products.
C. none of the choices are correct.
D. to produce only one product.
A service has five tasks, performed in sequence. In the instance when there is more than one worker assigned to a task, each worker performs the entire task and they both can be working on different “items” at the same time.
Task
Task time per worker
Number of workers
1
2 minutes
1
2
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1
3
14 minutes
2
4
4 minutes
1
5
15 minutes
3
What is the capacity (hourly) of the process as a whole?
What is the bottleneck of the process?
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Chapter 8 Solutions
Excursions in Modern Mathematics (9th Edition)
Ch. 8 - For the digraph shown in Fig. 8-25, find a.the...Ch. 8 - For the digraph shown in Fig. 8-26, find Figure...Ch. 8 - For the digraph in Fig. 8-25, find a.all path of...Ch. 8 - For the digraph in Fig. 8-26, find a.a path of...Ch. 8 - For the digraph in Fig. 8-25, find a.all cycles of...Ch. 8 - For the digraph in Fig. 8-26, find a.all cycles of...Ch. 8 - Prob. 7ECh. 8 - For the digraph in Fig.8-26, find a.all vertices...Ch. 8 - a.Draw a digraph with vertex-set V={A,B,C,D} and...Ch. 8 - a.Draw a digraph with vertex-set V={A,B,C,D} and...
Ch. 8 - Prob. 11ECh. 8 - Consider the digraph with vertex-set V={V,W,X,Y,Z}...Ch. 8 - Prob. 13ECh. 8 - Prob. 14ECh. 8 - Prob. 15ECh. 8 - A mathematics textbook consists of 10 chapters....Ch. 8 - Prob. 17ECh. 8 - The digraph in Fig. 8-29 is an example of a...Ch. 8 - Prob. 19ECh. 8 - Wobble, a start-up company, is developing a search...Ch. 8 - A project consists of eight tasks labeled A...Ch. 8 - A project consists of eight tasks labeled A...Ch. 8 - Prob. 23ECh. 8 - Prob. 24ECh. 8 - Prob. 25ECh. 8 - A ballroom is to be set up for a large wedding...Ch. 8 - Prob. 27ECh. 8 - Prob. 28ECh. 8 - Exercises 29 through 32 refer to a project...Ch. 8 - Exercises 29 through 32 refer to a project...Ch. 8 - Prob. 31ECh. 8 - Exercises 29 through 32 refer to a project...Ch. 8 - Prob. 33ECh. 8 - Exercises33 and 34 refer to the Martian Habitat...Ch. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - Using the priority list G,F,E,D,C,B,A, schedule...Ch. 8 - Prob. 39ECh. 8 - Using the priority list G,F,E,D,C,B,A, schedule...Ch. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - Prob. 43ECh. 8 - Use the decreasing-time algorithm to schedule the...Ch. 8 - Prob. 45ECh. 8 - Use the decreasing-time algorithm to schedule the...Ch. 8 - Prob. 47ECh. 8 - Consider the project described by the digraph...Ch. 8 - Consider the project described by the digraph...Ch. 8 - Consider the project described by the digraph...Ch. 8 - Consider the project digraph shown in Fig.8-40....Ch. 8 - Consider the project digraph shown in Fig.8-40....Ch. 8 - Prob. 53ECh. 8 - Consider the project digraph shown in Fig.8-41....Ch. 8 - Schedule the Apartments Unlimited project given in...Ch. 8 - Schedule the project given in Exercise26 Table8-5...Ch. 8 - Consider the project described by the project...Ch. 8 - Consider the project digraph shown in Fig.8-43,...Ch. 8 - Prob. 59ECh. 8 - Symmetric and totally asymmetric digraphs. A...Ch. 8 - Prob. 61ECh. 8 - Let W represent the sum of the processing times of...Ch. 8 - You have N=2 processors to process M independent...Ch. 8 - You have N=3 processors to process M independent...Ch. 8 - You have N=2 processor to process M+1 independent...
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