Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: 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
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
6 minutes
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?
What is the throughput time (assuming no wait time)?
Where would you expect customers to wait?
RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at different
locations. It then transports the cars to repair shops it contracts with. When they are restored to RVW's
specifications, RVW sells 10 each to three different used car lots. There are various costs associated with
the average purchase and transportation prices from each auction to each repair shop. Also there are
transportation costs from the repair shops to the used car lots. RVW is concerned with minimizing its
total cost given the costs in the table below.
a. Given the costs below, draw a network representation for this problem.
Used Car Lots
L2
Repair Shops
si
550
600
S2
500
LI
L3
500
Auction 1
sI
250
300
Auction 2
450
S2
350
650
450
b. Formulate this problem as a transshipment linear programming model.
Report the optimal solution using excel solver.
с.
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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