11.3-4. A county chairwoman of a certain political party is making plans for an upcoming presidential election. She has received the services of six volunteer workers for precinct work, and she wants to assign them to four precincts in such a way as to maximize their effectiveness. She feels that it would be inefficient to assign a worker to more than one precinct, but she is willing to assign no workers to any one of the precincts if they can accomplish more in other precincts. The following table gives the estimated increase in the number of votes for the party's candidate in each precinct if it were allocated various numbers of workers: Page 457 Precinct Workers 1 2 3 4 0 0 0 0 0 4 7 5 6 9 11 10 11 15 16 15 14 18 18 18 16 22 20 21 17 24 21 22 18 This problem has several optimal solutions for how many of the six workers should be assigned to each of the four precincts to maximize the total estimated increase in the plurality of the party's candidate. Use dynamic programming to find all of them so the chairwoman can make the final selection based on other factors.
11.3-4. A county chairwoman of a certain political party is making plans for an upcoming presidential election. She has received the services of six volunteer workers for precinct work, and she wants to assign them to four precincts in such a way as to maximize their effectiveness. She feels that it would be inefficient to assign a worker to more than one precinct, but she is willing to assign no workers to any one of the precincts if they can accomplish more in other precincts. The following table gives the estimated increase in the number of votes for the party's candidate in each precinct if it were allocated various numbers of workers: Page 457 Precinct Workers 1 2 3 4 0 0 0 0 0 4 7 5 6 9 11 10 11 15 16 15 14 18 18 18 16 22 20 21 17 24 21 22 18 This problem has several optimal solutions for how many of the six workers should be assigned to each of the four precincts to maximize the total estimated increase in the plurality of the party's candidate. Use dynamic programming to find all of them so the chairwoman can make the final selection based on other factors.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Transcribed Image Text:11.3-4. A county chairwoman of a certain political party is making plans for an upcoming
presidential election. She has received the services of six volunteer workers for precinct work,
and she wants to assign them to four precincts in such a way as to maximize their
effectiveness. She feels that it would be inefficient to assign a worker to more than one
precinct, but she is willing to assign no workers to any one of the precincts if they can
accomplish more in other precincts.
The following table gives the estimated increase in the number of votes for the
party's candidate in each precinct if it were allocated various numbers of workers:
Page 457
Precinct
Workers
1
2
3
4
0
0
0
0
0
4
7
5
6
9
11
10
11
15
16
15
14
18
18
18
16
22
20
21
17
24
21
22
18
This problem has several optimal solutions for how many of the six workers should be
assigned to each of the four precincts to maximize the total estimated increase in the plurality
of the party's candidate. Use dynamic programming to find all of them so the chairwoman can
make the final selection based on other factors.
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