1. A textbook publishing company has developed two new sales regions and is planning to transfer some of its existing sales force into these two regions. The company has 10 sales person available for the transfer. Because of the different geographic configurations and the location of schools in each region, the average annual expenses for a salesperson differ in the two regions; the average is $10,000 per sales person in region 1 and $ 7,000 per salesperson in region 2. The total annual expense budget for the new region is $72,000. It is estimated that a sales person in region 1 will generate an average of $85,000 in sales each year and a salesperson in region 2 will generate $60,000 annually in sales. Solve this integer programming problem using branch and bound method. 2 In the novel Around
1. A textbook publishing company has developed two new sales regions and is planning to transfer some of its existing sales force into these two regions. The company has 10 sales person available for the transfer. Because of the different geographic configurations and the location of schools in each region, the average annual expenses for a salesperson differ in the two regions; the average is $10,000 per sales person in region 1 and $ 7,000 per salesperson in region 2. The total annual expense budget for the new region is $72,000. It is estimated that a sales person in region 1 will generate an average of $85,000 in sales each year and a salesperson in region 2 will generate $60,000 annually in sales. Solve this integer programming problem using branch and bound method. 2 In the novel Around
Practical Management Science
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
Transcribed Image Text:1. A textbook publishing company has developed two new sales regions and is planning to transfer some of its
existing sales force into these two regions. The company has 10 sales person available for the transfer. Because of
the different geographic configurations and the location of schools in each region, the average annual expenses for
a salesperson differ in the two regions; the average is $10,000 per sales person in region 1 and $7,000 per
salesperson in region 2. The total annual expense budget for the new region is $72,000. It is estimated that a sales
person in region 1 will generate an average of $85,000 in sales each year and a salesperson in region 2 will
generate $60,000 annually in sales. Solve this integer programming problem using branch and bound method.
2. In the novel Around the Worlds in 80 days by Jules Verne, Phileas T. Fogg wagered four of his fellow members of
the reform club in London $5,000 apiece that he could travel around the world in 80 days. This would have been
an astounding feat in 1872, the year the novel is set. Then the fastest modes of travel were rail and ships, however,
much of the world still traveled by coach, wagon, horse elepha or donkey, or on foot. Phileas Fogg was not a
frivolous man. He would not have undertaken such large wager if he had not carefully researched the feasibility of
such trip and been confident of his chances. Although he undoubtedly analyzed various routes to circumvent the
globe, he did not have knowledge of techniques such as the shortest route method, nor did he have computer to
help him select an optimal route. If he had, he might have chosen a route that would have completed his trip in
less than 80 days or possibly would not have been so quick to make a wager. On the next page is a map of the
various routes of the day for travelling around the world from London. Fogg travelled eastward. The travel time, in
days, is shown on each branch. Travel times are based as much on available modes of transportation at the time as
on distance. Using the shortest route method select the best route for Mr.Fogg. Would the route you determined
have won him his wager?
 alt="Seattle 9
421
3
San Denver 3
Francisco
41
43
Los
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48
6
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8 Chicago 3
50
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Montreal John's 7
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New York
9
5
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49 5 Baltimore
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Louis
San Juan 46
45
Panama
9
10 4/
7 Lisbon 20
17
15
London
3
2
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6
3 4
27
Madrid
3
Paris
3
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5
92
Berlin
10
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Naples
3
3
9
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19
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10
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23
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8.
15
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31
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34
8.
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32
4
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2/Shanghai
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36
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CHAPTER 10
NETWORK FLOW MODELS
San Juan
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Transcribed Image Text:Seattle 9
421
3
San Denver 3
Francisco
41
43
Los
Angeles
Winnipeg
48
6
5
8 Chicago 3
50
St.
Montreal John's 7
51
54
47 4
53
4
New York
9
5
52
49 5 Baltimore
St.
Louis
San Juan 46
45
Panama
9
10 4/
7 Lisbon 20
17
15
London
3
2
Copenhagen
6
3 4
27
Madrid
3
Paris
3
Casablanca
5
92
Berlin
10
42
4
5
Prague 4
4
Barcelona 2
6
5
3
Stockholm 18
(14) 4
5 Gibraltar
8
St. Petersburg
Algiers
2 13
Malta
16
12 Budapest
Naples
3
3
9
4
7
15) Minsk
3
Moscow
19
20
9
Kiev
Istanbul
21
3
17 Athens
3
Cairo 22
10
12
14.
23
Aden
20
23
18
24
Tehran
8.
15
12
25
4
5
Novosibirsk
27
Kabul
26 8 Delhi
6 29
Karachi 4
28 4
Bombay 6
24
Calcutta
3
30
Madras
23
25
31
4
Beijing
34
8.
Bangkok
32
4
5
3
33
Singapore
5
5
Yokohama
9 [39
37 2
2/Shanghai
35
Hong Kong
2
36
Jakarta
5
28
22
Seattle
42
24
26
Denver
San Francisco 47
41
3
43 Los Angeles
12
9
40
38
Darwin Port Moresby
Winnipeg
48
18
48
44 Marquesas
CHAPTER 10
NETWORK FLOW MODELS
San Juan
46
9
45 Panama
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