A sales rep whose territory consists of the six cities in the mileage chart shown to the right. Darren wants to visit customers at each of the cities, starting and ending his trip in his home city A. His travel costs (gas, insurance, etc.) average $1.28 per mile. Complete parts (a) and (b) below. A B D E F A 231 508 920 1265 990 B 231 387 240 1125 955 508 387 638 1198 971 D 920 240 638 1090 966 E 1265 1125 1198 1090 1021 F 990 955 971 966 1021 a) Find the nearest-neighbor tour with city A as the starting city. What is the total cost of this tour? Write the nearest-neighbor tour with city A as the starting city. A, B, D, C, F, E, A (Use a comma to separate vertices as needed.) Find the total cost of this tour. $ 5588.48 (Type an integer or a decimal.) b) Find the nearest-neighbor tour using B as the starting city. Write the tour as it would be traveled by the chief executive officer, who must start and end the trip in city A. What the total cost f this tour? Write the nearest-neighbor tour using B as the starting city, but written with A as the starting and ending city. O(Use a comma to separate vertices as needed.)

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ISBN:9780470458365
Author:Erwin Kreyszig
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A sales rep whose territory consists of the six cities in the mileage chart shown to the right. Darren wants to
visit customers at each of the cities, starting and ending his trip in his home city A. His travel costs (gas,
insurance, etc.) average $1.28 per mile. Complete parts (a) and (b) below.
A
В
E
F
A
*
231
508
920
1265
990
В
231
387
240
1125
*
955
508
387
971
*
638
1198
920
240
638
1090
966
E
1265
1125
1198
1090
1021
F
990
955
971
966
1021
*
a) Find the nearest-neighbor tour with city A as the starting city. What is the total cost of this tour?
Write the nearest-neighbor tour with city A as the starting city.
A, B, D, C, F, E, A (Use a comma to separate vertices as needed.)
Find the total cost of this tour.
$ 5588.48 (Type an integer or a decimal.)
b) Find the nearest-neighbor tour using B as the starting city. Write the tour as it would be traveled by the chief executive officer, who must start and end the trip in city A. What is the total cost of this tour?
Write the nearest-neighbor tour using B as the starting city, but written with A as the starting and ending city.
(Use a comma to separate vertices as needed.)
Transcribed Image Text:A sales rep whose territory consists of the six cities in the mileage chart shown to the right. Darren wants to visit customers at each of the cities, starting and ending his trip in his home city A. His travel costs (gas, insurance, etc.) average $1.28 per mile. Complete parts (a) and (b) below. A В E F A * 231 508 920 1265 990 В 231 387 240 1125 * 955 508 387 971 * 638 1198 920 240 638 1090 966 E 1265 1125 1198 1090 1021 F 990 955 971 966 1021 * a) Find the nearest-neighbor tour with city A as the starting city. What is the total cost of this tour? Write the nearest-neighbor tour with city A as the starting city. A, B, D, C, F, E, A (Use a comma to separate vertices as needed.) Find the total cost of this tour. $ 5588.48 (Type an integer or a decimal.) b) Find the nearest-neighbor tour using B as the starting city. Write the tour as it would be traveled by the chief executive officer, who must start and end the trip in city A. What is the total cost of this tour? Write the nearest-neighbor tour using B as the starting city, but written with A as the starting and ending city. (Use a comma to separate vertices as needed.)
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