Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 43E
This exercise is a continuation of Darren's sales trip problem (Exercise 39). Find the repetitive nearest-neighbor tour, and give the total cost for this tour. Write the answer using Atlanta as the starting city.
39. Darren is a sales rep whose territory consists of the six cities in the mileage chart shown in Fig. 6-45. Darren wants to visit customers at each of the cities, starting and ending his trip in his home city of Atlanta. His travel costs (gas, insurance, etc.) average $0.75 per mile.
a. Find the nearest-neighbor tour with Atlanta as the starting city. What is the total cost of this tour?
b. Find the nearest-neighbor tour using Kansas City as the starting city. Write the tour as it would be traveled by Darren, who must start and end the trip in Atlanta. What is the total cost of this tour?
Mileage chart
| Atlanta | Columbus | Kansas City | Minneapolis | Pierre | Tulsa | |
| Atlanta | * | 533 | 798 | 1068 | 1361 | 772 |
| Columbus | 533 | * | 656 | 713 | 1071 | 802 |
| Kansas City | 798 | 656 | * | 447 | 592 | 248 |
| Minneapolis | 1068 | 713 | 447 | * | 394 | 695 |
| Pierre | 1361 | 1071 | 592 | 394 | * | 760 |
| Tulsa | 772 | 802 | 248 | 695 | 760 | * |
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Chapter 6 Solutions
Excursions In Modern Mathematics, 9th Edition
Ch. 6 - For the graph shown in Fig. 6-19, a.find three...Ch. 6 - For the graph shown in Fig. 6-20, a.find three...Ch. 6 - Find all possible Hamilton circuits in the graph...Ch. 6 - Find all possible Hamilton circuits in the graph...Ch. 6 - For the graph shown in Fig.6-23, a. find a...Ch. 6 - For the graph shown in Fig.6-24, a. find a...Ch. 6 - Suppose D,G,E,A,H,C,B,F,D is a Hamilton circuit in...Ch. 6 - Suppose G,B,D,C,A,F,E,G is a Hamilton circuit in a...Ch. 6 - Consider the graph in Fig. 6-25. a. Find the five...Ch. 6 - Consider the graph in Fig.6-26. a. Find all the...
Ch. 6 - Consider the graph in Fig.6-27. a. Find all the...Ch. 6 - Prob. 12ECh. 6 - For the graph in Fig.6-29 a. find a Hamilton path...Ch. 6 - For the graph in Fig.6-30 a. find a Hamilton path...Ch. 6 - Explain why the graph shown in Fig.6-31 has...Ch. 6 - Explain why the graph shown in Fig.6-32 has...Ch. 6 - For the weighted shown in Fig 6-33, a.find the...Ch. 6 - For the weighted graph shown in Fig6-34, a.find...Ch. 6 - For the weighted graph shown in Fig6-35, a.find a...Ch. 6 - For the weighted graph shown in Fig6-36, a.find a...Ch. 6 - Suppose you have a supercomputer that can generate...Ch. 6 - Suppose you have a supercomputer that can generate...Ch. 6 - Prob. 23ECh. 6 - a. How many edges are there in K200? b. How many...Ch. 6 - In each case, find the value of N. a. KN has 120...Ch. 6 - In each case, find the value of N. a. KN has 720...Ch. 6 - Find an optimal tour for the TSP given in...Ch. 6 - Find an optimal tour for the TSP given in...Ch. 6 - A truck must deliver furniture to stores located...Ch. 6 - A social worker starts from her home A, must visit...Ch. 6 - You are planning to visit four cities A, B, C, and...Ch. 6 - An unmanned rover must be routed to visit four...Ch. 6 - For the weighted graph shown in Fig.6-41, i find...Ch. 6 - A delivery service must deliver packages at...Ch. 6 - Prob. 35ECh. 6 - A space mission is scheduled to visit the moons...Ch. 6 - This exercise refers to the furniture truck TSP...Ch. 6 - This exercise refers to the social worker TSP...Ch. 6 - Darren is a sales rep whose territory consists of...Ch. 6 - The Platonic Cowboys are a country and western...Ch. 6 - Find the repetitive nearest-neighbor tour and give...Ch. 6 - Prob. 42ECh. 6 - This exercise is a continuation of Darrens sales...Ch. 6 - This exercise is a continuation of the Platonic...Ch. 6 - Prob. 45ECh. 6 - Prob. 46ECh. 6 - Find the cheapest-link tour and give its cost for...Ch. 6 - Find the cheapest-link tour for the social worker...Ch. 6 - For the Brute-Force Bandits concert tour discussed...Ch. 6 - For the weighted graph shown in Fig.6-47, find the...Ch. 6 - For Darrens sales trip problem discussed in...Ch. 6 - For the Platonic Cowboys concert tour discussed in...Ch. 6 - A rover on the planet Mercuria has to visit six...Ch. 6 - A robotic laser must drill holes on five sites A,...Ch. 6 - Prob. 55ECh. 6 - Prob. 56ECh. 6 - Suppose that in solving a TSP you find an...Ch. 6 - Prob. 58ECh. 6 - Prob. 59ECh. 6 - Prob. 60ECh. 6 - Prob. 61ECh. 6 - If the number of edges in K500 is x and the number...Ch. 6 - Explain why the cheapest edge in any graph is...Ch. 6 - a. Explain why the graph that has a bridge cannot...Ch. 6 - Julie is the marketing manager for a small...Ch. 6 - 66. m by n grid graphs. An m by n grid graph...Ch. 6 - Complete bipartite graphs. A complete bipartite...Ch. 6 - Prob. 68ECh. 6 - Diracs theorem. If G is a connected graph with N...
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