Assume that you are located at (A) which is New Orleans. Let Boston (B), Chicago (C) , Denver (D), and El Paso (E) represent four cities. Use the Brute Force Method to find the optimal solution to visiting each of the cities and returning home.  Use the Nearest Neighbor Method to approximate the optimal solution.  Identify how much money is being saved by using the optimal solution instead of the approximation.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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  • Assume that you are located at (A) which is New Orleans. Let Boston (B), Chicago (C) , Denver (D), and El Paso (E) represent four cities.
  • Use the Brute Force Method to find the optimal solution to visiting each of the cities and returning home. 
  • Use the Nearest Neighbor Method to approximate the optimal solution. 
  • Identify how much money is being saved by using the optimal solution instead of the approximation. 
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