Suppose that in solving a TSP you use the nearest-neighbor algorithm and find a nearest-neighbor tour with a total cost of $13,500. Suppose that you later find out that the cost of an optimal tour is $12,000. What was the relative error of your nearest-neighbor tour? Express your answer as a percentage, rounded to the nearest tenth of a percent.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Suppose that in solving a TSP you use the nearest-neighbor
algorithm and find a nearest-neighbor tour with a total cost
of $13,500. Suppose that you later find out that the cost of
an optimal tour is $12,000. What was the relative error of
your nearest-neighbor tour? Express your answer as a percentage,
rounded to the nearest tenth of a percent.

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