A city planner wants to work with community leaders to develop a system of walker-friendly paths between the city's five parks. Since cost is an issue, the planner collects data on the cost of each park-to-park route. The planner uses the Nearest Neighbor method to determine an estimate of a least cost system of sidewalks that would allow a walker to visit each park once and return to the park where the walker has parked his/her car. The weighted graph below shows the cost of each possible path in thousands of dollars.
A city planner wants to work with community leaders to develop a system of walker-friendly paths between the city's five parks. Since cost is an issue, the planner collects data on the cost of each park-to-park route. The planner uses the Nearest Neighbor method to determine an estimate of a least cost system of sidewalks that would allow a walker to visit each park once and return to the park where the walker has parked his/her car. The weighted graph below shows the cost of each possible path in thousands of dollars.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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14

Transcribed Image Text:A city planner wants to work with community leaders to develop a system of walker-friendly paths between
the city's five parks. Since cost is an issue, the planner collects data on the cost of each park-to-park route.
The planner uses the Nearest Neighbor method to determine an estimate of a least cost system of
sidewalks that would allow a walker to visit each park once and return to the park where the walker has
parked his/her car.
The weighted graph below shows the cost of each possible path in thousands of dollars.
184
113
131,
178
163
124
115
A
125
193
152
Starting and ending at vertex A, what is the minimum cost to construct paths as estimated by the Nearest-
Neighbor method?
Make sure you convert your answer to thousands (examples 838
838000)
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