Jim, the chief executive officer of Bass Pro Shops, is at his office in Springfield, Missouri, and is considering adding new stores in the following locations: Bismarck, North Dakota; Carson City, Nevada; Helena, Montana; and Knoxville, Tennessee. He wishes to visit each of these locations and return to his office in Springfield. The one-way flight prices are given in the following table.

(a) Represent this traveling salesman problem with a complete, weighted graph showing the prices of flights on the appropriate edges. 

(b) Use the nearest neighbor method to approximate the optimal route for Jim to travel to each city and return to Springfield. Give the cost of the route determined.

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Carson Bismarck City Helena Knoxville Springfield $431 $483 $476 $378 Bismarck $144 Carson City $431 $159 $505 $483 $144 $542 $492 Helena $476 $159 $542 $459 Knoxville Springfield $378 $505 $492 $459