Altay lives in Boston, Massachusetts, and works for Ocean Spray Cranberries, Inc. Altay wishes to visit cranberry farms in the following locations: Madison, Wisconsin; Princeton, New Jersey; Salem, Oregon; and Walla Walla, Washington. 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 Altay to travel to each city and return to Boston. Give the cost of the route determined.

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Boston Madison Princeton Salem Walla Walla Boston $ 256 $298 $131 $ 576 $356 $ 970 Madison $131 $ 154 $256 $154 Princeton $353 $1164 $356 $298 $ 353 $ 179 Salem Walla Walla $576 $970 $179 $1164