Minimizing distance and cost. A highway passes by the small town of Las Cienegas. From Las Cienegas, the highway is 5 miles to the north and 3 miles to the east. Assume that the highway is straight as it passes through this region. The town wants to build an access road at a cost of $250,000 per mile to connect to the highway. What is the shortest possible distance (to three decimal places) from Las Cienegas to the highway, and what would be the minimum cost, to the nearest dollar, of constructing such a road?

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