Minimizing distance and cost. From the center of Bridgeton, a water main runs northwest at a 45 ° angle relative to due north and due west A new house is being built at a point 2 miles west and 1 mile north of the center of town. The cost to connect the house to the water main is $8,000 per mile. What is the shortest possible distance (to three decimal places) from the house to the water main, and what would be the minimum cost, to the nearest dollar, of connecting the house to the water main?
Minimizing distance and cost. From the center of Bridgeton, a water main runs northwest at a 45 ° angle relative to due north and due west A new house is being built at a point 2 miles west and 1 mile north of the center of town. The cost to connect the house to the water main is $8,000 per mile. What is the shortest possible distance (to three decimal places) from the house to the water main, and what would be the minimum cost, to the nearest dollar, of connecting the house to the water main?
Minimizing distance and cost. From the center of Bridgeton, a water main runs northwest at a
45
°
angle relative to due north and due west A new house is being built at a point 2 miles west and 1 mile north of the center of town. The cost to connect the house to the water main is $8,000 per mile. What is the shortest possible distance (to three decimal places) from the house to the water main, and what would be the minimum cost, to the nearest dollar, of connecting the house to the water main?
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