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An electric utility is required to run a cable from a transformer station on the shore of a lake to an Island. The Island is

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An electric utility is required to run a cable from a transformer station on the shore of a lake to an Island. The Island is 6 km from shore and the station is 12 him down the shoreline from a point opposite the island. It costs $4000/bm to run the cable on land and $5000/kim underwater. Find the path the cable should take for the minimum cost of installation

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