An island is 3.5 miles from the nearest point on a straight shoreline; that point is 8 miles from a power station. A utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that it costs $2400 / mile to lay underwater cable and $1200 / mile to lay underground cable. At what point should the underwater cable meet the shore in order to minimize the cost of the project? step by step explanation

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