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8. An island in need of electricity is 5 miles north from the nearest point on a straight shoreline. Eight miles from that point, next

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8. An island in need of electricity is 5 miles north from the nearest point on a straight shoreline. Eight miles from that point, next to the shore= is the nearest power station. A utility company plans to lay electric cables underwater from the island to the shore and then underground along the shore to the power station to get. electricity to the island. Assume it costs $2500 per mile to lay underwater cable and $1200 per mile to lay underground cable. a) How far away from the power station should the underwater cable meet the un- derground cable to minimize the cost of the project. Bound to the nearest tenth of a mile. (10 points) b) How much will the proposed project cost? Bound to the nearest cent. (4 points)

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