question archive An island is located 3 miles off the shore of the mainland

An island is located 3 miles off the shore of the mainland

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An island is located 3 miles off the shore of the mainland. A fiber optic cable is to be built connecting the island to the mainland. The switching plant for the cable company located 10 miles along the coast from a point directly opposite the island. It has been determined that it will cost $20,000 per mile to place the cable in the ocean and $15,000 per mile to place the cable along the shoreline. Where should the underwater cable meet the shoreline in order to minimize the construction cost? . After waiting for the completion of the design phase and the acceptance of bids, it was found that the costs have changed to $26,000 per mile for the underwater cable and $25,000 per mile for the shoreline cable. Should the place where the cable meets the shoreline be adjusted? Explain why your answer did or did not change.

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