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 is 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.
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 is 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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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