An island is 6miles from the nearest point  on a straight shoreline, that point is 15 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 $3000/mile to lay cable underwater and $1800/mile to lay cable underground. At what point should the underwater cable meet the shore to minimize the cost of the project?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.5: Solve Applications Of Quadratic Equations
Problem 9.79TI: MaryAnne just returned from a visit with her grandchildren back east. The trip was 2400 miles from...
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An island is 6miles from the nearest point  on a straight shoreline, that point is 15 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 $3000/mile to lay cable underwater and $1800/mile to lay cable underground. At what point should the underwater cable meet the shore to minimize the cost of the project?

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