Question

An island is 3 miles from the nearest point on a straight shoreline. That point is 14 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 $3200/mile to lay cable underwater and $1600/mile to lay underground cable. A. At what point should the underwater cable meet the shore to minimize the cost of the project? Round to two decimal places. B. What is the minimum installation cost?

Name: an island is 3 miles from the nearest point on a straight shoreline that point is 14 miles from a power station a utility company plans to lay electrical cable underwater from the island to 09824
Uploaded: 2023-07-06T13:53:46-08:00
Duration: 9 min 8 s
Channel: Crystal Wang
Description: an island is 3 miles from the nearest point on a straight shoreline that point is 14 miles from a power station a utility company plans to lay electrical cable underwater from the island to 09824

          An island is 3 miles from the nearest point on a straight shoreline. That point is 14 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 $3200/mile to lay cable underwater and $1600/mile to lay underground cable.

A. At what point should the underwater cable meet the shore to minimize the cost of the project? Round to two decimal places.
B. What is the minimum installation cost?

Added by Audrey C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Crystal Wang

07/06/2023

Step 1

Let x be the distance from the nearest point on the shoreline to the point where the underwater cable meets the shore. Show more…

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An island is 3 miles from the nearest point on a straight shoreline. That point is 14 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 $3200/mile to lay cable underwater and $1600/mile to lay underground cable. A. At what point should the underwater cable meet the shore to minimize the cost of the project? Round to two decimal places. B. What is the minimum installation cost?