5. An electric company is hired to run a power line to a nice house on a small island that is 16 miles from the nearest point on the shore. The nearest distribution hub to connect to is 30 miles down the shoreline. If it costs $500 per mile to run a power lines underwater and $300 per mile to run power lines on land, where on the shoreline should the company begin running the power line underwater to minimize cost? Island 16 mi Distribution Hub 30 mi

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. An electric company is hired to run a power line to a nice house on a small island that is 16 miles from the
nearest point on the shore. The nearest distribution hub to connect to is 30 miles down the shoreline. If it costs
$500 per mile to run a power lines underwater and $300 per mile to run power lines on land, where on the
shoreline should the company begin running the power line underwater to minimize cost?
Island
16 mi
Distribution Hub
X
30 mi
Transcribed Image Text:5. An electric company is hired to run a power line to a nice house on a small island that is 16 miles from the nearest point on the shore. The nearest distribution hub to connect to is 30 miles down the shoreline. If it costs $500 per mile to run a power lines underwater and $300 per mile to run power lines on land, where on the shoreline should the company begin running the power line underwater to minimize cost? Island 16 mi Distribution Hub X 30 mi
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