Two homes are located 12 km apart (at points A and B). They are on a straight street that runs parallel to the highway that is 20 km away (see diagram). The hydroelectric company that services the area decides to run a wire from the main power line at the highway to an electrical box (at point J), and from there, wires of equal length are run from the electric box to each home. How far away from the highway should the electrical box be Highway 20 km placed in order to minimize the total amount of wire needed? 12km

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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Two homes are located 12 km apart
(at points A and B). They are on a
straight street that runs parallel to the
highway that is 20 km away (see
diagram). The hydroelectric company
that services the area decides to run
a wire from the main power line at the
highway to an electrical box (at point
J), and from there, wires of equal
length are run from the electric box to
each home. How far away from the
highway should the electrical box be
Highway
20 km
placed in order to minimize the total amount of wire needed?
12km
Transcribed Image Text:Two homes are located 12 km apart (at points A and B). They are on a straight street that runs parallel to the highway that is 20 km away (see diagram). The hydroelectric company that services the area decides to run a wire from the main power line at the highway to an electrical box (at point J), and from there, wires of equal length are run from the electric box to each home. How far away from the highway should the electrical box be Highway 20 km placed in order to minimize the total amount of wire needed? 12km
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