A cable will be installed from a farmhouse to a series of telephone poles. Part of the cable will be installed underground, D, with a cost of $260 per foot and part will be installed atop the telephone poles, L, with a cost of $30 per foot. Note: The total cost = the cost of installing along length L + the cost of installing along the length D. eng M₁ IL If M₁ | X D L 麦麦麦麦麦麦麦麦 M₂ = 400 feet and M₂ = 900 feet, determine the value of a that gives the minimum cost.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 503E: The length a spring stretches varies directly with a weight placed at the end of the spring. When...
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The minimum cost occurs when
and the minimum cost is C = $
=
feet
Transcribed Image Text:The minimum cost occurs when and the minimum cost is C = $ = feet
A cable will be installed from a farmhouse to a series of telephone poles. Part of the cable will be installed
underground, D, with a cost of $260 per foot and part will be installed atop the telephone poles, L, with
a cost of $30 per foot.
Note: The total cost = the cost of installing along length L + the cost of installing along the length D.
M₁
If M₁
-
X
D
L
‡ ‡ ‡ ‡ ‡ ‡ ‡ ‡
M₂
400 feet and M₂ = 900 feet, determine the value of x that gives the minimum cost.
Transcribed Image Text:A cable will be installed from a farmhouse to a series of telephone poles. Part of the cable will be installed underground, D, with a cost of $260 per foot and part will be installed atop the telephone poles, L, with a cost of $30 per foot. Note: The total cost = the cost of installing along length L + the cost of installing along the length D. M₁ If M₁ - X D L ‡ ‡ ‡ ‡ ‡ ‡ ‡ ‡ M₂ 400 feet and M₂ = 900 feet, determine the value of x that gives the minimum cost.
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