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.

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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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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