4. A farmer wants to build a fence in the configuration shown, with a total area of 3000 square feet. The internal fencing costs $4 per foot, and then fencing around the outside costs $10 per foot. What are the dimensions of the field that will minimize the cost of fencing? What is the lowest possible cost to build such a fence? Use the Second Derivative Test to confirm that your answer yields the minimum cost. y ft xft Lowest cost

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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4. A farmer wants to build a fence in the configuration shown, with a total area of 3000 square
feet. The internal fencing costs $4 per foot, and then fencing around the outside costs $10
per foot. What are the dimensions of the field that will minimize the cost of fencing? What
is the lowest possible cost to build such a fence? Use the Second Derivative Test to confirm
that your answer yields the minimum cost.
y ft
xft
Lowest cost
Transcribed Image Text:4. A farmer wants to build a fence in the configuration shown, with a total area of 3000 square feet. The internal fencing costs $4 per foot, and then fencing around the outside costs $10 per foot. What are the dimensions of the field that will minimize the cost of fencing? What is the lowest possible cost to build such a fence? Use the Second Derivative Test to confirm that your answer yields the minimum cost. y ft xft Lowest cost
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