5. A fence must be built to enclose a rectangular area of 2,000 ft². Fencing material costs $2.50 per foot for the two sides facing north and south, and $2.00 per foot for the other two sides. Find the cost function and use derivative to find the dimension of the least expensive fence. What is the minimum cost?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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5. A fence must be built to enclose a rectangular area of 2, 000 ft2. Fencing material costs $2.50 per
foot for the two sides facing north and south, and $2.00 per foot for the other two sides. Find the
cost function and use derivative to find the dimension of the least expensive fence. What is the
minimum cost?
Transcribed Image Text:5. A fence must be built to enclose a rectangular area of 2, 000 ft2. Fencing material costs $2.50 per foot for the two sides facing north and south, and $2.00 per foot for the other two sides. Find the cost function and use derivative to find the dimension of the least expensive fence. What is the minimum cost?
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