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a. A rectangular pen is built with one side against a barn. If 300 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a Barn barn, each with an area of 100 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? 100 100 100 100

a. A rectangular pen is built with one side against a barn. If 300 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a Barn barn, each with an area of 100 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? 100 100 100 100

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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a. A rectangular pen is built with one side against a barn. If 300 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a Barn barn, each with an area of 100 m (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? 100 100 100 100 a. Let A be the area of the rectangular pen and let x be the length of the sides perpendicular to the barn. Write the objective function in a form that does not include the length of the side parallel to the barn. A D (Type an expression.)
Transcribed Image Text:a. A rectangular pen is built with one side against a barn. If 300 m of fencing are used for the other three sides of the pen, what dimensions maximize the area of the pen? b. A rancher plans to make four identical and adjacent rectangular pens against a Barn barn, each with an area of 100 m (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? 100 100 100 100 a. Let A be the area of the rectangular pen and let x be the length of the sides perpendicular to the barn. Write the objective function in a form that does not include the length of the side parallel to the barn. A D (Type an expression.)
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