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 Barn a 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= 300x - 2x (Type an expression.) The interval of interest of the objective function is. (Simplify your answer. Type your answer in interval notation. Do not use commas in the individual endpoints.)
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 Barn a 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= 300x - 2x (Type an expression.) The interval of interest of the objective function is. (Simplify your answer. Type your answer in interval notation. Do not use commas in the individual endpoints.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Barn
a 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 = 300x- 2x
(Type an expression.)
The interval of interest of the objective function is
(Simplify your answer. Type your answer in interval notation. Do not use commas in the individual endpoints.)
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