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a. A rectangular pen is built with one side against a barn. If 600 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, each with an area of 225 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? To maximize the area of the pen, the sides perpendicular to the barn should be 150 m long and the side parallel to the barn should be 300 m long. (Type exact answers, using radicals as needed.) b. Let x be the length of the sides perpendicular to the barn and let L be the total length of fence needed. Write the objective function. L= 5- 600 4 Barn 225 225 225 225

a. A rectangular pen is built with one side against a barn. If 600 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, each with an area of 225 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? To maximize the area of the pen, the sides perpendicular to the barn should be 150 m long and the side parallel to the barn should be 300 m long. (Type exact answers, using radicals as needed.) b. Let x be the length of the sides perpendicular to the barn and let L be the total length of fence needed. Write the objective function. L= 5- 600 4 Barn 225 225 225 225

Calculus: Early Transcendentals
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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Hyd tab a. A rectangular pen is built with one side against a barn. If 600 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, each with an area of 225 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? To maximize the area of the pen, the sides perpendicular to the barn should be 150 m long and the side parallel to the barn should be 300 m long. (Type exact answers, using radicals as needed.) b. Let x be the length of the sides perpendicular to the barn and let L be the total length of fence needed. Write the objective function. L= 5- 600 (Type an expression.) Help me solve this "? 7 JL → Type here to search Q 12 @ 2 View an example W 113 * # 3 E $ 101 4 Get more help. R "O O % 5 T 6 Media - & Y 7 8 ( 9 (?) 4 DE UL 87°F Clear all 0 225 Barn 225 225 225 Final check Js. insert 3:37 PM 6/25/2022 21 backspace
Transcribed Image Text:Hyd tab a. A rectangular pen is built with one side against a barn. If 600 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, each with an area of 225 m² (see figure). What are the dimensions of each pen that minimize the amount of fence that must be used? To maximize the area of the pen, the sides perpendicular to the barn should be 150 m long and the side parallel to the barn should be 300 m long. (Type exact answers, using radicals as needed.) b. Let x be the length of the sides perpendicular to the barn and let L be the total length of fence needed. Write the objective function. L= 5- 600 (Type an expression.) Help me solve this "? 7 JL → Type here to search Q 12 @ 2 View an example W 113 * # 3 E $ 101 4 Get more help. R "O O % 5 T 6 Media - & Y 7 8 ( 9 (?) 4 DE UL 87°F Clear all 0 225 Barn 225 225 225 Final check Js. insert 3:37 PM 6/25/2022 21 backspace
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