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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

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CR: Chapter Review
Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...
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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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