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20. You are planning to start a home business. You decide to build a workroom in the shape of a rectangular prismin the backyard. It will give you solitude to work and a place for cus- tomers to see your products without disturbing your family in the house. You price the mate- rials needed and decide that the perimeter of the floor can be 64 ft in total. Maximizing the floor area inside the workshop is your only objective. What dimensions would you choose for the floor, rounded to the nearest whole numbers? You may know the answer already but provide a fully documented algebraic solution.

20. You are planning to start a home business. You decide to build a workroom in the shape of a rectangular prismin the backyard. It will give you solitude to work and a place for cus- tomers to see your products without disturbing your family in the house. You price the mate- rials needed and decide that the perimeter of the floor can be 64 ft in total. Maximizing the floor area inside the workshop is your only objective. What dimensions would you choose for the floor, rounded to the nearest whole numbers? You may know the answer already but provide a fully documented algebraic solution.

Advanced Engineering Mathematics
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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20. You are planning to start a home business. You decide to build a workroom in the shape of a rectangular prismin the backyard. It will give you solitude to work and a place for cus- tomers to see your products without disturbing your family in the house. You price the mate- rials needed and decide that the perimeter of the floor can be 64 ft in total. Maximizing the floor area inside the workshop is your only objective. What dimensions would you choose for the floor, rounded to the nearest whole numbers? You may know the answer already but provide a fully documented algebraic solution.
Transcribed Image Text:20. You are planning to start a home business. You decide to build a workroom in the shape of a rectangular prismin the backyard. It will give you solitude to work and a place for cus- tomers to see your products without disturbing your family in the house. You price the mate- rials needed and decide that the perimeter of the floor can be 64 ft in total. Maximizing the floor area inside the workshop is your only objective. What dimensions would you choose for the floor, rounded to the nearest whole numbers? You may know the answer already but provide a fully documented algebraic solution.
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