You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side wilIl have the infinity pool wall. Regular pool walls cost $12 per foot (regardless of how deep the pool is), and the infinity pool wall costs $25 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs? The infinity wall should be feet long in order to minimize the costs If necessary, round to two decimal places.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool wall. Regular
pool walls cost $12 per foot (regardless of how deep the pool is), and the infinity pool wall costs $25 per foot (regardless of depth). How long should you make the
infinity wall so that you minimize your costs?
The infinity wall should be
feet long in order to minimize the costs
If necessary, round to two decimal places.
Transcribed Image Text:You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool wall. Regular pool walls cost $12 per foot (regardless of how deep the pool is), and the infinity pool wall costs $25 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs? The infinity wall should be feet long in order to minimize the costs If necessary, round to two decimal places.
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