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 ​$16 per foot​ (regardless of how deep the pool​ is), and the infinity pool wall costs ​$40 per foot​ (regardless of​ depth). How long should you make the infinity wall so that you minimize your​ costs?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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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 ​$16 per foot​ (regardless of how deep the pool​ is), and the infinity pool wall costs ​$40 per foot​ (regardless of​ depth). How long should you make the infinity wall so that you minimize your​ costs?

 

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