You want to build a 1000 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 $40 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs? It should be feet (Round answer to nearest tenth.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You want to build a 1000 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 $40 per foot (regardless
of depth). How long should you make the infinity wall so that you minimize
your costs?
It should be feet
(Round answer to nearest tenth.)
Transcribed Image Text:You want to build a 1000 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 $40 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs? It should be feet (Round answer to nearest tenth.)
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