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Lemon is REALLY good at playing fetch with his little purple ball, so he wants to fence in a rectangular area to start a fetching league

Math Oct 17, 2022

Lemon is REALLY good at playing fetch with his little purple ball, so he wants to fence in a rectangular area to start a fetching league. The fencing must enclose an area of 500??. Three sides of the fencing are made of material that costs $10 per foot, and one side of the fencing is made of material that costs $15 per foot. Find the cheapest such enclosure that can be made.

Expert Solution

Step-by-step explanation

2 2 10$ / ft . 50 0 ft 6 2 b = 50oft 2 $ 10 /ft $ 10 / 4t . b = 500 2 2 $15 / ft . Cost of enclosure ; C = Q (15) + 10 (2+ 26) = 25 2 +206 > c ( 2 ) = 25 2 + 20 / 500 ) =251+ 10000 For cheapest Enclosure , "' (e ) = 0 c' ( 2 ) = 25 - 10000 = 0 = +20 (. . length can't be 25 negative ) 2 = 20 foot b = 500 = 25 foot 20 Note : Enclosure dimensions are for that drawn in figure and not interchangeable .

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