Sq Ft 25
January 20th, 2007
Sq Ft 25
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Finding minimum cost for 3000 sq foot garden?
3000 sq ft rectangle. 3 sides enclosed with $25/foot shrubs and 1 side enclosed with $10/foot fence. Find the minimal total cost. I have no idea where to even begin. Optimization problems are the bane of my existence.
X and Y
XY = 3000
cost = 2 * 25 * X + 25 Y + 10 Y = 50X + 35Y
X = 3000/Y
cost = 50 * 3000/Y + 35Y
dc/dY = 35 - 150000/Y^2 = 0
Y = sqrt (150000/35) = 65.5
X = 45.8
cost = 4583.79
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