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Calculus/min/max optimization word problem


knoxy wrote at 2010-02-21 15:25:30
that solution is wrong. it should be to minimise the cost function and not the surface area of the pool. the cost function is 2*pi*(r^2) plus 2*pi*r*h which is then multiplied by price per square unit of the wood (which is a constant so does not effect the solution)

Skore wrote at 2014-12-17 02:32:28
Since the ceramic costs twice as much as the wood, that must be factored into the cost equation, which will look like this (x=radius):


The rest of the steps in the solution are correct, so the answer will be X, or the radius, equals (5/2pi)^1/3


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Rajashekhar Shastry


I can answer the questions in calculus, Probability, Permutations and combinations, Algebra, and in Computers Perticularly c and c Programming


c programming, c programming, and in mathematics Algebra, Calculus, Probability

MCA, MSc(Maths)

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