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Tue, 12/01/2009 - 02:46
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hi
Can u give the solution please
vinay
for a given product, the sum of the variables is minimum when theyre equal
since product has a^2 , b^3 and c^1, break the exp. (a+b+c) such that upon multiplying the constituents, the powers of a, b and c are reflected.
That is, we have to find
a/2 +a/2 +b/3+ b/3 + b/3 +c (which is = a+b+c)
now the product of above variables= a^2*b^3*c/ (2^2 * 3^3)
since we already know the value of numerator = 256/27, substitute it in the given equation and simplify... u'l have 2^6/ 3^6
let each of a/2 b/3 and c =k
then 2^6/3^6=k (since there are six terms being multiplied in the expression, each of which =k)
k=2/3
what we have to find is 6k (sum minimum, when all terms equal, in this case =k)
so we have 6k= 2/3*6= 4
peace out!