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zmudz
 one year ago
If \(A, B, C,\) and \(D\) are positive numbers such that \(A + 2B + 3C + 4D = 8\), then what is the maximum value of \(ABCD\)?
Any help is appreciated, these are precalc problems. Thanks!
zmudz
 one year ago
If \(A, B, C,\) and \(D\) are positive numbers such that \(A + 2B + 3C + 4D = 8\), then what is the maximum value of \(ABCD\)? Any help is appreciated, these are precalc problems. Thanks!

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2you may use AMGM inequality : \[(A*2B*3C*4D)^{1/4} \le \dfrac{A+2B+3C+4D}{4}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0where is that formula from ?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2https://en.wikipedia.org/wiki/Inequality_of_arithmetic_and_geometric_means#The_inequality
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