Finding minimum

ughhhhignoreme

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Apr 13, 2024
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let a,b,c be all positive reals.
let a+b+c=1a+b+c = 1 Find the minimum of abc.


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i've tried am-gm
but i got to
a+b+c3abc3\frac{a+b+c}{3} \ge \sqrt[3]{abc}

1/27abc1/27 \ge abc
but got stuck here.
 
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