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Let x, y and z be three positive real numbers whose sum is 1. If no one of these numbers is more than twice any other, then find the minimum value of the product xyz.

 

thanks!!

 Feb 24, 2021
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Let x, y and z be three positive real numbers whose sum is 1. If no one of these numbers is more than twice any other, then find the minimum value of the product xyz.

 

Hello Guest!

 

\(x+y+z=1\\ x+1,99x+1.98x-1=0\)

The larger the different multiplicants < 2 of x, the smaller the product xyz.

 

\(x=0.2012\\ y=0.4004\\ z=0.3984\\ xyz=0.032095 \)

laugh  !

 Feb 24, 2021
edited by asinus  Feb 24, 2021
edited by asinus  Feb 24, 2021
edited by asinus  Feb 24, 2021

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