Question 1111832
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<pre>
Use inequality of arithmetic and geometric means for three variables.


<U>It says</U>  (see this Wikipedia article  https://en.wikipedia.org/wiki/Inequality_of_arithmetic_and_geometric_means) :



    For any 3 non-negative numbers  a, b  and  c


        {{{(a + b + c)/3}}} >= {{{root(3, a*b*c)}}},

        and inequality becomes the equality if and only if  a = b = c.



In your case, it means that if  a + b + c = 15,  then  a*b*c has the maximum value of 5*5*5 = 125  when  a = b = c = 5.
</pre>


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<U>Notice</U> : &nbsp;&nbsp;I don't know what these words of the condition &nbsp;" Three interferes . . . " &nbsp;mean.


I suspect that they should be  &nbsp;"Three integers . . . " &nbsp;instead.