Problem 8

$\frac{a}{b^3+c^3+1}+\frac{b}{c^3+a^3+1}+\frac{c}{a^3+b^3+1}$

Given that $a,b,c$ are non-negative and $a+b+c=1$ . Find the sum of the minimum and maximum value.

Give your answer to two decimal place.

This problem is in this Set .