Question

Let x, y, z be three non-negative integers such that x + y + z = 10. the maximum possible value of xyz + xy + yz + zx is

Answer 1

Given:Let x,y,z be three non negative integers such that x+y+z=10
So x=3.33,y=3.33,z=3.33
To find:Maximum possible value of xyz+xy+yz+zx
Solutions:3.33×3.33×3.33+3.33×3.33+3.33×3.33+3.33×3.33=36.92604+11.0889+11.0889+11.0889
=70.19274
Thus maximum value of xyz+xy+yz+zx is70.19274