Question

If x,y,and z are positive real numbers and `x=(12-yz)/(y+z)`. The maximum value of (xyz) equals___________.

Answer 1

Correct Answer - 8
Consider values xy, yz, zx
Now A.M `ge` G.M
`implies (xy + yz + zx)/(3) ge (x^(2) y^(2) z^(2))^(1//3)`
`implies 4^(3//2) ge xyz`
or `xyz le 8`