We have :
Find the maximum value of A
Find x, y and z when A=max value.
(Remember the category)
(In reply to re: Most of a solution
by Cory Taylor)
Its nice to see i am not alone in tackling this problem.
With how bad the equations get, I was looking to find any solution first.
x=2/sqrt(31) y=4/sqrt(31) z=7/sqrt(31) A=8 is the only solution I have so far, but I restricted the values to positive integers to help get a handle on this thing.