Maximize the volume without using Lagrange multipliers
lanedance, no that's not what I did. I did differentiate (partially) hence the subscripts. ;)
SammyS, it makes sense that I got the minimum :) (thanks for mentioning it though because I initially thought I was doing something redundant rather than getting a minimum). What you said sounds like what I did though. Could you please be a bit more descriptive algorithmically?