I have this question, I have run completely blind into.
Find by Lagrange multipliers the volume V=xyz of where the largest box with sides adding up to x+y+z = k.
I have found the gradient of V:
dV/dx = yz dV/dy = xz dv/dz = yx and the gradient of g for all x,y,z are 1. Then I have the constraint saying: x+y+z=k Now I use Lagranges multiplier: GradientV = lambda*gradientG. for x: yz = lambda for y: xz = lambda for z: yx = lambda
Now im lost of where to go, can anybody help me?