f(x,y,z) = xyz
So I let g(x,y,z) = x+y+z-5
h(x,y,z) = xy+yz+zx-7
Then let Delta_f=lamda*Delta_g + mu*Delta_h .... and g(..) = 0 & h(..) = 0
So the equations I got were:
yz = lamda + mu(y+z)
xz = lamda + mu(x+z)
xy = lamda + mu(x+y)
With a bit of algebra, I got 3*lamda + 10*mu = 7
but I'm a bit lost with the rest of the algebra to get critical points for x,y,z ?
Anyone want to give it a shot? :]
Instead of adding the three equations and using the constraits as you have, try subtracting the equations in pairs and factoring and see where that gets you.
Originally Posted by seekay