- #1
squenshl
- 479
- 4
Optimize f(x,y,z) = 2x + 2y + 2z subject to constraints g(x,y,z) = x2 - y2 - z2 - 1 = 0 & h(x,y,z) = x2 + y2 + z2 - 17 = 0.
I found Lx = 2 + 2[tex]\lambda[/tex]x - 2[tex]\mu[/tex]x = 0, Ly = 2 + 2[tex]\lambda[/tex]y - 2[tex]\mu[/tex]y = 0 & Lz = 2 + 2[tex]\lambda[/tex]z - 2[tex]\mu[/tex]z = 0
I'm just asking how to use Lx, Ly & Lz to eliminate [tex]\lambda[/tex] & [tex]\mu[/tex] to get the critical points.
I found Lx = 2 + 2[tex]\lambda[/tex]x - 2[tex]\mu[/tex]x = 0, Ly = 2 + 2[tex]\lambda[/tex]y - 2[tex]\mu[/tex]y = 0 & Lz = 2 + 2[tex]\lambda[/tex]z - 2[tex]\mu[/tex]z = 0
I'm just asking how to use Lx, Ly & Lz to eliminate [tex]\lambda[/tex] & [tex]\mu[/tex] to get the critical points.