# Mathematical Programming

#### grandy

##### Member
Queston From Mathematical Programming:?

Find the minimum value of P(x,y,z)=Z+1/2(x^2+ y^2+1/10 z^2)
constrained by and where r is a positive constant.
Solve the problem when r=1, r=5.
Can you find the solution for general r?
(Note this is a mixed Kuhn-Tucker/ Lagrange problem. The inequality constraints are not trivial and must be taken into account.)