constrained optimisation

[bhavookb21]

maximize f(x1,x2) = 2x1 + 3x2    s.t. g(x1,x2)= (x1)^2 + (x2)^2

1. demonstrate that the conclusion of lagrange theorem does not hold here.
2. what is the solution to the maximization problem?
3. Is the constraint qualification satisfied?