Question

In a simple one-constraint Lagrange multiplier setup, the constraint has to be always one dimension lesser than the objective function.

(a) True

(b) False

The question was posed to me in final exam.

I'd like to ask this question from Lagrange Method of Multiplier to Find Maxima or Minima topic in section Maxima and Minima of Engineering Mathematics

Answer 1

The correct option is (b) False

To explain I would say: This condition is not always necessary because the lesser dimension curve can still be treated as a higher dimension curve.