For example, if I want to maximize $f(x) = x^2+xy $ subject to constraints such like $x+y=5$
Can I scale the target function or the constraints as I want? Like $ L = \frac{1}{2}(x^2+xy) - \lambda\times\frac{65535}{8787}(x+y-5)$
Would that change the explainability of Lagrange Multipliers or the result of the optimization problem?