Constraint Minimization using python

Let us consider the given function as

`f ( x , y ) = 5 − ( x − 2 )^ 2 − 2 ⋅ ( y − 1 ) ^2`

and the constraint as

`g ( x , y ) = x + 4 y − 3`

We can use Lagrange multipliers to find the maximum or minimum value of the function.

So, we can take `f(x,y)` as `f(x,y,lamda)`, then we have to differentiate the function w.r.t x,y and `lamda` and equate the to zero gives the x, y and `lamda`values which then by substituting in the function gives maximum or minimum value.

Therefore minimization of the function is not possible.