Constraint Minimization Problem

Objective: In this i am going to minimize a simple non-linear function by using Lagrange Multipliers. The function is ƒ(x,y)=5-(x-2)^2-2(y-1)^2 Simplifying the above function we get, ƒ(x,y)=-x^2-2y^2+4x+4y-1 and the constraint for the same is x+4y=3 Let us use Lagrange multiplier λ in the following equation…