Constraint Minimization Problem

Objective: I am going to minimize a non-linear function by using Lagrange Multipliers. Problem statement:Minimize the function `5-(x-2)^2 -2(y-1)^2` subject to `x + 4y - 3 = 0`. Solution: `L = f - lambdag`, where ` f = 5-(x-2)^2 -2(y-1)^2` and `g = x + 4y - 3` Thus, I solve `L = 5-(x-2)^2…