Constraint Minimization - Pen and Paper calculation

Objective: Objective: Minimize the following function 5-(x-2)^2 -2(y-1)^2 subject to the following constraint x + 4y = 3 Solution: Let f(x,y)=5−(x−2)^2−2(y−1)^2 g(x,y)=x+4y−3=0 (1) We solve, ∇f=λ∇g∇f=λ∇g To simplify, we introduce ‘Lagrangian function’,…