Constraint Minimization - Pen and Paper calculation

Objective: Aim: To Minimize the following function 5-(x-2)^2 -2(y-1)^2 subject to the following constraint x + 4y = 3 u(x,y)=5-(x-2)^2-2(y-1)^2 const=x+4y-3 f(x,y)=u(x,y)+ʎ(const) f(x,y)=5-(x-2)^2-2(y-1)^2+ʎ(x+4y-3)…