Constraint Minimization

Objective: Problem Statement Minimize the following function $5-(x-2)^2 -2(y-1)^2$ subject to the following constraint $x + 4y = 3$ Solution Lagrangian of the problem, $L(x,y, \\lambda) = 5 - (x-2)^2 - 2(y-1)^2 + \\lambda (3 - x-4y)$ $\\frac{\\partial L}{\\partial x} = -2(x-2) - \\lambda$ $\\frac{\\partial L}{\\partial y} = -2(y-1)…