Constraint Minimization Using Lagrange multiplier

Objective: Function `5 - (x-2)^2-2(y-1)^2` Constraint: `x+4y = 3` `5 - (x-2)^2-2(y-1)^2` `5-(x^2-4x+4)-2(y^2-2y+1)` `f(x) = 5-x^2+4x-2y^2+4y-6` `g(x) = x+4y-3` `f =f(x) + lambdag(x)` `f = 5-x^2+4x-2y^2+4y-6 + lambda(x+4y-3)` `(delf)/(delx) => -2x + 4 +lambda = 0 to A` `(delf)/(dely) => -4y+4+4lambda…