Constraint Minimization

Objective: Problem statement: Minimize the function 5-(x-2)2-2(y-1)2 subject to x+4y−3=0 Solution: L=f−λg, where f= 5-(x-2)2-2(y-1)2 and g=x+4y-3 Thus, I solve L= 5-(x-2)2-2(y-1)2-λ(x+4y-3) Lx=-2(x-2)-λ=0 →→ EqnI…