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Objective: Minimization of a objective function using Lagrange multipliersObjective function 5 – (x-2)^2 – 2(y-1)^2 (we have to minimize the function) Subject to : Constraint x + 4y = 3Solution:f(x,y) = 5 – (x-2)^2 – 2(y-1)^2g(x,y) = x + 4y = 3 = cUsing Lagrange multipliers,F(x,y,k) = f(x,y) – k[(g(x,y)…