A firm's total cost function is: C = 5x2 + 2xy + 3y2 + 800, subject to the production quota x + y = 39. Construct the Lagrange function and solve for the equilibrium values. Calculate the total cost. a)What is the equilibrium value of λ? b)What is the optimized value of cost? c)What is the value of the determinant of the Hessian matrix?

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