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Using the method of Lagrange multipliers, we find the critical point of f(r, y, z) = 9r + 2y + 18z subject to the

  

Using the method of Lagrange multipliers, we find the critical point of f(r, y, z) = 9r + 2y + 18z subject to the constraint: 81 = chr where > 0, y > 0, : > 0. The critical point is: (a, b. c) Find a + b. Answer The following system of equations has unique solution: I +2r2 +I3 = +9r2-3 3r- 2+3r3 = 4. -3 What is r? Answer:

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