Question: 2. (20 points) Find the minimum value of the function F(x, y, z) = x + 2y + z subject to the constraints g(x, y,

2. (20 points) Find the minimum value of the function F(x, y, z) = x + 2y + z subject to the constraints g(x, y, z) = x + 2y + 3z -1 = 0 and h(x, y, z) = x - 2y + z-5 = 0 by using Lagrange Multiplier Method

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