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This question requires a full written solution. The following is a calculation one might perform in solving an optimization problem using the Method of Lagrange

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This question requires a full written solution. The following is a calculation one might perform in solving an optimization problem using the Method of Lagrange Multipliers. Given the set of 3 equations below in :r, y, z, A, reduce it to a set of 2 equations in x, y,z. You may assume that :3, y, z y 0. Your equations must be simplied as much as possible: I There should be no fractions or rational expressions, i.e.., nothing should contain a denominator. 0 There should be no further cancellations possible. Asyz=0 (1) 3Aymz=0 (2) 7A2my=0 (3)

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