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Please give detailed steps so I know how the answer was derived.

5. Using the maximization techniques discussed in this course, a) Find three positive numbers (x, y, z) whose sum is 1000 and

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x+y + z = 1ooo Maximize X... Z L = xyz + 2 (1000 - x-y-7) FOC ob = Y- 0-0, XZ -2-0, & aliy xy - 2-0 thus from FOC. Y Z = X Z

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