SOLUTION: find three positive numbers whose sum is 32 and p =xy^2z is a maximum

Question 318930: find three positive numbers whose sum is 32 and p =xy^2z is a maximum
Found 2 solutions by Fombitz, Stephen__:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I'm assuming these numbers need to be integers.

Since y is squared, you want y to be as large as possible.
The smallest, non-zero value for x and z to have so that y can be maximized is 1.

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Answer by Stephen__(1) (Show Source): You can put this solution on YOUR website!
I've no idea where to post this but Fombitz's answer is wrong. P is at a maximum at x = 8, y = 16 and z = 8.
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