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I would really appreciate some help with this problem:

 

The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are to be entered into the 10 boxes, so that each number is used exactly once:

\(P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\)
What is the maximum value of P? What is the minimum value of P?

 

I was trying to solve this problem by using quadratics, and I was able to find the maximum but I am not sure how to find the minimum.

 May 7, 2020
edited by mathmathj28  May 11, 2020
edited by mathmathj28  May 12, 2020
 #1
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The maximum value is 532.25.  There is no minimum value.

 May 9, 2020
 #2
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Could you please explain how you solved it? I got a different answer. Thanks

mathmathj28  May 11, 2020
edited by mathmathj28  May 12, 2020

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