p,q and r are three non-negative integers such that
p + q + r = 10. The maximum value of pq + qr + pr
+ pqr is
3 years, 10 months ago
First of all I would like to tell you that it is 'Algebra', Not 'Algbra' .
For your question, I can give you a hint. You figure it out.
we have to find maximum value of pq+qr+rp+pqr
Divide and multiply this by pqr. So it becomes
\(pqr(1/p+1/q+1/r+1)\).Now by applying AM-GM inequality, find the maximum of pqr, Then use AM-HM inequality and fin maximum value of \(1/p+1/q+1/r\) and that will lead you to the answer.
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