|
Question 993888: Hi,
I don't know if this is the right category, but while gkimming through a question paper i found one question:
a+b+c=10, find the maximum value possible for (a*b*c)+(a*b)+(b*c)+(a*c).
Please help me solve this, as this is not just one of it's type in the question paper, there are 5 or 6 such ones.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! a+b+c=10, find the maximum value possible for (a*b*c)+(a*b)+(b*c)+(a*c).
==================
Using Excel, I confirmed my suspicion that the max is at a = b = c
Max = 69967/999
= 31*61/27
=====================
27 is obviously 3*3*3, but I don't know the significance of 31 or 61.
I don't yet have a proof, either.
|
|
|
| |
