so over here I applied AM-GM concept and I marked the maximum value within this limit. The solution was actually quite simple keep the numbers as close as possible but I just wanted to ask why didnt AM-GM work?
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Hey,
With the property AM>=GM comes a constraint that equality only holds true when a=b=c, which in this case can't be true as a, b and c are all positive integers.
Yeah but even if they aren't equal it should be less than 1103.37
And the first 3 options match that criteria. Now, we have the constraint of the three variables being 'integers' too. Hence, it can never be 1103.37; had they not been 'integers', your point would stand.