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Ask iit jee aieee pet cbse icse state board experts Expert Question: find max. value
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[Post New]16 Mar 2007 22:34:54 IST
    Subject: find max. value
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vidur (14)

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a+3/b+c   +  b+3/a+c   +  c+3/a+b
 
find minimum value of this function for a,b,c>0
    
[Post New]16 Mar 2007 22:37:50 IST
    Subject: find max. value
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vish0001 (493)

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hye !
use the AM>= GM formula
do tell if that works or not !


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[Post New]17 Mar 2007 15:01:08 IST
    Subject: Re:find max. value
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iitkgp_bipin (6144)

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I think u have posted it wrongly.

It should be a+ 3/b +c   +  b +3/c +a   +  c+ 3/a +b

Expression,E = 2a + 2b + 2c + 3/a + 3/b + 3/c

Use AM>=GM

E/6 >= (2x2x2x3x3x3)1/6

E >= 36

Hence minimum value is 36.
Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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