perplexus.info :: Calculus : Funny Stuff !

Funny Stuff ! (Posted on 2002-06-20)

Given:

   a,b,c >0 and a+b+c=1 ;
   P=(1/a)+(2/b)+(3/c);

1)Find the minimum value of P;
2)Does P have maximum value ?

See The Solution Submitted by vohonam

Rating: 3.4286 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(3): Puzzle Answer

| Comment 16 of 19 |

(In reply to re(2): Puzzle Answer by K Sengupta)

The answer, min P = 17.1915..., a function of sqrt(2) and sqrt(3), was produced by three different methods: using Cauchy's Inequality (vohonan, the poser), using Lagrange Multipliers (friedlinguini) and using Partial Derivatives (Bon).

Edited on September 5, 2022, 1:15 pm

Posted by Steven Lord on 2022-09-05 11:46:29

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