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Minimum Value (Posted on 2002-06-19) Difficulty: 5 of 5
Given:
    x,y,z > 0
    xy+yz+zx <= 3/4
and
    P=x+y+z+(1/x)+(1/y)+(1/z)
Find the Minimum Value of P. Find x, y, and z when P = Minimum Value.

  Submitted by vohonam    
Rating: 3.2500 (8 votes)
Solution: (Hide)
As it turns out this was correctly solved quite a while ago!

See friedlinguini's first comment on this problem (later a different solution is presented by vohonam)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Puzzle AnswerK Sengupta2022-08-15 07:16:52
helpBilly Bob2004-03-28 10:26:31
SolutionExcel AgreesCharlie2003-04-01 05:06:02
Some ThoughtsAlternative solution (less Maths)Nigel Nisbet2003-02-14 08:41:58
oopslyeshea2002-07-02 12:46:36
Solutionpossible minimum valuelyeshea2002-07-02 12:43:56
re(2): Full solution, I sent to Levik !levik2002-06-21 06:03:57
re: Full solution, I sent to Levik !TomM2002-06-20 20:38:06
Hints/TipsFull solution, I sent to Levik !vohonam2002-06-20 16:46:11
Some ThoughtsHEy !vohonam2002-06-20 16:27:24
Hey !vohonam2002-06-20 16:26:34
SolutionNo Subjectvohonam2002-06-20 16:25:23
Some ThoughtsHey !vohonam2002-06-20 16:08:10
SolutionThis is the better way !vohonam2002-06-20 16:03:57
re(2): Wrong !Nick Reed2002-06-20 08:29:03
re: Wrong !friedlinguini2002-06-20 08:25:25
Hints/TipsWrong !vohonam2002-06-20 08:05:49
SolutionEvil!friedlinguini2002-06-20 03:58:51
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