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February 17th, 2014, 08:39 PM  #1 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  find max(a+b+c) given : if: find: 
February 25th, 2014, 03:38 AM  #2 
Senior Member Joined: Jan 2007 From: India Posts: 161 Thanks: 0  Re: find max(a+b+c)
Just curious to know on the answer of this question..can someone help please. Cheers, Arun 
February 26th, 2014, 02:31 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 21,026 Thanks: 2257 
It's an easy question. You're looking for (a, b, c) = (10, 1/2, 1).

February 26th, 2014, 06:48 PM  #4  
Senior Member Joined: Jan 2007 From: India Posts: 161 Thanks: 0  Quote:
 
February 26th, 2014, 07:28 PM  #5 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond  Re: find max(a+b+c)
I guess I'm missing something but it seems max(a + b + c) can be made arbitrarily large by choosing a arbitrarily large. a = 11, b = (55  ?1705))/44, c = 20/(55 + ?1705) works and the sum a + b + c is just over 8.6. I'm not sure what "if: k = min(a)" is about. 
February 27th, 2014, 01:06 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 21,026 Thanks: 2257 
Obviously, "if: k = min(a)" isn't what was really meant. I assumed it was intended that a has its minimum value (which is 10), in which case, a + b + c has a maximum value (as only two values are possible).

March 1st, 2014, 04:53 AM  #7  
Senior Member Joined: Jan 2007 From: India Posts: 161 Thanks: 0  Re: find max(a+b+c) Quote:
 
March 1st, 2014, 09:21 AM  #8 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1039  Re: find max(a+b+c)
Arun, why don't you send Abert Teng a PM...

March 1st, 2014, 08:16 PM  #9 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond  Re: find max(a+b+c)
I chose a = 11. It's then possible to find values for b and c that fulfill the two given equations.

March 3rd, 2014, 11:59 PM  #10 
Senior Member Joined: Apr 2012 Posts: 799 Thanks: 1  Re: find max(a+b+c)
we know : if : then : or: put to(1) we get : so : or : 

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