Replies to post #130 on The Weekend Lounge

[Soapy Bubbles]

Oh fun... Geeze. So glad I didn't specialize in that junk. Amazing.

I never used that once in physics...

[Soapy Bubbles]

You sure you wrote that right?

[Soapy Bubbles]

 
  
 Maximize R = x + y+ 2z subject to 
 x - 2y + z <= 9 
 2x + y + 2z <= 28 
  
 (you sure it's not <=?)  
  
 If it is: 
  
 Tableau #1 
 x      y      z      s1     s2     r              
 1      -2     1      1      0      0      9       
 2      1      2      0      1      0      28      
 -1     -1     -2     0      0      1      0       
  
 Tableau #2 
 x      y      z      s1     s2     r              
 1      -2     1      1      0      0      9       
 0      5      0      -2     1      0      10      
 1      -5     0      2      0      1      18      
  
 Tableau #3 
 x      y      z      s1     s2     r              
 1      0      1      1/5    2/5    0      13      
 0      1      0      -2/5   1/5    0      2       
 1      0      0      0      1      1      28   
  
  
 Overall Soln: 
 r = 28; x = 0, y = 2, z = 13 
 

[Soapy Bubbles]

http://www.google.com/url?sa=t&ct=res&cd=10&url=http%3A%2F%2Fwww.math.cuhk.edu.hk%2F~wei%2Flpch3.pdf&ei=MMkOSL_fJKmopwTHlKzaBw&usg=AFQjCNH9_MCcqd4GU5sbZmo3pmxE7ic-RA&sig2=ZIpn5OtIiEWfbdfyLbruVQ