SOLUTION: Maximize x+y+z subject to x+y is <or= 8 x+z is <or= 10 y+z is <or= 12 Also know that x,y,z is >or= 0

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Maximize x+y+z subject to x+y is <or= 8 x+z is <or= 10 y+z is <or= 12 Also know that x,y,z is >or= 0      Log On


   

Question 1033065: Maximize x+y+z subject to
x+y is x+z is y+z is Also know that x,y,z is >or= 0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Maximize x+y+z subject to
x+y is x+z is y+z is Also know that x,y,z is >or= 0
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x + y + z = (x+y)+z = (x+z)+z = x+2z
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x+y+z = (x+y)+z = y+z + z = y+2z
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So, x+2z = y+2z
Therefore x = y
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Cheers,
Stan H.
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