haleyelizabeth2017
  • haleyelizabeth2017
Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities.
Mathematics
chestercat
  • chestercat
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haleyelizabeth2017
  • haleyelizabeth2017
\(3x-2y\ge 0\) \(y\ge 0\) \(3x+2y\le 24\) \(f(x,y)=7y-3x\) Do I solve this one the same way as the last?
haleyelizabeth2017
  • haleyelizabeth2017
...except find the maximum instead of minimum?
phi
  • phi
yes

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haleyelizabeth2017
  • haleyelizabeth2017
Awesomeness...
haleyelizabeth2017
  • haleyelizabeth2017
So...f(0,0)=7(0)-3(0) f(0,0)=0 f(4,6)=7(4)-3(6) f(4,6)=28-18 f(4,6)=10 f(8,0)=7(8)-3(0) f(8,0)=56 so the maximum is 56...
phi
  • phi
isn't f(x,y)= 7y -3x ?
haleyelizabeth2017
  • haleyelizabeth2017
shoo...yes -_-
haleyelizabeth2017
  • haleyelizabeth2017
good catch...
haleyelizabeth2017
  • haleyelizabeth2017
..so it's really 30..
haleyelizabeth2017
  • haleyelizabeth2017
time to tackle my next assignment!

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