anonymous
  • anonymous
using the following system of inequalities find the maximum value of f(x,y)=3x+8y x≥0 y≥0 3x+2y≤18 6x+7y≤42
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
@Nnesha can you help please!!!
anonymous
  • anonymous
\(f\) is an objective function and here we have a simple linear programming problem in two variables
anonymous
  • anonymous
plot the inequalities and find their points of intersection

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anonymous
  • anonymous
then test the four points of intersection you'll get in the objective function and the largest value you get is the maximum
anonymous
  • anonymous
this is because a linear objective function defined on a polytope takes extreme values at extreme points, i.e. vertices
anonymous
  • anonymous
i have no clue how to do any of that , can someone help

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