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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.