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

Question

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

anonymous · Answer

@Nnesha can you help please!!!

anonymous · Answer

$f$ is an objective function and here we have a simple linear programming problem in two variables

anonymous · Answer

plot the inequalities and find their points of intersection

anonymous · Answer

then test the four points of intersection you'll get in the objective function and the largest value you get is the maximum

anonymous · Answer

this is because a linear objective function defined on a polytope takes extreme values at extreme points, i.e. vertices

anonymous · Answer

i have no clue how to do any of that , can someone help