Linear Programming help!! :(

[9_7]

Hey guys, i need help with where to shade the region wanted from your graph, how do you determine where to shade?! cheers

[Stick]

You need to test a point (the origin tends to be a good choice). If the inequality still holds truth after substituting a particular point, it means that point lies within the required region.

[paulsterio]

if y > f(x), region required is ABOVE the graph

if y < f(x), region required is BELOW the graph

[djsandals]

You need to test a point (the origin tends to be a good choice). If the inequality still holds truth after substituting a particular point, it means that point lies within the required region.

Just make sure you don't test the origin if the line passes through it

[djsandals]

if y > f(x), region required is ABOVE the graph

if y < f(x), region required is BELOW the graph

Only thing about this method is that the inequality must be in y=mx+c form.

[MissJannine]

Yeah a common test point is (0,0)

So for example if the constraint is y<2x+3 you substitute (0,0) into the equation so you will end up with 0<3. 0 is less than 3 so the constraint is true. Shade away from the point (0,0) Repeat with all constraints and the area that remains unshaded is the feasible region.