Question

I have worked out the inequalities and drawn the graph. I just can't figure out how to do the last part (e).
Please help!

Answer 1

Finally you should maximize Z=10x+30y

sub x and y with the vertices of the shaded area(x,y). Find out for which combination of (x,y) , Z is max. That's all

Answer 2

Just the vertices or should I sub the points which lie inside the shaded area?

Answer 3

Just the vertices of the shaded area