A linear program is defined with constraints 8x+2y>9 , 7x+9y>0...x>0,y>0?

Question

Is the feasibility region bounded, unbounded, or empty

Answer 1

unbounded

Answer 2

Bounded because the limitation on both graphs say that the x and y values must be bigger then 0. If we put in one for the first graph we get 8(.5)+2(.5)=5 the contraint on this graph is answer must be bigger then 9 and it is not. Basicly the x and y values must be bigger then one.