Posted by Britt on Wednesday, January 30, 2008 at 7:48pm.
I put S for spaghetti on my vertical (Y) axis) and M for Meatball on my horizontal (x) axis then I connected 30 on the vertical axis with 50 on the horizontal axis to get a slanting straight line from (0,30) to (50,0). My feasible area is between the origin and the line in the first quadrant (no negative spaghetti or meatballs)
Same with the other one from (0,40) to (30,0)
Now I get those lines hit at about (13.6 , 21.8)
so inside the region defined by
(0,0), (0,30), (13.6, 21.8) (0,30)
either machine could do the work (intersection of sets)
inside the region defined by
(0,0), (0,40), (13.66, 21,8), (50,0)
one machine, or the other, or both could do the work
(union of sets)