Here we see in blue all the possible pizza combinations that one use of Garzon's machine can produce.

The pink dots represent combinations that would not be possible from a single use of the machine.

The blue stars represent use of the dough machine at maximum capacity. Notice that maximum capacity scenarios graph in a straight line. The dots below that line are all blue, so that part of the graph represents combinations that will work, or as we say in the math world, "solutions to the inequality 2x+y<=30."

*Notice that all of our data is represented with distinct dots and they all fall in the first quadrant. Negative data points and fractional data points don't make sense in this problem.