Recall the Kellogg Cereal Production Process case. Presume they want to keep a production cycle wherein they cook raisin bran for eight hours, perform a four hour setup, cook frosted flakes for eight hours, and then perform another four hour setup. Now, suppose that to avoid starving the packaging line, Kellogg wants to raise the capacity of its cooking process (it is currently four tons/hour). Given the capacity for the cooking step is 4 tons/hour, how big must the hopper be? In other words, what does the capacity of the hopper need to be