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). What is the smallest capacity for the cooking process that will prevent starving the packaging line?

Cereal Production Flow Diagram: Cooking-Packaging Stage Raisin Bran Raisin Bran Packaging 1.5 tons/hr Hopper Raisin Bran Run Raw Materials Cereal Cooker Coating Drum 4tons/hr 4 tons/hr Frosted Flakes Run Frosted Flakes Packaging 1.5 tons/hr Frosted Flakes Set-Up Time-it took 4 hours to switch between cerealruns Hopper Cook Raisin Bran Setup Cook Frosted Flakes Setup Cook Raisin Bran Setup Cook Frosted Flakes Setup X hours 4 hours X hours 4 hours Cook Raisin Bran Setup Cook Frosted Flakes Setup 8 hours Y hours 8 hours Y hours Cereal Production Flow Diagram: Cooking-Packaging Stage Raisin Bran Raisin Bran Packaging 1.5 tons/hr Hopper Raisin Bran Run Raw Materials Cereal Cooker Coating Drum 4tons/hr 4 tons/hr Frosted Flakes Run Frosted Flakes Packaging 1.5 tons/hr Frosted Flakes Set-Up Time-it took 4 hours to switch between cerealruns Hopper Cook Raisin Bran Setup Cook Frosted Flakes Setup Cook Raisin Bran Setup Cook Frosted Flakes Setup X hours 4 hours X hours 4 hours Cook Raisin Bran Setup Cook Frosted Flakes Setup 8 hours Y hours 8 hours Y hours