Zeynep and her roommate decided to open a late-night snack business, which they named Zeyno’s Cookie Company (ZCC). The following steps outline the order process depending on the order size, where Zeynep and her roommate share responsibilities:
Mixing: 5 minutes of labor time for 1 dozen cookies;
6 minutes of labor time for 2 dozen of the same type of cookies;
Spooning: 3 minutes of labor time per dozen cookies;
Baking: 15 minutes of oven time per dozen cookies (including 2 minutes for loading);
Cooling: 4 minutes;
Packing: 4 minutes of labor time per dozen cookies;
Payment: 3 minutes of labor time per order
Zeynep will mix and spoon; the roommate will set up and load the oven, pack, and accept payment. The roommate will also unload the oven but we shall assume that this activity consumes negligible time and can be performed in the middle of doing something else. Furthermore, assume that three identical ovens are available for your use.
Question: Calculate the capacities of all resources and identify the bottleneck. What is the capacity (in dozens per hour) and the steady-state system capacity (in dozens per hour) if only Zynep works, the roommate is not available and one of the three ovens breaks down?