Problem 2. (16 points) Consider the Kristen's Cookie Company (KCC). Suppose that the sequence of processing stages stays the same, but the duration of some of the process steps has changed. The sequence of steps and their duration are as follows: MixingSpooningBakingCoolingPackingPayment5minutesoflabortimefor1dozencookies:6minutesoflabortimefor2dozensofsame-typecookies;7minutesoflabortimefor3dozensofsame-typecookies;2minuteoflabortimeperdozencookies;15minutesofoventimeperdozencookies:1minuteoflabortimetosetupandloadtheovenfollowedby14minutesofbaking;4minutes;2minutesoflabortimeperdozencookies;2minutesoflabortimeperorder. Unlike the case - Kristen will mix and pack; the roommate will spoon, set up and load the oven, 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. Ignore the mixer in your analysis for simplicity. Consider two scenarios: (i) each customer's order is for one dozen cookies, and (ii) each customer's order is for two dozen cookies of the same type. Answer the following questions. Show your work to receive full credits. 1. (8 points) Identify the bottleneck and find the process capacity (in dozens per hour) under scenarios (i) and (ii), respectively. 2. (4 points) Consider scenario (i) only. What is the process capacity (in dozens per hour) if the roommate is not available and one of the three ovens breaks down? 3. (4 points) Consider scenario (ii) only. What is the rush-order flow time for an order (in minutes)? Draw the Gantt chart