Consider the Kristen's Cookie case and suppose that the sequence of tasks is the same, but the duration of some of the tasks changes to the following: Mixing 5 minutes of labor time for 1 dozen cookies; 6 minutes of labor time for 2 dozen of the same type of cookies: 7 minutes of labor time for 3 dozen of the same type of cookies; Spooning 2 minutes of labor time per dozen cookies, Baking 15 minutes of oven time per dozen cookies (1 minute of labor time to load the oven, 14 minutes of baking): Cooling 4 minutes per dozen cookies; Packing 2 minutes of labor time per dozen cookies, Payment 2 minutes of labor time per order. As in the case, you will mix and spoon: your roommate will set up and load the oven, pack, and accept payment. Furthermore, assume that three identical ovens are available for your use. (1) Consider a particular day when each customer order is for one dozen cookies. (a) Draw a process flow diagram showing the time of each task. (b) Identify the bottleneck and determine the steady-state system capacity (in dozens per hour). (c) What is the steady-state utilization of the ovens (in percentage)? (d) What will be the steady-state system capacity (in dozens per hour) if your roommate is not available and one of the three ovens breaks down? (2) Suppose that each customer order is for two-dozen cookies of the same type. (a) What would be the bottleneck and the steady-state system capacity (in dozens per hour)? (b) What is the cycle time (in minutes) for the system? (c) Create a Gantt chart and determine the throughput time (in minutes) (3) Suppose that each customer order is for three-dozen cookies of the same type. (a) What would be the bottleneck and the steady-state system capacity (in dozens per hour)? (b) Create a Gantt chart and determine the throughput time (in minutes). (c) What is the steady-state utilization of you (in percentage)? of your roommate? (d) What will be the steady-state system capacity (in dozens per hour) if you don't work and your roommate is the only available labor