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 threeidentical ovens are available for your use.

(1) Consider a particular day when each customer order is for one dozen cookies.

1. Draw a process flow diagram showing the time of each task.
2. Identify the bottleneck and determine the steady-state system capacity (in dozens per hour).
3. What is the steady-state utilization of the ovens (in percentage)?
4. 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.

1. What would be the bottleneck and the steady-state system capacity (in dozens per hour)?
2. What is the cycle time (in minutes) for the system?
3. 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.

1. What would be the bottleneck and the steady-state system capacity (in dozens per hour)?
2. Create a Gantt chart and determine the throughput time (in minutes).
3. What is the steady-state utilization of you (in percentage)? Of your roommate?
4. 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?