Please Explain how you got the answers :

To obtain your first driver's license, you must successfully complete several activities. First, you must produce the appropriate identification. Then, you must pass a written test. Finally, you must pass the road test. At each of these steps, 10 percent, 15 percent, and 40 percent of driver's license hopefuls fail to fulfill the step's requirements. You are only allowed to take the written test if your identification is approved, and you are only allowed to take the road test if you have passed the written test. Each step takes 5, 3, and 20 minutes, respectively (staff members administering written test need only set up the applicant at a computer). Currently the DMV staffs 4 people to process license applications, 2 to administer written tests, and 15 to judge the road test. DMV staff work 8 hours per day.

What is the bottleneck according to the current staffing plan? What is the capacity of the process (expressed in approved cases per day)?

Consider the following four-step assembly operation with quality problems. All resources are staffed by one employee.

The first resource has a processing time of 5 minutes per unit.

The second resource has a processing time of 6 minutes per unit.

The third resource has a processing time of 3 minutes per unit. With a 30 percent probability, the flow unit coming out of the third resource has to be reworked. In that case, the operations at the first, second, and third resources are repeated. You can assume that (a) rework always succeeds and (b) the processing times for units in rework are same as for regular units.

The fourth resource has a processing time of 4 minutes per unit.

Where in this process is the bottleneck? What is the capacity of the process?