1) Pipes are installed in a process with two resources. The processing time of the first resource is 11 hours. The processing time of the second resource is 8 hours. The first resource has 5 workers and the second resource has 12 workers. The cycle time of the process is 16.3 hours.

What is the average labor utilization (%)?

Note: Round your answer to 1 decimal place.

2) A process includes 9 tasks and there are 3 workers. Each task can be assigned to only one worker and each worker must be assigned consecutive tasks.The time to complete tasks 1 to 9 (in seconds) are as follows:

90, 75, 25, 25, 50, 30, 10, 80, 90

What is the capacity of this process in units per hour?

Note: Round your answer to 1 decimal place.

3) Wagons are assembled in a process with two resources. The first resource has a capacity of 33 wagons per hour. The capacity of the second resource is 36 wagons per hour. The first resource has 1 worker and the second resource has 6 workers. One additional worker is hired who is as productive as the current workers.

What is the new capacity of this process?

Note: Do not round intermediate calculations. Round your answer to 3 decimal places.

4) Customers are served in a process with two resources (workers in each resource work independently). The processing time (per worker) of the first resource is 8.1 minutes. The processing time (per worker) of the second resource is 5.5 minutes. The first resource has 2 workers and the second resource has 2 workers. Assume 2 workers are added to the process and all of them are assigned to one of the resources.

What would be the capacity of this process?

Note: Do not round intermediate calculations. Round your answer to 3 decimal places.

5) Applications are scanned in a process with two resources. The first resource has a capacity of 0.35 applications per minute. The capacity of the second resource is 0.39 applications per minute. The first resource has 1 worker and the second resource has 5 workers.

What is the capacity of the process if workers can now work at both resources and processing times do not change?

Note: Do not round intermediate calculations. Round your answer to 3 decimal places.