7. While you are going through immigration, the luggage is being unloaded from the plane and placed in an airport luggage car that will take the luggage to the terminal. The following is a simplified version of this process: Assume that one worker operates at each step. Step 1 has a processing rate of 2 units/min while Step 2 has a processing rate of 3 units/min. Originally, each worker stayed in their own activity throughout the day. To balance the two activities, the airport is now implementing a new work schedule under which the worker in Step 2 first helps the worker in Step 1 for x minutes and then works for 10 minutes at Step 2. (When the worker at Step 2 helps the worker at Step 1, each of these two workers in Step 1 has a processing rate of 2 units/min. When the worker at Step 2 works in that step, the worker operates at a processing rate of 3 units/min) Then, the process repeats. How long should the worker in Step 2 help the worker in Step 1 to balance the line?

8. What is the maximum WIP build-up between Step 1 and Step 2?

9. (a) What was the original capacity of the system before implementing the new schedule of work? 

(b) Now, based on your answer to 7, what is the new capacity of this process with the new implemented work schedule?