13 A worker at the State Unemployment Office is responsible for processing a company’s forms when it opens for business. The worker can process an average of 4 forms per week. In 2002, an average of 1.8 companies per week submitted forms for processing, and the worker had a backlog of .45 week. In 2003, an average of 3.9 companies per week submitted forms for processing, and the worker had a 5-week backlog. The poor worker was fired and sued to get his job back. The court said that since the amount of work submitted to the worker had approximately doubled, the worker’s backlog should have also doubled. Since his backlog increased by more than a factor of 10, he must have been slacking off, so the state was justified in firing him.

Use queuing theory to defend the worker (based on an actual case!).