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Question - The claims processing unit of an auto insurance company receives 40 claims per hour. The claims go through 4 possible stages, see figure below. In each stage, a claim is handled by only one worker.
All claims first go through a Review stage, staffed by 4 workers. A worker at the Review stage takes 6 minutes to process a claim. After the Review stage, all claims go through an Evaluation and Verification stage, staffed by 6 workers. A worker in this stage takes 10 minutes per claim. After the Evaluation and Verification stage, on average only 25% claims turn out to be 'clean' that can be directly authorized for payment. The remaining 75% of claims require a further Management Review for handling exceptions. There are 6 workers at the Management Review stage, and it takes 15 minutes for a worker to perform a management review per claim. After the Management Review, only 60% of the claims are approved and authorized for payment. The remaining 40% of the claims are rejected and exit the system. There are two workers at the Authorization for Payment stage who issue payment for approved claims, and it takes a worker 5 minutes per claim.
What is the "entry" capacity of the entire system in claims per hour, i.e., the maximum number of claims per hour that the system can receive and process"?
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