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A customer service center receives an average of 40 calls per hour. The service time per call follows an exponential distribution with a mean of

A customer service center receives an average of 40 calls per hour. The service time per call follows an exponential distribution with a mean of 3 minutes. The cost of each customer waiting in the queue is estimated at $2 per minute. The cost of each idle agent is $30 per hour. What is the expected cost per hour for the system?

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