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Remaining Time: $1$ hour, $45$ minutes, $24$ seconds.

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Suppose a call center has one agent answering the calls. Customers call in at the rate of $15$ per hour, and on average it takes $3$ minutes to answer a call. There is no limit on the queue length. The average time that a customer spends in the system is $12$ minutes. What is the utilization of the agent?

$90\%$

Cannot be determined

$83\%$

$67\%$

$75\%$