Suppose that the barber of Example 3 is unlucky enough to have only one employee (himself), and

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Suppose that the barber of Example 3 is unlucky enough to have only one employee (himself), and no waiting space other than the chair used by the customer on which he is currently working. He wishes to minimize the long-run average queue length \(L\) by decreasing the traffic intensity (i.e., by increasing the service rate \(\mu\) ), but counterbalancing this is an implicit cost inversely proportional to \(ho\). Find the traffic intensity \(ho\) that minimizes

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