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A barber shop has one barber who can give 12 haircuts per hour. Customers arrive at a rate of 8 customers per hour. Customer inter-arrival

A barber shop has one barber who can give 12 haircuts per hour. Customers arrive at a rate of 8 customers per hour. Customer inter-arrival times and service times are exponentially distributed. The following queuing analysis spreadsheet was developed from this information.

M/M/s queuing computations

Arrival rate

8

Service rate

12

Number of servers

1

(max of 40)

Utilization

66.67%

P(0), probability that the system is empty

0.3333

Lq, expected queue length

1.3333

L, expected number in system

2.0000

Wq, expected time in queue

0.1667

W, expected total time in system

0.2500

Probability that a customer waits

0.6667

I. Refer to Exhibit 13.2. Based on this report what percent of the time is the barber busy cutting hair?

a. 66.67%

b. 33.33%

c. 0.6667

d. 0.3333

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