Customers enter the camera department of a store at the average rate of nine per

Question

Customers enter the camera department of a store at the average rate of nine per hour The department is staffed by one employee, who takes an average of 6.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. Use Exhibit 7.12 a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the clerk)? (Round your answer to 2 decimal places.) Number of people a-2. How long would a customer expect to spend in the camera department (total time)? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Average total time minutes b. What is the utilization of the clerk? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Utilization % c. What is the probability that there are more than two people in the camera department (excluding the clerk)? (Do not round intermediate calculations. Round your answer to 1 decimal place.) Probability 7% d. Another clerk has been hired for the camera department who also takes an average of 6.0 minutes to serve each arrival. How long would a customer expect to spend in the department now? (Do not round intermediate calculations. Round your answer to 1 decimal place, use the closest value of ?/? in Exhibit 7.12 when determining Lq (i.e., do not interpolate).) Average total time minutes

Explanation / Answer

Current system Kendall's notation M/M/1 Comment Ans to Arrival rate A 9 3600/70 per hour Service rate S 10 60/6 per hour U Utilization ratio U=A/S 0.90000

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