Question

A checkout line at a grocery store takes an average of 2.25 minutes to ring up a customer's order. On average, four customers are in the checkout line. Use the Excel template Little's Law to find the average number of customers per hour that are processed in the checkout line.

Answer 1

The average number of customers per hour processed in the checkout line is approximately 71.11.

Step-by-step explanation:

To find the average number of customers per hour processed in the checkout line, we can use Little's Law. Little's Law states that the average number of customers in the system (N) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In this case, the arrival rate is given as four customers in the checkout line, and the average time a customer spends in the system is 2.25 minutes. Therefore, the average number of customers per hour processed in the checkout line is:

N = λ * W

N = 4 * (60/2.25)

N = 160/2.25

N ≈ 71.11

So, the average number of customers per hour processed in the checkout line is approximately 71.11.