Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?
Answers
per week - 169344
per month - 677376
and
per year - 8128512
customers will be there
Answer:
Step-by-step explanation:
Since the question states that Little’s law can be applied to any single part of the store (for example, just the checkout line), then the average number of shoppers, N, in the checkout line at any time is N=rT, where r is the number of shoppers entering the checkout line per minute and T is the average number of minutes each shopper spends in the checkout line.
Since 84 shoppers per hour make a purchase, 84 shoppers per hour enter the checkout line. However, this needs to be converted to the number of shoppers per minute (in order to be used with T=5). Since there are 60 minutes in one hour, the rate is
84shoppersperhour
60minutes
=1.4 shoppers per minute. Using the given formula with r=1.4 and T=5 yields
N=rt=(1.4)(5)=7
Therefore, the average number of shoppers, N, in the checkout line at any time during business hours is 7.
The final answer is 7.