answer question#1

Question 1 (10 points) Name: The management at Buy Rite grocery stores wishes to estimate the amount of time that customers are spending, on average, in its stores and in a checkout line. The most obvious approach for determining this information is to simply record when a customer enters and exits the store. However, it is difficult to track the entering and exiting times of specific customers. We will look at the problem using an alternative approach. Over the past two weeks, the following data have been collected at Buy Rite's newest store during busy hours (this Buy Rite is rather large and typically has 7 open checkout lines). For simplicity, let us assume that the overall capacity at checkout lines is higher than the arrival rate of customers into the store. 305 Average rate of customers entering store customers per hour Average number of customers in store 146 customers Percentage of customers who do not make a purchase Average number of customers in the checkout lines 24 customers 5% As BuyRite's consultant, you have been asked to address the following questions: (a) How much time, on average, does a customer spend in the store? (b) How much time, on average, does a customer spend waiting in line to checkout