# A food store has an average of

A food store has an average of 220 customers arriving per hourduring peak shopping hours. During these peak periods all eightcheckout counters will be open and operating with a capacity ofserving an average of 35 customers per hour per counter. Allcheckout counters are identical.

A. What proportion of the time would all of the checkoutcounters and waiting lines be empty of customers?B. How long would customers wait in line on the average?C. How many customers would be waiting in each line on theaverage?

 A. What proportion ofthe time would all of the checkout counters and waiting lines beempty of customers? 1) Total Customer 2202) Total counters 83) Per Counter Average Customer = Total Customer / Total Counters =220/8 = 27.5 Approx. 28 person4) Serving capacity of per counter per hours = 35 customers5) 1 hours means 60 minutes6) Time required to serve per counter 28 person = 60*28/35 = 48minutesTherefore, after 48 minutes or 0.80 hrs all counters will be emptyof customer. B. How long wouldcustomers wait in line on the average? 1)Serving capacity of per counter per hours = 28 customers2)Time required to serve per counter 28 person = 48 minutes3)Average time to serve per customer in counter = 48 minutes /28Customer = 1.714286 approx. 1.72 minutesTherefore, average waiting time of each customer would be 1.72minutes C. How many customerswould be waiting in each line on the average? 1) Total Customer 2202) Total counters 83) Per Counter Average Customer = Total Customer / Total Counters =220/8 = 27.5 Approx. 28 personTherefore, 28 person would be waiting in each counter.

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