MATH JULY Q6 (DO NOT COPY IRRELEVANT WORK FROM OTHER PEOPLE)

6. [-/5 Points] La = W = DETAILS Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with an arrival rate of 13 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 20 customers per hour. W = ASWMSCI15 11.E.013. It is the manager's service goal to limit the waiting time prior to beginning the checkout process to no more than five minutes. After reviewing the waiting line analysis of his store, the manager of Pete's Market wants to consider one of the following alternatives for improving service. (a) Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improved single-server operation, the service rate could be increased to 30 customers per hour. (Round your answers to four decimal places. Report time in hours.) -Select- -Select- MY NOTES (c) What alternative would you recommend? Justify your recommendation. Need Help? ASK YOUR TEACHER (b) Hire a second person to operate a second checkout counter. The two-server operation would have service rate of 20 customers per hour for each server. (Round your answers to four decimal places. Report time in hours.) Po = PRACTICE ANOTHER Read It will solve the time constraint. Given that the cost of --Select--- is likely to be higher than the cost of ---Select---, the overall preference will be to implement