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 14 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 20 customers per hour. It is the manager's service goal to limit the waiting time prior to beginning the checkout process to no more than ve 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 singleserver operation, the service rate could be increased to 30 customers per hour. (Round your answers to four decimal places. Report time in hours.) Lq Wq .4083 .0292 I '1 h (b) Hire a second person to operate a second checkout counter. The two-server operation would have a service rate of 20 customers per hour for each server. (Round your answers to four decimal places. Report time in hours.) Po Lq Wq (c) What alternative would you recommend? Justify your recommendation. Both plan (a) and plan (b)v J will solve the time constraint. Given that the cost of implement plan (a) v V plan (b) v .I is likely to be higher than the cost of plan (a) v , the overall preference will be to