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Mathematics, 11.04.2020 01:18 zack66828
The Friendly Neighbor Grocery Store has a single check-out stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 20 per hour. The service-timedistribution is exponential, with a mean of 2.5 minutes. This situation has resulted inoccasional long lines and complaints from customers. Therefore, because there is no roomfor a second checkout stand, the manager is considering the alternative of hiring anotherperson to help the cashier by bagging the groceries. This help would reduce the expectedtime required to process a customer to 1.5 minutes, but the distribution still would beexponential. The manager would like to have the percentage of time that there are more than twocustomers at the checkout stand down below 25 percent. She also would like to have nomore than 5 percent of the customers needing to wait at least 5 minutes before beginningservice, or at least 7 minutes before finishing service. ComputeL, Lq, W,Wq, P0,P1,P2for both the current mode of operation and the considered alternative.
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The Friendly Neighbor Grocery Store has a single check-out stand with a full-time cashier. Customers...
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