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.

1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?