c) (4 points) The store is considering redesigning its work flow again, merging the two salad...

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c) (4 points) The store is considering redesigning its work flow again, merging the two salad production lines into a single line, and have all 5 workers prepare walk-in and online orders in a first-come-first-serve manner. If this change is implemented, what is the new waiting time for the walk-in customers? d) (4 points) Under the current work flow, what is the average number of walk-in cus- tomers who are waiting in line? What would be the average length of the queue after the two lines are merged? e) (2 points) In addition to waiting times, what other factors should the store consider when making the decision on whether to merge the two salad production lines? What do you think are the pros and cons? Question 2. (15 points) The salad store in Morningside Heights is among the first fast- casual restaurant chains to create its own app and allow customers to order ahead on its website. Recently, the company redesigned the store for digital volume, with one salad production line in the front serving walk-in customers (who order their salads in person in the store), and an extra salad production line in the back, fulfilling online orders only. During lunch hours, 3 workers make salads at the front for walk-in customers, while 2 workers fulfill online orders in the back. Each salad takes an average of 4 minutes to prepare, and the standard deviation of this preparation time is 3 minutes. (The preparation times for walk-in and online orders have the same distribution.) The interarrival time for walk-in customers is 1.5 minutes on average, and the average interarrival time for online orders is 3 minutes. Assume that customers and online orders arrive randomly, such that the coefficient of variation of the interarrival times is 1 for both lines. a) (3 points) How many minutes on average does a customer need to wait in line, if the customer walks into the store to order the salad in person? b) (2 points) If the customer places an order online instead, how many minutes does it take for the customer to get the salad (after the customer placed the order)? c) (4 points) The store is considering redesigning its work flow again, merging the two salad production lines into a single line, and have all 5 workers prepare walk-in and online orders in a first-come-first-serve manner. If this change is implemented, what is the new waiting time for the walk-in customers? d) (4 points) Under the current work flow, what is the average number of walk-in cus- tomers who are waiting in line? What would be the average length of the queue after the two lines are merged? e) (2 points) In addition to waiting times, what other factors should the store consider when making the decision on whether to merge the two salad production lines? What do you think are the pros and cons? Question 2. (15 points) The salad store in Morningside Heights is among the first fast- casual restaurant chains to create its own app and allow customers to order ahead on its website. Recently, the company redesigned the store for digital volume, with one salad production line in the front serving walk-in customers (who order their salads in person in the store), and an extra salad production line in the back, fulfilling online orders only. During lunch hours, 3 workers make salads at the front for walk-in customers, while 2 workers fulfill online orders in the back. Each salad takes an average of 4 minutes to prepare, and the standard deviation of this preparation time is 3 minutes. (The preparation times for walk-in and online orders have the same distribution.) The interarrival time for walk-in customers is 1.5 minutes on average, and the average interarrival time for online orders is 3 minutes. Assume that customers and online orders arrive randomly, such that the coefficient of variation of the interarrival times is 1 for both lines. a) (3 points) How many minutes on average does a customer need to wait in line, if the customer walks into the store to order the salad in person? b) (2 points) If the customer places an order online instead, how many minutes does it take for the customer to get the salad (after the customer placed the order)?