A small grocery store is considenng the addition of bar code scanners at their check out counters, which would use the upC marked on all grocery packages. Currently, the check out derk keypunches the price of each item into the register dunng check out. Observations indicate that an average of 35 items are checked out per customer. The derk currently takes 5 seconds per item to keypunch the reqister and move the item along the check out table. On average it takes 20 seconds to total the ba, accopt money from the castomer, and make change. It then takes 5 seconds per itern for the derk to bag the customer's order, Finaly, about? 7 seconds are last to transition to the next customer. Bar code scanners would efiminate the need to keypunch each price, and the time per itern would be reduced to 3 seconds with the bar code scaninet. (a) What is the hourly throughput rote (number of customers checked out per hour) under the current check out procedure? (b) What would be the estimated hourly throughput rate if bar code scanners were used? (c) If separate baggers were used instead of requiting the check out derk to perform bagging in addition to check out, what would be hourly throughput fate? Assume that bar code scanners are used by the derk. Each has a transition The longest cyde time between bagoer and derk would dictate the pace (d) Detemmine the productivity index for each of the two cases in (b) and (c), using (a) as the basis of comparson and hourly customers checked out per tabor hour as the measure of productivity