27 May Question This part of the questions 1-4 is based on the following information. The Schmedley Discount Department Store has approximately 300 c
Question
This part of the questions 1-4 is based on the following information.
The Schmedley Discount Department Store has approximately 300 customers shopping in its store between 9 A.M. and 5 P.M. on Saturdays. In deciding how many cash registers to keep open each Saturday, Schmedley’s manager considers two factors: customer waiting time (and the associated waiting cost) and the service costs of employing additional checkout clerks. Checkout clerks are paid an average of $8 per hour. When only one is on duty, the waiting time per customer is about 10 minutes (or hour); when two clerks are on duty, the average checkout time is 6 minutes per person; 4 minutes when three clerks are working; and 3 minutes when four clerks are on duty.
Schmedley’s management has conducted customer satisfaction surveys and has been able to estimate that the store suffers approximately $10 in lost sales and goodwill for every hour of customer time spent waiting in checkout lines.
Please fill out the following table to answer the quiz questions in Part 1.
Number of checkout clerks
1 2 3 4
Number of customers 300 300 300 300
Average waiting time (per customer)
Total customer waiting time
Cost per waiting hour
Total waiting cost
Checkout clerk hourly salary
Total pay of clerks for an 8-hour shift
Total expected cost
| Please fill out the following table to answer the quiz questions 1-4 to this problem. | ||||
| Number of checkout clerks | ||||
| 1 | 2 | 3 | 4 | |
| Number of customers | 300 | 300 | 300 | 300 |
| Average waiting time (per customer) | ||||
| Total customer waiting time | ||||
| Cost per waiting hour | ||||
| Total waiting cost | ||||
| Checkout clerk hourly salary | ||||
| Total pay of clerks for an 8-hour shift | ||||
| Total expected cost |
1. The total customer waiting time is hours when there is only one clerk, and it will be reduced to only hours if there are four clerks. (Please only enter an integer and include no units.)
2. The total wait cost is dollars when there is only one clerk, and it will be reduced to only dollars if there are four clerks. (Please only enter an integer and include no units.)
3. The total cost of hiring is only dollars when there is only one clerk, and it will be increased to dollars if there are four clerks. (Please only enter an integer and include no units.)
4. To minimize the total expected cost based on your calculations above, the optimal number of clerks to have on duty each Sunday is ___________.
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