Please help me with this

3. (20 Points) You are a manager at Harris Teeter. The store has 40 arrivals per hour and each checkout clerk can process 15 customers per hour at the register. A clerk costs $25,000 per year. Management has determined customers are upset if it takes longer than 10 minutes from the time they enter the line until they are done checking out and can start walking to their car. The cost of waiting (customer dissatisfaction, customer balking, etc.) is $10,000 per year for every minute (or partial minute) over 10 minutes. Based on this information, develop a business case and recommendation for the number of clerks (registers) to open. State/explain all of your assumptions; show your work and units of measure. Arrival rate (E) 40 arrivals per time period Service rate (E) 15 customers per time period, per server IMPORTANT: The formulas are only valid if the cumulative service rate exceeds the arrival rate (c'[ > [) Probability of Average Average zero customers number of number of Average time Number of in the system customers in customers in in system Average time servers (c) (PO) system (Ls) line (Lq) (Ws) in line (Wq) 1 DOWN 2.80% 9.047 6.380 0.23 0.16 5.99% 3.424 0.757 0.09 0.02 6.71% 2.851 0.185 0.07 0.00 6.89% 2.716 0.050 0.07 0.00 6.93% 2.680 0.013 0.07 0.00 6.95% 2.670 0.003 0.07 0.00 6.95% 2.667 0.001 0.07 0.00 10 6.95% 2.667 0.000 0.07 0.00