Waiting Line Analysis Problems (20 points) Q5. The HR office at the BestCompanyEver handles all employee requests for the over 500 employees working at this site. A recent survey revealed a high degree of employee frustration over long wait times in the HR office. In order to increase employee satisfaction, the HR Manager asked you for the appropriate staffing in the office. After some analysis you have determined these facts: The employees arrive on average at a rate of 16.2 employees every 30 minutes. On average, an HR clerk takes 10 minutes to resolve an issue. The average hourly rate of an employee is $25/hr. The HR clerks earn $17.50 hr. a. Which Queuing Model applies to this problem and why? b. What are the arrival and service rates? C. How many clerks should you have to yield an average waiting time of less than 10 min? d. How many clerks should you have to minimize the total cost? Please plot the total cost as a function of the number of clerks. e. Based on the above analysis, what do you tell your Manager? f. What is the probability an employee having to wait in the HR office with 7 clerks? Waiting Line Analysis Problems (20 points) Q5. The HR office at the BestCompanyEver handles all employee requests for the over 500 employees working at this site. A recent survey revealed a high degree of employee frustration over long wait times in the HR office. In order to increase employee satisfaction, the HR Manager asked you for the appropriate staffing in the office. After some analysis you have determined these facts: The employees arrive on average at a rate of 16.2 employees every 30 minutes. On average, an HR clerk takes 10 minutes to resolve an issue. The average hourly rate of an employee is $25/hr. The HR clerks earn $17.50 hr. a. Which Queuing Model applies to this problem and why? b. What are the arrival and service rates? C. How many clerks should you have to yield an average waiting time of less than 10 min? d. How many clerks should you have to minimize the total cost? Please plot the total cost as a function of the number of clerks. e. Based on the above analysis, what do you tell your Manager? f. What is the probability an employee having to wait in the HR office with 7 clerks