Problem 9 Customers arrive at a hotel at the rate of 15-50 per hour (Poisson distributed). The hotel normally has two clerks available at the desk to check guests- The average time for a clerk to check in a guest is 7 minutes (exponentially distributed). The hotel pays $10 per clerk per hour, and the hotel assigns goodwill costs of $3 per minute for the time a guest must wait in line- Determine whether the present check-in system is cost-effective. If not, add or reduce the number of clerks and recommend an optimum number of clerks that lead to the minimum total cost. Calculate the total cost for the current system, your proposed system, and cost savings. Use multiple server model formulas. Assuming other models will not earn you any marks