Problem 5 Customers arrive at a hotel at the rate of 26.80 per hour (Poisson distributed). The hotel normally has three clerks available at the desk to check guests. The average time for a clerk to check in a guest is 6 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