## Customers arrive at a hotel at 15 per hour (Poisson distributed)

Assume multiple server model. You must clearly show your steps, formulas, substitution, answer, and units. A lack of explaining steps may lead to a reduction in marks. Do not round up or down; use four decimal places everywhere. Use at least two places to calculate costs.
Customers arrive at a hotel at 15 per hour (Poisson distributed). The hotel currently employs three clerks at the reception desk to check in or check out guests. The average time for a clerk to check in a guest is 9.5 minutes (exponentially distributed). The hotel pays \$10 per clerk per hour and assigns goodwill costs of \$4 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

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