You are responsible for setting up the front desk for Redi$-$Help Emergency Care systems. In conversation with the owners of this new facility, Hope Hospital Systems, you have found that the waiting room will accommodate $52$ patients. However, management wants no more than $87\%$ utilization for the waiting room. At peak times $($e$.$g$.,$ for flu season testing or COVID$-19$ testing$),$ it is anticipated that $70$ patients would be arriving per hour.

a$.$ How would you use this information? $($Hint: Focus on wait time.$)$

Note: Do not round intermediate calculations. Round the final answer to the nearest whole number.