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Scenario: Customers at a local amusement park arrive at the rate of 20 customers per hour. The entry booth to the park is staffed by one employee. The mean service time at the booth to provide service for each customer entering the park is 2.5 minutes. Assume we can treat the entry booth system as a Single-Server Waiting Model. Answer the following questions. Where appropriate show your final answers to two decimal places. 1. What is the utilization of the entry booth system? 2. How many minutes each hour is the entry booth system idie? 3. What is the average number of customers waiting in line at the booth? 4. What is the average number of minutes a customer spends in the entry booth system? 5 . If we want to reduce the average number of minutes a customer spends in the system by 25%, what service rate will be required? 6. What is the probability that exactly two customers are in the system? Suppose we want to estimate the per day total cost of the park entry waiting system (booth). Suppose that previously the cost of customer waiting time in line at the booth was estimated at $10 per hour (due to customer dissatisfaction and loss of good will). The employee that works the booth is paid $12 per hour. Assume the park is open 8 hours per day. What is the total expected cost per day