A fast food drive-through restaurant has a single serving booth staffed by a single operative. There is space for ten vehicles to wait if the service booth is occupied. If all ten spaces are occupied when a car arrives, it has to drive past and the customer is lost. Cars arrive at random at a rate of 55 per hour. Service times are exponential with a mean of one minute. Employees are paid 10.30 per hour. Time waiting before receiving service has a high value in the fast food industry. Here it is valued at 95 per hour. The average revenue per customer is 15. For this queueing situation, use the queueing template spreadsheet (and enter answers to the accuracy displayed by the spreadsheet) to calculate the average number of cars at the drive- through (the whole system) and the average time a car is waiting to be able to drive up to the booth and make their order and the probability a customer will fail to achieve entry to the drive- through . Note: Fill the first three blanks with 4 decimal places. Calculate the hourly cost of the system under present circumstances . Note: Enter this and all further costs in this question to 2 decimal places. The manager of the drive-through restaurant could choose to build and staff extra serving booths if it resulted in an overall cost saving. However, the additional space required would mean a reduction in the space for cars to wait for service for each additional booth, two waiting spaces are lost. To minimise costs, additional booths should be built. The waiting space is reduced to . This achieves a minimum hourly cost of.