Use the Qalculator scenarios to answer this question (llen at the top of the page). Show all your reasoning and specify the scenario (s) used. Booter Scooter has entered into a partnership with the municipal transport service which will allow it to supply scooters to the Terminus station of the light train operated by the municipality. Passengers who get off at Terminus can therefore rent a scooter to get from the station to their home. Passengers disembark at Terminus at an exponential rate of 300 per hour and it is estimated that 10% of them would rent a scooter to reach their home, if there were one available at the station. They would walk home if there weren't any. Suppose also that ... each scooter rented from Terminus takes an average of 2 hours to return there (exponential distribution) through a collection service a scooter rented from Terminus generates an average income of $ 30. the cost of supplying a scooter is $ 5 per hour (if we got 10 it would come to $ 50 per hour, if we got 20 it would come to $ 100 per hour, etc). ) the wait cost per client is estimated at $ 5 per hour. the unit blocking cost is estimated at $ 2 per blocked customer. A customer who comes home on foot is considered stranded because there is no scooter available.

per blocked customer. A customer who comes home on foot is considered stranded because there is no scooter available. 1- Estimate the contribution to profit per hour with 30 scooters at the Terminus station. Remarks : Contribution to profit per hour = revenue per hour - total costs per hour. Total costs per hour = total provisioning cost per hour + total wait cost per hour + total blocking cost per hour. 2- Suppose we want to set up a queue of limited size where potential customers could wait if there was no scooter available at the station. These potential customers, if they could join the queue, would get a scooter on a first come, first served basis. If the queue was at full capacity, new passengers would not be able to rent a scooter and would walk home. With 30 scooters at Terminus, what queue capacity would maximize the contribution to profit per hour?