Question 52
The person in charge of the Finisterre lighthouse has received notification that there is going to be a power outage and must operate the lighthouse with the help of the diesel-powered generator. This generator consumes $6$ liters of diesel every hour and half a liter more each time it has to be started (initially, it is stopped). At the exact $10$ hours that the night will last, the lighthouse cannot stop working for more than $10$ minutes at a time. And when it works it has to work for at least $15$ minutes at a time. How many liters of diesel do you need, at least, to meet the operating standards of the headlight?