Maintenance Planning (machine)

27 teams scored 1500 points on this task, for a maximum score of 100, an average score of 56 and a median score of 45.

Highlights

  1. Antonio Rosmini, Rovereto is the institute with the most points (180).
  2. Trentino is the region with the most points (280).

Statement

At Amedoro-7-9, the manufacturing company owned by the problemist Luca, a lot of machines are used for producing all sorts of things. The end of the year is approaching and his accounting department started analyzing the profits and the expenses of the year. The results? Terrible! Luca has become angrier than ever, threatening to fire his employees if they don't find a solution immediately! Night after night, the employees finally found out the cause of the loss: bad management of The Machine. The Machine is the main component of the factory, it costs C euros to be bought new, and every year you'll have to pay M[a] euros for the maintenance (a>0 is the age in years of The Machine). Of course you can sell an old The Machine, recovering part of its costs: after a>0 years The Machine can be sold for P[a] euros. After D years The Machine is too old to be used and has to be sold. For example if The Machine costs C and has a lifespan of D years, after the first year you have to pay C+M[1]...