At the beginning of year 1, a new machine must be purchased. The cost of maintaining a machine, depending on its age, is given in the file P05_61.xlsx. The cost of purchasing a machine at the beginning of each year is given in this same file. There is no trade-in value when a machine is replaced. The goal is to minimize the total (purchase plus maintenance) cost of having a machine for five years. Determine the years in which a new machine should be purchased.