At what volume of production will the threshold of profitability be reached?

a) At what volume of production will the threshold of profitability be reached?
b) Assuming that annual sales are estimated at 20,000 units, being the distribution evenly over a year, on what date will the break-even point be reached?
c) What would be the sales value or turnover corresponding to the threshold of profitability?

2. The company Derabel, S.A. is considering buying a new machine for its production process. This project means an initial cost of € 200,000 and the machine is estimated to have a useful life of 5 years. The maximum productive capacity of the machine is 200,000 units per year. However, the first year it is expected that the activity will be 70% of the maximum installed capacity, reaching 100% from the second year.