(Originais Teachy 2023) - Question Very Hard of Mathematics

A technology company is developing a new software that will be launched at a business conference. To attract more investors, the company has decided to offer a special 40% discount to the first 50 companies that purchase the corporate license package. However, the company cannot incur a loss of more than 100,000 reais due to these discounts, and the corporate license package originally costs 400,000 reais. Considering that companies buy exactly the number of licenses they need and that the discount is applied to the total value of the corporate licenses of each company, answer: 1) What is the value of the discount offered to each company that qualifies for the first 50 discounts? 2) If the company reaches the discount limit of 100,000 reais, how many companies will have purchased the corporate license package with the maximum 40% discount? Justify your answers mathematically.