Ivan Koswara's Message Board

Algebra Level 3

Currently Ivan has 1010 free hours a day. If he decides to make a message board, he has to spend 55 minutes for every question on it. Suppose that if he has xx followers then there are x5\left\lfloor \frac{\sqrt{x}}{5} \right\rfloor questions on his message board daily. He doesn't want his free time to go less than 88 hours a day, since otherwise he doesn't have enough time for things he wants to do. If he makes a message board, how many followers can he have at most?

Note:

  • One hour consists of 6060 minutes.
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