$*$Please DON'T use chat gpt or I will downvote, and please draw by hand if possible$*$ Lorenz curve:

a$.$ Imagine there are $5$ tennis players that play on a Tennis tour with a total prize pool

of $$450,000$ divided through $15$ tournaments.

The winner of each tournament wins the whole prize for that tournament

the tournament winners are as follows:

Player $1$: $1$ tournament.

Player $2$: $2$ tournament.

Player $3$: $2$ tournaments.

Player $4$: $3$ tournaments.

Player $5$: $7$ tournaments.

Draw the Lorenz curve of this scenario $(\%$ earnings in the vertical axis; $\%$ players in the horizontal axis$)$

b$.$ What is the name of this type of tournament and reward system?

c$.$ What are the tournament organizers trying to achieve by setting a tournament this way?