Simone has been offered a chance to enter an exclusive, high stakes lottery. Each of N players must ante up $$1,000$ for a $\frac{1}{N}$ chance to win the whole pot. Her current wealth is $$10,000.$ She has constant relative risk aversion $=2$ preferences. Simone will:

Select one

A$.$ Play if $N>10$

B$.$ Play if $N>100$

C$.$ Play if $N<mn\; id="EditorElement\_11632459">1</mn><mn\; id="EditorElement\_11632460">0</mn><mn\; id="EditorElement\_11632461">0</mn>$

D$.$ Not play