Consider the following simultaneous move game:

$$

$$

$$

Player $2$

$$

Strategy

Yes

No

Player $1$

$$

Yes

$400,400$

$200,375$

No

$600,500$

$300,525$

$$

a$.$ What is the maximum amount Player $1$ should be willing to pay for the opportunity to move first instead of moving at the same time as Player $2?$