If mean demand $($q$)$ is $500$ and standard deviation $($s$)$ is $100,$ wholesale price $($w$)$ is $$20$ and retail price $($p$)$ is $$30,$ then, what is the quantity $($Q$)$ that the retailer is likely to order to the manufacturer under a wholesale price contract?

$1$ point

$512$

$457$

$408$

$500$