T$.$J$.$ Smith makes purchasing decisions for his company. One product that he buys costs $$60$ per unit when the order quantity is less than $200.$ When the quantity ordered is between $200$ and $499,$ the price per unit drops to $$50.$ When the quantity ordered is $500$ or more, the price per unit drops to $$40.$ The ordering cost is $$30$ per order and the annual demand is $7,500$ units. The holding cost is $10$ percent of the purchase cost. T$.$J$.$ wishes to minimize his annual total inventory cost.

In order to minimize the annual total inventory cost, what order quantities must T$.$J$.$ evaluate? $($Round answer to nearest unit$).$

$300$ and $500$

$274$ and $335$

$274,300,$ and $500$

$274$ and $300$

$335$ and $500$