A volume used car lot in St$.$ Augustine sells $120$ cars per week. The average purchase price is $$10,000$ per car. Cost per order is $$500.$ Annual holding cost is $5$ percent of a car's purchase price. What is the total annual inventory cost if the lot manager uses an order quantity of $200$ units?

$$5,900$

$$96,200$

$$28,500$

$$65,600$