$40)$ Taizhou Products uses $800$ units of a product per year on a continuous basis. The product has carrying costs of $$50$ per unit per year and order costs of $$300$ per order. It takes $30$ days to receive a shipment after an order is placed and the firm requires a safety stock of $5$ days usage in inventory.

$($a$)$ Calculate the economic order quantity $($EOQ$).$

$($b$)$ Determine the reorder point. $($Assume a $360-$day year.$)$