The inventory management costs for a certain product with a price of $$44$ per unit and an annual demand of $1200$ units are:

Ordering cost per order, $$230$;

Holding cost per unit per year, $$8\mathrm{.}8.$

Compute the annual ordering cost, the annual holding cost, the annual total ordering and holding cost for order quantities of $1200,600,$ and $300.$ Also compute the optimal order quantity, optimal annual cost of orders, and optimal total cost of orders and inventory $($Do not round the computed optimal order quantity when when computing these costs$).$