Prentice Hall wants to reduce a large stock of Quantitative Analysis books from their warehouse. Assuming the annual demand rate is $400$ books, the ordering cost is $$20,$ and the annual holding cost is $$8$ per textbook, the following is their quantity discount pricing schedule for the JU Bookstore: QUANTITY PRICE $1-99$ $ $150100+$ $ $148$ What is the minimum total annual cost $($in dollars$)?$