Big Red Bookstore wants to ship books from its warehouses in Brooklyn and Queens to its stores, one on Long Island and one in Manhattan. Its warehouse in Brooklyn has 1,000 books and its warehouse in Queens has 2,000. Each store orders 1,500 books. It costs $1 to ship each book from Brooklyn to Manhattan and $2 to ship each book from Queens to Manhattan. It costs $5 to ship each book from Brooklyn to Long Island and $4 to ship each book from Queens to Long Island.
(a) If Big Red has a transportation budget of $8,240 and is willing to spend all of it, how many books should Big Red ship from each warehouse to each store in order to fill all the orders?
(b) Is there a way of doing this for less money?