How can I solve it? I have no idea to start. Please detail explain it so that I can understand and study as well. Thanks.

1. Thousand-Won Books is a small bookstore, and it would like to purchase at most 2,000 books. One feature of the store is that it prices all books at exactly $2500 each. The company purchases its books from three categories - Science Fiction, Romance, and Reference. Each of the categories sells two styles of books, i.e. paperback and hardcover books. Since most of the books people buy are paperback, the store decides that at least half of total books stocked should be paperback. The number of reference books should be at least 60% to the total number of science ction and romance books. To keep the store looking professional and to cater to local libraries, they wish to stock at least 30% hardcover books for each category. The store is set up so there is only a given amount of space left for each category of book. The cost per paperback and hardcover book is shown in the below table.J Cost per B-ooloJ Maximum Space Book CategoryJ Paperback (3)3 Hardcover ($)J (Books): 13.30.: Formulate a linear programming model to determine how many paperback and hardcover books in each category to purchase in order to maximize its prot. 16 marks)+4 p 2. Orient Express is a global distribution company that transports its clients1 products to customers in Japan and Korea. All the products are originally stored at four distribution centres (DCs) one in Los Angeles, one in New York, one in Texas and one in Georgia. They are then shipped to an overseas port, either Hong Kong or Singapore, before they can be shipped to the destinations in Japan and Korea. The shipping costs per container 'om U.S. ports to overseas ports, and, horn overseas ports to destinations are summarized in the following tableau ,J . -__|-, Los tngelemJ $3 0'04J $2104: a _ Georgiaa $3 8043 $35043 50043 +1