My bag can carry no more than ten books. I must carry at least one book each of management, mathematics, physics and fiction. Also for every management book I must carry two or more fiction books, and for every mathematics book I must carry two or more physics books. I earn 4, 3, 2, and 1 points for each management, mathematics, physics and fiction book, respectively. I carry in my bag. I want to maximize the points I can earn by carrying the most appropriate combination of books in my bag. The maximum points that I can earn are