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 carry I must carry two or more fiction books, and for every mathematics book I carry 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 maximise the points I can earn by carrying the most appropriate combination of books in my bag. The maximum points that I can earn are:
The points would be maximum when the person carries 1 management, 2 fiction, 2 maths and 5 physics book.
Hence total points 4+2+6+10 = 22.
Hence option c.
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