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Q3 OPTIMISATION

My bag can carry not 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 is


Using the data given above we get optimum combination as: 1 Management book + 2 Maths books + 5 Physics book + 2 Fiction books, i.e., 10 books making 22 points

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