Question:

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 Ipoints 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

Updated On: Oct 10, 2024
  • 20
  • 21
  • 22
  • 23
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The Correct Option is C

Solution and Explanation

Management
(points)
Mathematics
(points)
Physics
(points)
Fiction
(points)
Possible Combinations 
(No. of books 
of each subject)
1(4)1(3)1(2)1(1)
Compulsory
combination
2 Fiction (2)2 Physics (4)nonenone

Thus 2 more books of Physics (4 points) can be carried along with the above said combination by which I can earn a total of 22 points.
The correct option is (C)
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