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 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

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For optimization problems, ensure that all constraints are met while maximizing the score or outcome. Use trial and error to find the best combination that satisfies all conditions.
Updated On: Mar 7, 2025
  • 20
  • 21
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The Correct Option is C

Solution and Explanation

- From the given constraints:
- Management books (1 book)
- Fiction books (2 books minimum)
- Mathematics books (1 book)
- Physics books (2 books minimum)
- Total books = 1 + 2 + 1 + 2 = 6, with total points = 4 + 3 + 2 + 1 = 10. Hence, maximum points that can be earned are 22.
Thus, the correct answer is (C).
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