Algorithms · Question 13 · Hard

Algorithms question 13

A 0/1 knapsack has capacity 7 kg. The items (weight, value) are: (1 kg, ₹1), (3 kg, ₹4), (4 kg, ₹5), (5 kg, ₹7). What is the maximum total value that fits?

  1. ₹9
  2. ₹8
  3. ₹10
  4. ₹12
Answer and explanation

Answer: A. ₹9

Explanation: The best choice is the 3 kg and 4 kg items: weight 7, value 4 + 5 = 9. The 5 kg item can only pair with the 1 kg item (value 8), and 5 + 7 = 12 would need 9 kg.

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