TheoryofComputation
October 11, 2023UGC NET CS 2010 DecPaper2
October 11, 2023Algorithms
Question 236

Which of the following greedy strategies gives the optimal solution for the following 01 knapsack problem?
w=30, w1=10, p1=11, w2=15, p2=12, w3=20, p3=24, w4=25, p4=25
Largest profit per unit weight first


Largest profit first


Lightest item first


Heaviest item first

Question 236 Explanation:
Note: Even though they are asking 0/1 knapsack. We are always takes first profit/weight first.
→ W=30, we can exceed weight and we can’t take fractions of weight.
→ According to profit/weight, W3 having more profit. And W1 having more profit.
→ 0/1 knapsack optimal solution = 24+11 = 35
Correct Answer: A
Question 236 Explanation:
Note: Even though they are asking 0/1 knapsack. We are always takes first profit/weight first.
→ W=30, we can exceed weight and we can’t take fractions of weight.
→ According to profit/weight, W3 having more profit. And W1 having more profit.
→ 0/1 knapsack optimal solution = 24+11 = 35
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