Question

Choose all design strategies to solve different types of knapsack problems?

• A. a, b, c only
• B. b, c, d only
• C. a, b, c, d only
• D. b, c, d, e only

Hint:

Knapsack is one of the few classical problems that can be solved using Greedy, Dynamic Programming, Backtracking and Branch-and-Bound techniques.

Answer 1

The Correct Option is C

Concept: Different variants of the Knapsack Problem can be solved using different algorithmic strategies. Common strategies include:
• Greedy Method
• Dynamic Programming
• Backtracking
• Branch and Bound These approaches are used depending upon whether the problem is fractional, 0/1, bounded or unbounded.

Step 1: Fractional Knapsack.
Fractional Knapsack is optimally solved using the \[ \text{Greedy Method}. \]

Step 2: 0/1 Knapsack.
0/1 Knapsack can be solved using \[ \text{Dynamic Programming}. \]

Step 3: Optimization approaches.
Backtracking and Branch-and-Bound are also widely used for knapsack variants.

Step 4: Identify the correct option.
Hence all four strategies are applicable. Therefore, \[ \boxed{\text{a,b,c,d only}} \] is the correct answer.