Question: [Knapsack Problem] Suppose a 10 lbs knapsack (bag) is to be filled with the items listed in the table below. To maximize total benefit, how

[Knapsack Problem] Suppose a 10 lbs knapsack (bag) is to be filled with the items listed in the table below. To maximize total benefit, how should the knapsack be filled assuming that you only have one unit from each item?

[Knapsack Problem] Suppose a 10 lbs knapsack

i) Define states, stages and value function of the dynamic programming.

ii) Find the optimal policy and maximum benefit.

Item Weight Benefit 1 4 11 2 3 7 3 5 12

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