Question: 1 (20 points) Let vt(st) be the maximum benefit that can be earned for item t given an st-pound knapsack, assuming the optimal policy is

1 (20 points) Let vt(st) be the maximum benefit that can be earned for item t given an st-pound knapsack, assuming the optimal policy is followed for stage t and all future stages. Suppose the knapsack has a capacity of 8 lb and is to be filled with the following items: Item 1: 2 lbs, Benefit 7 Item 2: 3 lbs, Benefit 10 Item 3: 4 lbs, Benefit 11 Find the optimal items to select in the knapsack to maximize the total benefit. 1

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