1. a. Apply the bottom-up dynamic programming algorithm to the following instance of the knapsack problem:...

 

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1. a. Apply the bottom-up dynamic programming algorithm to the following instance of the knapsack problem: item 1 2 3 4 weight 3 32145 5 value $25 $20 $15 $40 $50 capacity W = 6. b. How many different optimal subsets does the instance of part (a) have? c. In general, how can we use the table generated by the dynamic program- ming algorithm to tell whether there is more than one optimal subset for the knapsack problem's instance? 1. a. Apply the bottom-up dynamic programming algorithm to the following instance of the knapsack problem: item 1 2 3 4 weight 3 32145 5 value $25 $20 $15 $40 $50 capacity W = 6. b. How many different optimal subsets does the instance of part (a) have? c. In general, how can we use the table generated by the dynamic program- ming algorithm to tell whether there is more than one optimal subset for the knapsack problem's instance?