How many different optimal subsets does the instance of, Computer Engineering

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How many different optimal subsets does the instance of

a. Apply the dynamic programming algorithm to the following instance of the 0-1 knapsack problem:

Item	Weight	Value
1	3	$25
2	2	$20
3	1	$15
4	4	$40
5	5	$50

capacity W = 6. Show your pseudo codes for the dynamic programming solution. You should include a procedure to retrieve an optimal solution.

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 programming algorithm to tell whether there is more than one optimal subset for the knapsack problem's instance?

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