Need help on this problem. Integral Knapsack problem. 1a.by applying the dynamic programming. how many distinct subproblems does this instances have? the original prblem should aslo be included. 1b. what values of an optimal solution for this instance, that

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Need help on this problem. Integral Knapsack problem.

1a.by applying the dynamic programming. how many distinct subproblems does this instances have? the original prblem should aslo be included.

1b. what values of an optimal solution for this instance, that is, the total value of most valuable subset of items with total weight <= 5?

Consider the following instance of the Integral Knapsack problem.
weight value
$12
item
1
2
1
$10
$20
4
2
$15
Capacity W = 5
By applying the dynamic programming approach we discussed in class, how many
distinct subproblems does this instance have? The original problem should also be
included.
What is the value of an optimal solution for this instance, that is, the total value of a
most valuable subset of items with total weight s 5?
Transcribed Image Text:Consider the following instance of the Integral Knapsack problem. weight value $12 item 1 2 1 $10 $20 4 2 $15 Capacity W = 5 By applying the dynamic programming approach we discussed in class, how many distinct subproblems does this instance have? The original problem should also be included. What is the value of an optimal solution for this instance, that is, the total value of a most valuable subset of items with total weight s 5?
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