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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
a. Apply the bottom-up dynamic programming algorithm to the following instance of the knapsack problem:
Â
|
item |
weight |
value |
|
1 |
3 |
$25 |
|
2 |
2 |
$20 |
|
3 |
1 |
$15 |
|
4 |
4 |
$40 |
|
5 |
5 |
$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 programming algorithm to tell whether there is more than one optimal subset for the knapsack problem’s instance?
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