Problem 2. Consider the following instance of the fractional knapsack problem: Benefit Weight Item 1 Item 2 Item 3 Item 4 Item 5 Item 6 Item 7 Item 8 5 8 1 12 3 7 2 4 2437HG56 Your task is to: a) Compute the set of items, along with the fraction in which they are used, with maximum total benefit of weight at most W = 13 and also give the total benefit of this set. b) List the order in which the items are considered by the greedy algorithm from the lecture that returns the optimal solution. (You do not have to explain your answer.)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Problem 2. Consider the following instance of the fractional knapsack problem:
Benefit Weight
2
Item 1
Item 2
Item 3
Item 4
Item 5
Item 6
Item 7
Item 8
1
12
372 +
4
437L656
1
Your task is to:
a) Compute the set of items, along with the fraction in which they are used, with
maximum total benefit of weight at most W = 13 and also give the total benefit
of this set.
b) List the order in which the items are considered by the greedy algorithm from
the lecture that returns the optimal solution.
(You do not have to explain your answer.)
Transcribed Image Text:Problem 2. Consider the following instance of the fractional knapsack problem: Benefit Weight 2 Item 1 Item 2 Item 3 Item 4 Item 5 Item 6 Item 7 Item 8 1 12 372 + 4 437L656 1 Your task is to: a) Compute the set of items, along with the fraction in which they are used, with maximum total benefit of weight at most W = 13 and also give the total benefit of this set. b) List the order in which the items are considered by the greedy algorithm from the lecture that returns the optimal solution. (You do not have to explain your answer.)
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