In a fractional knapsack problem The first line of the input takes n, the number of items. In the next n lines, for each item (from 1 to n), you take the weight and the corresponding benefit. In the last line you take the knapsack capacity W from the user. Output: In the output, you print out the items (in the increasing order) that has been selected, and for each item how much amount has been taken into consideration and what is the profit made from each item. The last line output the maximum profit that can be made. Sample Input 5 4 12 8 32 2 40 6 30 1 50 10 Sample Output: Item 2 Amount 1 Profit 4 Item 3 Amount 2 Profit 40 Item 4 Amount 6 Profit 30 Item 5 Amount 1 Profit 50 Total Profit: 124

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section: Chapter Questions
Problem 12RP
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In a fractional knapsack problem The first line of the input takes n, the number of items. In the next n lines, for each item (from 1 to n),
you take the weight and the corresponding benefit. In the last line you take the knapsack capacity W
from the user.
Output:
In the output, you print out the items (in the increasing order) that has been selected, and for each item
how much amount has been taken into consideration and what is the profit made from each item. The
last line output the maximum profit that can be made.
Sample Input
5
4 12
8 32
2 40
6 30
1 50
10
Sample Output:
Item 2 Amount 1 Profit 4
Item 3 Amount 2 Profit 40
Item 4 Amount 6 Profit 30
Item 5 Amount 1 Profit 50
Total Profit: 124

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