Question

Find the optimal solution to the fractional Knapsack problem using Greedy technique: 
 Number of objects n: 6
Maximum Weight M = 25
Value of each item:
(

07 Aug 2023
Answer :
Word Count : 1019

To find the optimal solution to the fractional Knapsack problem using a Greedy technique, we need to consider the value-to-weight ratio of each item and select items greedily based on this ratio. The goal is to maximize the total value while not exceeding the maximum weight capacity of the knapsack.

Let's consider the given problem:

Number of objects n: 6
Maximum Weight M = 25
Value of each item and its weight:

Item 1: Value = 10, Weight = 5
Item 2: Value = 5, Weight = 3
Item 3: Value = 15, Weight = 10
Item 4: Value = 7, Weight = 7
Item 5: Value = 6, Weight = 4
Item 6: Value = 18, Weight = 12

To solve the fractional Knapsack problem using a Greedy technique, we will follow these steps:

  1. Calculate the value-to-weight ratio for each item:
    Item 1: Ratio = Value/Weight = 10/5 = 2
    Item 2: Ratio = Value/Weight = 5/3 _______ _____ _________ _________ ______ _________.
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