Fractional Knapsack Problem Example Solution — Greedy Algorithm for Maximum Profit

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Lecture Link

In this lecture, we apply the Fractional Knapsack Algorithm to a real-world scenario — a store owner trying to display the most profitable fruits on a limited-weight table. 🏪🍎 You’ll learn how the greedy method works, why it’s optimal for divisible items, and how to calculate the maximum total value using value per kilogram. We’ll go through the full reasoning: 1-Defining the problem and scenario 2-Computing value densities for each fruit 3-Filling the 30 kg capacity step by step 4-Showing exactly how much of each fruit to take 5-Calculating the final maximum profit = $222 This example will help you understand how greedy algorithms make optimal decisions for fractional knapsack problems and how to reason through each step manually.

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