please solve step py step no code . Find an optimal solution to the fractional knapsack problem for an instance with number of items 5, Capacity of the sack W=15, profit associated with the items (p1,p2,…,p5)= (15,7,6,18,3) and weight associated with each item (w1,w2,…,w7)= (2,3,5,7,4, ).
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please solve step py step no code
. Find an optimal solution to the fractional knapsack problem for an instance
with number of items 5, Capacity of the sack W=15, profit associated with
the items (p1,p2,…,p5)= (15,7,6,18,3) and weight associated with each item
(w1,w2,…,w7)= (2,3,5,7,4, ).
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- a. Given n items, where each item has a weight and a value, and a knapsack that can carry at most W You are expected to fill in the knapsack with a subset of items in order to maximize the total value without exceeding the weight limit. For instance, if n = 6 and items = {(A, 10, 40), (B, 50, 30), (C, 40, 80), (D, 20, 60), (E, 40, 10), (F, 10, 60)} where each entry is represented as (itemIdi, weighti, valuei). Use greedy algorithm to solve the fractional knapsack problem. b. Given an array of n numbers, write a java or python program to find the k largest numbers using a comparison-based algorithm. We are not interested in the relative order of the k numbers and assuming that (i) k is a small constant (e.g., k = 5) independent of n, and (ii) k is a constant fraction of n (e.g., k = n/4). Provide the Big-Oh characterization of your algorithm.Find an optimal solution to the fractional knapsack problem for an Instance with number of items i.e n= 3, Capacity of the sack M=20, profit associated with the items (p1,p2,p3)= (25,24,15) and weight associated with each item (w1,w2,w3)= (18,15,10).A given Knapsack with maximal Weight capacity is 8Kg. There are some items can be chosen and taken into Knapsack. Each item has own weight and profit shown as follows. Please find the maximal profit of Knapsack after some items are selected and put into this Knapsack and its maximal Weight capacity isn't exceeded. item ID Weight 4Kg 5Kg 2Kg 1kg 6Kg A B с D E Profit 4500 5700 2250 1100 8700 The maximal profit of this Knapsack to taken some items and total weight is no exceeded the weight capacity : The last item is taken and put into this Knapsack is: The second item is taken and put into this Knapsack is : The first item is taken and put into this Knapsack is:
- A given Knapsack with maximal Weight capacity is 8Kg. There are some items can be chosen and taken into Knapsack. Each item has own weight and profit shown as follows. Please find the maximal profit of Knapsack after some items are selected and put into this Knapsack and its maximal Weight capacity isn't exceeded. item ID Weight 4Kg 5Kg 2Kg 1kg 6Kg A B C D E Profit 4500 5700 2250 1100 6700 The maximal profit of this Knapsack to taken some items and total weight is no exceeded the weight capacity : The last item is taken and put into this Knapsack is : The second item is taken and put into this Knapsack is : The first item is taken and put into this Knapsack is:First, build a DP table for the 0-1 Knapsack problem with knapsack capacity W = 8, and a list of items A = { (2,5), (4, 10), (5, 9), (4, 7), (3, 12) } of (weight, value) pairs. 0 12 34 56 7 8 Wt. Val 5 005 4 10 9 4 7 3 12 Then enter the optimal solution of items for the knapsack with W = 8. For example, enter (2, 5), (4, 7) if those two items are selected What's the total value for fractional knapsack problem with W = 8? For example, enter 12.5 if the total value of selected items is 12.5 2.. Find an optimal solution to the fractional knapsack problem for an instancewith number of items 5, Capacity of the sack W=15, profit associated withthe items (p1,p2,…,p5)= (15,7,6,18,3) and weight associated with each item(w1,w2,…,w7)= (2,3,5,7,4, ).
- Consider the following version of Knapsack. Given are two weight limits W1 and W2, whereW1 ≤ W2. Given are also n items (w1, c1),(w2, c2), . . . ,(wn, cn), where wiis the weight and cithe cost of the i-th item. We want to find a subset of these items of the highest cost, wherethe subset weights at least W1 and at most W2. Give an O(nW2) algorithm for this problem.(Recall that the cost (respectively weight) of a subset is the sum of the costs (respectivelyweights) of the items in the subset.)Build a solution for the 0-1 Knapsack problem using backtracking algorithm. We have 5 items with price and weight: 1. $50 20 2. $30 5 3. $40 10 4. $10 5 5. $20 4 Limitation on the weight is: W = 21 Find the bound for the root node, find a solution node using backtracking algorithm.Find the optimal combination of items to maximize the profit from the scenario given below. Where no multiple copies of items are available and item fracturing is not allowed. Object A в D E F G Weight 9 4 7 2 8 10 2 Profit 13 12 21 10 16 15 20 Knapsack size = 21
- Let S = {a, b, c, d, e, f, g} be a collection of objects with benefit-weight values, a: (12, 4), b: (10, 6), c: (8, 5), d: (11, 7), e: (14, 3), f : (7, 1), g: (9, 6). What is an optimal solution to the fractional knapsack problem for S assuming we have a sack that can hold objects with total weight 18? Show your work.Assume there are n courses offered by the university, where each course has one or no prerequisites.If course j is the prerequisite for course i, then we are only allowed to take course i after course j. And after taking each course i, we can get a reward r_i. Given the reward and prerequisite for each course, design analgorithm to find the maximum total reward we can get by taking m courses. The time complexity shouldbe O(nm^2). Please only answer if you have the algorithmAssume there are n courses offered by the university, where each course has one or no prerequisites.If course j is the prerequisite for course i, then we are only allowed to take course i after course j. And after taking each course i, we can get a reward r_i. Given the reward and prerequisite for each course, design analgorithm to find the maximum total reward we can get by taking m courses. The time complexity shouldbe O(nm^2).