There is a thief enters a house for robbing purpose. The thief can carry a maximal weight of 60 kg into his backpack. There are 5 items in the house with the following weights and values as shown in Table 1. Table 1: Item with Weight and Value Item Weight Value А 5 30 B 10 40 C 15 45 D 22 77 E 25 90 Using 0/1 Knapsack Problem dynamic programming approach, calculate what is the maximum value of items should the thief take and determine the selected item. Show the calculation process.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
Problem 10P
icon
Related questions
Question
There is a thief enters a house for robbing purpose. The thief can carry a maximal
weight of 60 kg into his backpack. There are 5 items in the house with the following
weights and values as shown in Table 1.
Table 1: Item with Weight and Value
Item
Weight
Value
A
30
B
10
40
C
15
45
D
22
77
E
25
90
Using 0/1 Knapsack Problem dynamic programming approach, calculate what is the
maximum value of items should the thief take and determine the selected item. Show
the calculation process.
Transcribed Image Text:There is a thief enters a house for robbing purpose. The thief can carry a maximal weight of 60 kg into his backpack. There are 5 items in the house with the following weights and values as shown in Table 1. Table 1: Item with Weight and Value Item Weight Value A 30 B 10 40 C 15 45 D 22 77 E 25 90 Using 0/1 Knapsack Problem dynamic programming approach, calculate what is the maximum value of items should the thief take and determine the selected item. Show the calculation process.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Knapsack Problem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
Computer Science
ISBN:
9780534380588
Author:
Wayne L. Winston
Publisher:
Brooks Cole