Suppose that you are moving to a new apartment and you have only two boxes to pack your stuff in. The first box carries 22 kg and the second carries 28 kg. The weight and the value of your belongings are given in the table below: Item A. в D E F H Weight [kg] 10 Value ($] 9. 15 11 6. 3. 500 200 700 600 100 600 800 600 (a) You want to carry your items as many as possible by maximizing the total value of items in the boxes. Provide an integer optimization formulation for this problem. Explain how you set your decision variables, constraints, and objective function. (b) Implement this problem in Excel, and compute an optimal solution. Are there any items not included in the boxes? Why do you think these items should not be included?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Suppose that you are moving to a new apartment and you have only two boxes to pack your stuff
in. The first box carries 22 kg and the second carries 28 kg. The weight and the value of your
belongings are given in the table below:
Item
A
В
C
D
E
F
H
Weight [kg]
Value (S]
10
3.
500 200 700
15
11
4
600
100
600
800 600
(a) You want to carry your items as many as possible by maximizing the total value of items in
the boxes. Provide an integer optimization formulation for this problem. Explain how you set
your decision variables, constraints, and objective function.
(b) Implement this problem in Excel, and compute an optimal solution. Are there any items not
included in the boxes? Why do you think these items should not be included?
Transcribed Image Text:Suppose that you are moving to a new apartment and you have only two boxes to pack your stuff in. The first box carries 22 kg and the second carries 28 kg. The weight and the value of your belongings are given in the table below: Item A В C D E F H Weight [kg] Value (S] 10 3. 500 200 700 15 11 4 600 100 600 800 600 (a) You want to carry your items as many as possible by maximizing the total value of items in the boxes. Provide an integer optimization formulation for this problem. Explain how you set your decision variables, constraints, and objective function. (b) Implement this problem in Excel, and compute an optimal solution. Are there any items not included in the boxes? Why do you think these items should not be included?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman