# Suppose that a firm has N large rolls of paper, each W inches wide. It is necessary to cut Ni…

Suppose that a firm has N large rolls of paper, each W inches wide. It is necessary to cut Ni rolls of width Wi from these rolls of paper. We can formulate this problem by defining variables

xij = Number of smaller rolls of width Wi cut from large roll j.

We assume there are m different widths Wi . In order to cut all the required rolls of width Wi , we need constraints of the form:

Further, the number of smaller rolls cut from a large roll is limited by the width W of the large roll. Assuming no loss due to cutting, we have constraints of the form:

a) Formulate an objective function to minimize the number of large rolls of width W used to produce the smaller rolls.

b) Reformulate the model to minimize the total trim loss resulting from cutting. Trim loss is defined to be that part of a large roll that is unusable due to being smaller than any size needed.

c) Comment on the difficulty of solving each formulation by a branch-and-bound method.

d) Reformulate the problem in terms of the collection of possible patterns that can be cut from a given large roll. (Hint. See Exercise 25 in Chapter 1.)

e) Comment on the difficulty of solving the formulation in (d), as opposed to the formulations in (a) or (b), by a branch-and-bound method.

Calculate the price
Pages (550 words)
\$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with Online Academic Experts
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
Testimonials
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Humanities
Thank youuuu
Customer 452729, May 30th, 2021
Emergency Management
Overall, I think it's a great service. I have yet to submit the assignment, so I don't know what kind of grade I'll get. But customer service was excellent. Reviews were made and the assignment proofed for satisfaction.
Customer 453015, December 15th, 2021
First of all, the writer made sure that he completely understood my assignment and all the guidelines before he began writing. My paper was finished very fast and well before the specified deadline. I thought it was written excellently. He definitely completely grasped the topic. Overall, he is a great writer and I couldn't have asked for better.
Customer 452441, November 29th, 2021
Amazing!
Customer 452985, November 11th, 2021
Nursing
Thank you so much for your help! :)
Customer 453167, May 11th, 2022
English 101
great summery in terms of the time given. it lacks a bit of clarity but otherwise perfect.
Customer 452747, June 9th, 2021
Management
Love this writer!!! Great work
Customer 452597, April 5th, 2021
English 101
IThank you
Customer 452631, April 6th, 2021
Nursing
thank you so much
Customer 452749, June 10th, 2021
Thank you very much for a good job done and a quick turn around time.
Customer 452615, March 31st, 2021
Psychology
Thank you!
Customer 452545, February 6th, 2021
Nursing
The writer was timely and proficient. I had to ask for a revision, but I got it back quickly with no other issues. Would use this essay writing service again
Customer 452441, November 14th, 2021
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend