# “woody’s furniture manufacturing” | Mathematics homework help

MATH 1324: Mathematics for Business & Social Sciences Signature Assignment.

“Woody’s Furniture Manufacturing”

Woody’s Furniture Manufacturing Company produces tables and chairs. A table requires 8 labor hours for assembling and 2 labor hours for finishing. A chair requires 2 labor hours for assembling and 1 labor hour for finishing. The maximum number of labor hours available per day are 400 hours for assembling and 120 hours for finishing.

1. Let                     represent the number of tables produced per day by Woody’s Furniture Manufacturing Company, and let    represent the number of chairs produced per day. Write a system of four linear inequalities involving    and   that, when solved, give the set of all ordered pairs    of number of tables and number of chairs that Woody’s company can produce per day, given the constraints above. Next to each inequality, write a brief description or interpretation of its meaning.

2. Carefully graph the system of linear inequalities on a separate sheet of graph paper and then shade the feasible region. Is the bounded or unbounded? Identity and label on the graph the coordinates of each of the points. Be sure to attach the graph when you submit your work.

3. For each of the following solutions, determine whether or not it is a feasible solution to the Woody’s Furniture Manufacturing Company problem. Show your work and explain your reasoning.

(a) 20 tables per day , 80 chairs per day

(b) 50 tables per day , 50 chairs per day

(c) 0 tables per day , 0 chairs per day

(d) -15 tables per day , -20 chairs per day

(e) 5 tables per day , 100 chairs per day

(f) 45 tables per day , 30 chairs per day

4.   Suppose that each table produced and sold yields a \$60 profit and each chair produced and sold yields a \$20 profit.

(a) An isoprofit line is a line of solution points    within the feasible region that each yields that same profit. Find two feasible solutions to the Woody’s Furniture Manufacturing Company problem that produce a total profit of \$900, and then find two feasible solutions that produce a total profit of \$2,100. Explain your answers, and then draw these two isoprofit lines on your graph- one for total profit of \$900, and the other for total profit of \$2,100.

(b) Finding an optimal solutions: How many tables and chairs should Woody’s company produce each day as to maximize its daily profit? What is Woody’s maximum daily profit? Explain your answers.

Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

## Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.