# Fomulate Linear Programming Model and Solve using Computer

For the following problem, solve the linear programming model by using the computer. You must use QM for Windows to solve this problem. Please include the original problem plus results screen in the Word document you create. Follow the format of the examples that were posted in the Doc Sharing tab. Include the model formulation or a window showing the constraints. Save the resulting file as a Word file. Show all work.

1. The Pyrotec Company produces three electrical products- clocks, radios, and toasters. The products have the following resource requirements:

Cost/Unit Labor Hours/Unit
Clock \$7 2
Toaster 5 2

The manufacturer has a daily production budget of \$2,000 and a maximum of 660 hours of labor. Maximum daily customer demand is fo r200 clocks, 300 radios, and 150 toasters. Clocks sell for \$15, radios for \$20, and toasters for \$12. The company wants to know the optimal product mix that will maximize profit.

a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.

2. The Hickory Cabinet and Furniture Company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture- wood, upholstery, and labor. The resource requirements for each piece of furniture and the toal resources available weekly are as follows:

Wood(lb.) Upholstery(yd.) Labor(hr.)
Sofa 7 12 6
Table 5 – 9
Chair 4 7 5
Total available resources 2,250 1,000 240

The furniture is produced on a weekly basis and stored in a warehouse until the end of the week, when it is shipped out. The warehouse has a total capacity o f650 pieces of furniture. Each sofa earns \$400 in profit, each table, \$275, and each chair, \$190. The company wants to know how many pieces of each type of furniture to make per week to maximize profit.

a. Formulate a linear programming model for this problem
b. Solve the model by using the computer

3. Green Valley Mills produces carpet at plants i St.Louis and Richmond. The plants ship the carpet to two outlets in Chicago and Atlanta. The cost per ton of shipping carpet from each of the two plants to the two warehouses is as follows:

To
From Chicago Atlanta
ST. Louis \$40 \$65
Richmond 70 30

The plant at St.Louis can supply 250 tons of carpet per week, and the plant at Richmond can supply 400 tons per week. The Chicago outlet has a demand of 300 tons per week; the outlet at Atlanta demands 350 tons per week. Company managers want to determine the number of tons os carpet to ship from each plant to each outlet in order to minimize the total shippiing cost.

a. Formulate a linear programming model for this problem
b. Solve the model by using the computer.

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 AssignmentHelpWeb
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.
Excellent service - thank you!
Customer 452469, February 20th, 2023
Theology
Job well done and completed in a timely fashioned!
Customer 452451, November 18th, 2022
Nursing
The paper was EXCELLENT. Thank you
Customer 452449, September 23rd, 2022
Anthropology
excellent loved the services
Customer 452443, September 23rd, 2022
Job well done. Finish paper faster than expected. Thank you!
Customer 452451, October 3rd, 2022
Architecture, Building and Planning
The assignment was well written and the paper was delivered on time. I really enjoyed your services.
Customer 452441, September 23rd, 2022
English 101
Very good job. I actually got an A
Customer 452443, September 25th, 2022
Psychology
Thanks a lot the paper was excellent
Customer 452453, October 26th, 2022
Anthropology
Excellent services will definitely come back
Customer 452441, September 23rd, 2022
Excellent timely work
Customer 452451, April 19th, 2023
Thank you!
Customer 452451, November 27th, 2022
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend