# Mat 540 week 7 homework chapter 3

MAT 540 Week 7 Homework Chapter 3

Don't use plagiarized sources. Get Your Custom Essay on
Mat 540 week 7 homework chapter 3
Just from \$13/Page

8.      Solve the model formulated in Problem 7 for Southern Sporting Goods Company using the computer.

a.   State the optimal solution.

b.   What would be the effect on the optimal solution if the profit for a basketball changed from \$12 to \$13?  What would be the effect if the profit for a football changed from \$16 to \$15?

c.    What would be the effect on the optimal solution if 500 additional pounds of rubber could be obtained?  What would be the effect if 500 additional square feet of leather could be obtained?

Reference Problem 7.  Southern Sporting Good Company makes basketballs and footballs.  Each product is produced from two resources rubber and leather.  The resource requirements for each product and the total resources available are as follows:

10.  A company produces two products, A and B, which have profits of \$9 and \$7, respectively.  Each unit of product must be processed on two assembly lines, where the required production times are as follows:

a. Formulate a linear programming model to determine the optimal product mix that will maximize profit.

b.  Transform this model into standard form.

11.  Solve problem 10 using the computer.

a.    State the optimal solution.

b.   What would be the effect on the optimal solution if the production time on line 1 was reduced to 40 hours?

c.    What would be the effect on the optimal solution if the profit for product B was increased from \$7 to \$15 to \$20?

12.  For the linear programming model formulated in Problem 10 and solved in Problem 11.

a.  What are the sensitivity ranges for the objective function coefficients?

b.  Determine the shadow prices for additional hours of production time on line 1 and line 2 and indicate whether the company would prefer additional line 1 or line 2 hours.

14.  Solve the model formulated in Problem 13 for Irwin Textile Mills.

a.   How much extra cotton and processing time are left over at the optimal solution?  Is the demand for corduroy met?

b.  What is the effect on the optimal solution if the profit per yard of denim is increased from \$2.25 to \$3.00?  What is the effect if the profit per yard of corduroy is increased from \$3.10 to \$4.00?

c.   What would be the effect on the optimal solution if Irwin Mils could obtain only 6,000 pounds of cotton per month?

Reference Problem 13.  Irwin Textile Mills produces two types of cotton cloth – denim and corduroy.  Corduroy is a heavier grade of cotton cloth and, as such, requires 7.5 pounds of raw cotton per yard, whereas denim requires 5 pounds of raw cotton per yard.  A yard of corduroy requires 3.2 hours of processing time; a yard of denim requires 3.0 hours.  Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 yards per month.  The manufacturer has 6,500 pounds of cotton and 3,000 hours of processing time available each month.  The manufacturer makes a profit of \$2.25 per yard of denim and \$3.10 per yard of corduroy.  The manufacturer wants to know how many yards of each type of cloth to produce to maximize profit.  Formulate the model and put it into standard form.  Solve it.

15.  Continuing the model from Problem 14.

a.       If Irwin Mills can obtain additional cotton or processing time, but not both, which should it select?  How much?  Explain your answer.

b.      Identify the sensitivity ranges for the objective function coefficients and for the constraint quantity values.  Then explain the sensitivity range for the demand for corduroy.

16.  United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills.  Each mill has a different production capacity (in tons per day) for each grade as follows:

The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, and 5 tons of low-grade aluminum.  It costs United \$6,000 per day to operate mill 1 and \$7,000 per day to operate mill 2.  The company wants to know the number of days to operate each mill in order to meet the contract at minimum cost.

a.       Formulate a linear programming model for this problem.

18.  Solve the linear programming model formulated in Problem 16 for Unite Aluminum Company by using the computer.

a.   Identify and explain the shadow prices for each of the aluminum grade contract requirements.

b.  Identify the sensitivity ranges for the objective function coefficients and the constraint quantity values.

c.   Would the solution values change if the contract requirements for high-grade alumimum were increased from 12 tons to 20 tons?  If yes, what would the new solution values be?

24.  Solve the linear programming model developed in Problem 22 for the Burger Doodle restaurant by using the computer.

a.  Identify and explain the shadow prices for each of the resource constraints

b. Which of the resources constrains profit the most?

c.  Identify the sensitivity ranges for the profit of a sausage biscuit and the amount of sausage available.  Explain these sensitivity ranges.

Reference Problem 22.  The manager of a Burger Doodle franchise wants to determine how many sausage biscuits and ham biscuits to prepare each morning for breakfast customers.  The two types of biscuits require the following resources:

 Biscuit Labor (hr.) Sausage (lb.) Ham (lb.) Flour (lb.) Sausage 0.010 0.10 — 0.04 Ham 0.024 — 0.15 0.04

The franchise has 6 hours of labor available each morning.  The manager has a contract with a local grocer for 30 pounds of sausage and 30 pounds of ham each morning.  The manager also purchases 16 pounds of flour.  The profit for a sausage biscuit is \$0.60; the profit for a ham biscuit is \$0.50.  The manager wants to know the number of each type of biscuit to prepare each morning in order to maximize profit.  Formulate a linear programming model for this problem.

Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our Guarantees

At 111papers.com, we value all our customers, and for that, always strive to ensure that we deliver the best top-quality content that we can. All the processes, from writing, formatting, editing, and submission is 100% original and detail-oriented. With us, you are, therefore, always guaranteed quality work by certified and experienced writing professionals. We take pride in the university homework help services that we provide our customers.

### Money-Back Guarantee

As the best homework help service in the world, 111 Papers ensures that all customers are completely satisfied with the finished product before disbursing payment. You are not obligated to pay for the final product if you aren’t 100% satisfied with the paper. We also provide a money-back guarantee if you don’t feel that your paper was written to your satisfaction. This guarantee is totally transparent and follows all the terms and conditions set by the company.

### Zero-Plagiarism Guarantee

All products that we deliver are guaranteed to be 100% original. We check for unoriginality on all orders delivered by our writers using the most advanced anti-plagiarism programs in the market. We, therefore, guarantee that all products that we submit to you are 100% original. We have a zero-tolerance policy for copied content. Thanks to our strict no plagiarized work rule, you can submit your homework to your professor without worrying.

### Free-Revision Policy

TThis is one of the most cherished courtesy services that we provide to help ensure that our customers are completely satisfied with our finished products. Delivering the best final product to our customers takes multiple inputs. 111papers.com prides itself on delivering the best university homework help services in the writing industry. And, in part, our free revision policy is how we do it. What’s more, all our revisions are 100% free without any strings attached.

Client privacy is important to use. We know and understand just how important customers value their privacy and always want to safeguard their personal information. Thus, all the information that you share with us will always remain in safe custody. We will never disclose your personal information to any third party or sell your details to anyone. 111 Papers uses the most sophisticated, top-of-the-line security programs to ensure that our customers’ information is safe and secured.

### Fair-Cooperation Guarantee

Placing your order with us means that you agree with the homework help service we provide. We, in turn, will endear to ensure that we do everything we can to deliver the most comprehensive finished product as per your requirements. We will also count on your cooperation to help us deliver on this mandate. Yes, we also need you to ensure that you have the highest-quality paper.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors: