1. a cereal company makes a cereal from several ingredients. two of

a cereal company makes a cereal from several ingredients. two of

 

Chapter 2

 

1.           A Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 45 milligrams of vitamin A and 13 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 10 milligrams of vitamin A and 2 milligram of vitamin B, whereas an ounce of rice contributes 6 milligrams of A and 3 milligrams of B. An ounce of oats costs $0.06, and an ounce of rice costs $0.03.

 

a.      Formulate a linear programming model for this problem.

 

b.      Solve the model by using graphical analysis.

 

2.           A Furniture Company produces chairs and tables from two resources- labor and wood. The company has 125 hours of labor and 45 board-ft. of wood available each day. Demand for chairs is limited to 5 per day. Each chair requires 7 hours of labor and 3.5 board-ft. of wood, whereas a table requires 14 hours of labor and 7 board-ft. of wood. The profit derived from each chair is $325 and from each table, $120. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Formulate a linear programming model for this problem.

 

a.      Formulate a linear programming model for this problem.

 

b.      Solve the model by using graphical analysis. (Do not round the answers)

 

c.      How much labor and wood will be unused if the optimal numbers of chairs and tables are produced?

 

3.           Kroeger supermarket sells its own brand of canned peas as well as several national brands. The store makes a profit of $0.28 per can for its own peas and a profit of $0.19 for any of the national brands. The store has 6 square feet of shelf space available for canned peas, and each can of peas takes up 9 square inches of that space. Point-of-sale records show that each week the store never sales more than half as many cans of its own brand as it does of the national brands. The store wants to know how many cans of its own brand of peas of peas and how many cans of the national brands to stock each week on the allocated shelf space in order to maximize profit.

 

a.      Formulate a linear programming model for this problem.

 

b.      Solve the model by using graphical analysis.

Calculate the price of your order

Select your paper details and see how much our professional writing services will cost.

We`ll send you the first draft for approval by at
Price: $36
  • Freebies
  • Format
  • Formatting (MLA, APA, Chicago, custom, etc.)
  • Title page & bibliography
  • 24/7 customer support
  • Amendments to your paper when they are needed
  • Chat with your writer
  • 275 word/double-spaced page
  • 12 point Arial/Times New Roman
  • Double, single, and custom spacing
  • We care about originality

    Our custom human-written papers from top essay writers are always free from plagiarism.

  • We protect your privacy

    Your data and payment info stay secured every time you get our help from an essay writer.

  • You control your money

    Your money is safe with us. If your plans change, you can get it sent back to your card.

How it works

  1. 1
    You give us the details
    Complete a brief order form to tell us what kind of paper you need.
  2. 2
    We find you a top writer
    One of the best experts in your discipline starts working on your essay.
  3. 3
    You get the paper done
    Enjoy writing that meets your demands and high academic standards!

Samples from our advanced writers

Check out some essay pieces from our best essay writers before your place an order. They will help you better understand what our service can do for you.

Get your own paper from top experts

Order now

Perks of our essay writing service

We offer more than just hand-crafted papers customized for you. Here are more of our greatest perks.

  • Swift delivery
    Our writing service can deliver your short and urgent papers in just 4 hours!
  • Professional touch
    We find you a pro writer who knows all the ins and outs of your subject.
  • Easy order placing/tracking
    Create a new order and check on its progress at any time in your dashboard.
  • Help with any kind of paper
    Need a PhD thesis, research project, or a two-page essay? For you, we can do it all.
  • Experts in 80+ subjects
    Our pro writers can help you with anything, from nursing to business studies.
  • Calculations and code
    We also do math, write code, and solve problems in 30+ STEM disciplines.

Frequently asked questions

Get instant answers to the questions that students ask most often.

See full FAQ
    See full FAQ

    Take your studies to the next level with our experienced specialists

    Chat
    Hello, my name is Derreck. Kindly drop your inquiry; I will get back to you shortly. (WhatsApp)+254 729 707 173