fbpx

Mat 540 week 6 homework(a+++++++++++++++++++grade)latest data

Don't use plagiarized sources. Get Your Assignment on
Mat 540 week 6 homework(a+++++++++++++++++++grade)latest data
Just from $13/Page
Order Now

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.

 

4. Solve the following linear programming model graphically:

Minimize Z=8X1 + 6X2

Subject to

4X1 + 2X2 >= 20

-6X1 + 4X2 <= 12

X1 + X2>=6

X1 , X2>=0

Recent Blog Posts

No recent articles to show.

Other Blog Posts

What are the key elements of an essay

You may clearly understand what an essay is and have had the experience of writing a number. However, it is […]

Feb 25th, 2022

How to write a research paper fast

The day inevitably comes; you need to submit your assignment. You have been procrastinating on writing your paper until the […]

Feb 24th, 2022

220+ best humanities research paper topics

Choosing a paper topic can be a daunting task for any assignment. A student may face agony trying to come […]

Feb 24th, 2022

How to write a media analysis essay

The media is an integral part of modern society. Think of what would happen to the world if there were […]

Feb 23rd, 2022

Great tricks on how to write a hypothesis in 2022

A hypothesis is a statement that can be proven by scientific research. It proves the theory of action and reaction, […]

Feb 22nd, 2022

How to get better at math

Math is not difficult. However, it is complex and tough compared to other subjects and requires a little bit more […]

Feb 22nd, 2022