Deadline Approaching: Please Help

SIMPLEX METHOD - Table:
Nutrient Peanuts Raisins M&Ms Pretzels
Calories 855 435 1024 162
Protein 34.57 4.67 9.01 3.87
Fat 72.50 0.67 43.95 1.49
Carbs 31.40 114.74 148.12 33.68

Suppose that you want to make at most 10 cups of trail mix, using all the ingredients. You want each of the ingredients to contribute at least 10% of the total volume of the mix made. You want the entire amount of trail mix to have fewer than 7000 calories and you want to maximize the amount of carbs in the mix.

1. Let x1 be the number of cups of peanuts, x2 cups of raisins, x3 cups of m&ms and x4 cups of pretzels. Let C be the amount of carbs in the mix. Find the objective function.
2. What contraints must be placed on the objective function.

I can solve the rest if you can help out with the constraints. I'm not sure how to write out the 10% of each ingredient to a proper constraint. Thanks!

Math - MathMate, Sunday, June 5, 2011 at 7:07am
You must already have:
x1+x2+x3+x4=10
and
855x1+435x2+1024x3+162x4 < 7000

The total volume is 10 cups, what is 10% of 10 cups?

Can you take it from here?

Math - Jay, Monday, June 6, 2011 at 6:15pm
MathMate,
Sorry.. still confused. I set up the constraints as x1>1, x2>1, x3>1, x4>1 but I'm not getting the answer. Are those contraints correct or is there another way to write it?



Math - Damon, Monday, June 6, 2011 at 6:50pm
Those are the constraints you were given.

You talk about an answer but have not defined objective yet.
remember maximize carbs
carbs = 31.4 x1 + 114.74 x2 etc

Math - Jay, Monday, June 6, 2011 at 7:40pm
I have the objective, I just need the constraints. If you can please list all of the constraints. The constraint that is stumping me is the one where I have to show 10% of the total. Thanks!!!!!


See Bottom, where most recent question was asked

Math - Jay, Monday, June 6, 2011 at 7:48pm
What is the proper constraint for this:
"You want each of the ingredients to contribute at least 10% of the total volume of the mix made."

  1. 👍 0
  2. 👎 1
  3. 👁 150
  1. The subject is Math ... if you want someone competent in math to help you, that is.

    1. 👍 0
    2. 👎 1
  2. Thanks....

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should

    asked by nora on July 15, 2020
  2. mathematics

    Represent the total number of calories in x peanuts and y potato chips if each peanut contains 6 calories and each potato chip contains 14 calories.

    asked by Tyler Collins on July 14, 2020
  3. simplex Method

    Solve the linear programming problem by the simplex method. Maximize P = 5x + 4y subject to 3x + 5y < 78 4x + y < 36 x > 0, y > 0 x = y = P =

    asked by Leah on April 24, 2011
  4. Math

    Solve the following l.p.p using simplex method Maximum z=10x+20y Subject to 3x+5y

    asked by Akansha on July 27, 2019
  1. Health

    the chemical process by which your body breaks down the nutrients in foods to release energy for the cells in your body describes. A.calories*** B.cholesterol C.metabolism D.nutrition ----is a type of complex carbohydrate that

    asked by Mahoganie on October 5, 2015
  2. Math ---HELP!!!!!

    A study of a brand of “in the shell peanuts” gives the following results: Number of peanut bags Probability 25 0.003 30 0.020 35 0.090 40 0.150 45 0.350 50 0.217 55 0.170 A significant event at the 0.01 level is a fan getting

    asked by angela on June 15, 2016
  3. General Chemistry

    A certain protein was found to have 0.855% zinc by mass. Determine the minimum molecular mass of the protein. How do I go about solving this?

    asked by Katie on September 19, 2010
  4. Health

    1)Which of the following food is high in protein? A. apple B. Carrot C. Chicken*** D. Pasta 2)Of the five food groups, which should be consumed in the smallest amount? A. Dairy**** B. Fruits C. Grains D. Protein 3)Which food would

    asked by Brody My BF on December 18, 2015
  1. Health

    According to MyPlate, which two food groups should you consume in the largest amounts? (1 point) fruits and grains grains and protein protein and vegetables vegetables and grains 2. Which food group is the only group that does not

    asked by Kailyn on January 4, 2017
  2. Algebra 2

    Given: 11-pound mixture of peanuts, almonds, and raisins Cost: peanuts - 1.5 per pound almonds - 3 per pound raisins - 1.5 per pound mixture: twice as many peanuts as almond; total cost of mixture is 21. a + p + r = 11 lbs a + 2a

    asked by Becky on October 20, 2016
  3. MATH

    A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of​ protein, 3 units of​ carbohydrates, and 2 unitss of​ fat, and will contain 20 calories. Each ounce of nuts will supply

    asked by Angel on October 19, 2016
  4. 20 question please check my answers

    1. A sickness resulting from eating food that is not safe to eat empty-calorie foods nutrition foodborne illness nutrient density 2. A nutrient that helps control the amount of fluid in your body sodium calorie protein nutrition

    asked by retired and broke on November 30, 2012

You can view more similar questions or ask a new question.