Deadline Approaching: Please Help
posted by Jay .
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."

Deadline Approaching: Please Help 
Writeacher
The subject is Math ... if you want someone competent in math to help you, that is.

Math Deadline Approaching: Please Help 
Jay
Thanks....
Respond to this Question
Similar Questions

PLEEEEEEASE HELP, EMERGENCY!!!!!
Here is a word problem dealing with The Simplex Method: Maximization, Minimization A dietitian is designing a daily diet that is to contain at least 60 units of protein, 40 units of carbs, and 120 units of fat. The diet is to consist … 
Math
Coould someone please let me know if I did this equation correctly. This question relates the topic of "Are you Sure It's Fat Free". To analyze the protein content I used 4 calories per gram of protein, rather than the 9 calories for … 
Math
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 … 
Math
MathMate  I'm still confused, please see below. Thanks!! 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 … 
math
how can i make the Protein content equal the same %. what did i do wrong? 
Algebra
Pepperidge Farm Goldfish is a snackfood for which 40% of its calories come from fat. Rold Gold Pretzels receive 9% of their calories from fat.How many grams of each would be needed to make 620g of a snack mix for which 15% of the calories … 
Sic / 241
Can u please tell me if i figured this right? 
college chemistry
to calulate the calories(kcal) in 1/2 cup of soft ice cream that contains 16g carbs, 17g fat, 5g protein. do I multiply 16g x 4 for carbs 17g x 9 for fat 5g x 4 for proteins? 
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 does … 
Health and PE
10. A daily value of 10% means that A. 10% of your calories should come from a particular nutrient B. A food consists of 10 of a particular nutrient C. A food package can bear the nutrient claim "light D. One serving provides 10% of …