# Math

posted by .

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

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
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 -

Those are the constraints you were given.

remember maximize carbs
carbs = 31.4 x1 + 114.74 x2 etc

• Math -

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!!!!!

• Math -

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."

• Math -

"want to make at most 10 cups of trail mix"
which means that the total weight is not yet known. So
x1+x2+x3+x4=10 does not apply.

x1>1,x2>1....
take the total weight as
W=x1+x2+x3+x4, so the new constraints should be:
x1≤(x1+x2+x3+x4)/10
or simplified to
9x1≤x2+x3+x4
and similarly,
9x2≤x1+x3+x4
9x3≤x1+x2+x4
9x4≤x2+x3+x3

The constraints are now:
855x1+435x2+1024x3+162x4 < 7000
9x1≤x2+x3+x4
9x2≤x1+x3+x4
9x3≤x1+x2+x4
9x4≤x2+x3+x3
x1+x2+x3+x4≤10

Would that work?

• Math - typo -

9x4≤x1+x3+x3

## Similar Questions

1. ### Math

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 of two types of foods. One serving of food A contains 30 units of protein, 10 units …
2. ### 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 …
3. ### 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 …
4. ### 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 …

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 …
6. ### math

how can i make the Protein content equal the same %. what did i do wrong?
7. ### Sic / 241

Can u please tell me if i figured this right?
8. ### 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?
9. ### 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 …
10. ### Health ( ANSWER ASAP)

1)Which nutrient can be found in both animals and plants and provides growth and repair of your bodys tissues A) Fiber B) Protein My theory is Protein C) Trans Fat D) Unsaturated fat 2)__ Is a type of complex carbohydrate that does …

More Similar Questions