1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vagabundo [1.1K]
3 years ago
12

You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohyd

rates, at least 20 g of protein, and no more than 50 g of fat. An egg (one serving) contains 2 g of carbohydrates, 17 g of protein, and 14 g of fat. A serving of edamame contains 12 g of carbohydrates, 12 g of protein, and 6 g of fat. A serving of elbow macaroni contains 43 g of carbohydrates, 8 g of protein, and 1 g of fat. An egg costs $2, a serving of edamame costs $5, and a serving of elbow macaroni costs $3. Formulate a linear optimization model that could be used to determine the number of servings of egg, edamame, and elbow macaroni that should be in the meal in order to meet the nutrition requirements at minimal cost. (You don’t need to find the optimal solution to the model you formulate) ======== In your response please - define decision variables with NUN (Name, Unit, Notation) (e.g. Let E be the number of eggs in the meal) Then provide the mathematical model for the LP problem. - objective function - constraints
Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

Step-by-step explanation:

given:

Cost Eggs = $2

Cost of edema = $5

cost of  elbow Macaroni = $3

Lets eggs = x,

edamame = y

elbow macaroni = z

TC = 2x+5y+3z

Therefore;

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

the first objective is to make sure the total cost is subject to the required nutritional requirements.

So the total cost function (TC) is denoted by the number of servings multiplied for each costs. Eggs cost $2, edamame $5, and macaroni $3.

The problem subjects that each meal contains at least 40g of carbohydrates (this is the condition).

to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.

Same should be done for protein, we require at least 20 grams of protein,  Eggs add 17g, edamame adds 12g, and macaroni adds 8g.

and lastly we don't want more than 50 grams of fat,  Eggs add 14g, edamame add 6g and macaroni 1g.

You might be interested in
Write the quadratic equation, in vertex form for each graph.<br> number 9 and 10 please
Crazy boy [7]

Answer:

Anyone have all the answers?

Step-by-step explanation:

6 0
3 years ago
The line CD passes through the points C (2, -1) and D (1, 1). Which of the
inn [45]

Answer:

<em>The equation of the straight line in point - slope form</em>

<em>y +1 = -2 ( x-2)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given points are C( 2,-1) and D(1,1)

Slope of the line

     m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  } = \frac{1-(-1)}{1-2} = \frac{2}{-1} = -2

   m = -2

<u>Step(ii):-</u>

Equation of the straight line passing through the point ( 2,-1) and having slope

m =-2

y - y₁ = m ( x- x₁)

y - (-1) = -2 ( x-2)

y +1 = -2 ( x-2)

<u><em>Final answer:-</em></u>

<em>The equation of the straight line</em>

<em>y +1 = -2 ( x-2)</em>

3 0
3 years ago
Express.as decimal numerals nine and two hundred thirty five thousnadths
notka56 [123]

The answer is 9.235. Hope that helped

4 0
3 years ago
Pls help me pls (this needs to be 20 characters so ignore this part)
vagabundo [1.1K]

Step-by-step explanation:

...............................

7 0
3 years ago
(7 with a -8 exponent in parentheses with -4 exponent
lidiya [134]

Step-by-step explanation:

PradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyon

7 0
3 years ago
Other questions:
  • What is the mistake?<br><br> 3a+4b=7ab
    8·2 answers
  • O translațoe sete difinită de formulele x1 = x + 1 si y1 = y - 1 .
    14·1 answer
  • An event center charges a flat $65 fee
    5·1 answer
  • What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents
    13·1 answer
  • What equation does the model below represent?
    12·2 answers
  • HELLO GUYS I JUST WANT SAID SOMEONE ASK THIS QUESTIONS IF YOU COULD HELP HIM/HER WHIT THIS QUESTIONS??
    6·1 answer
  • A triangle has side lengths of 7, 24, and 25. Is the triangle right, acute, or obtuse?
    9·2 answers
  • Illustrate the distributive property to solve 144/8
    14·1 answer
  • The square root of a number is between 5 and 6. Which of the following could be the
    10·1 answer
  • If 4200 out of 5600 person's voted in an election the percentage which did not vote was​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!