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

Answers

Answer 1

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.


Related Questions

I know the answer but can someone explain how it's correct, it is D.

Answers

Answer:

1/3x9= 3

3+2=5

Step-by-step explanation:

Substituting 9 for x

Subtract 2 from 2 and 5 to get 1/3x= 3 then you have to multiply 1/3 times 3 and 3 times 3 to get x=9

A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?

Answers

Answer:

Step-by-step explanation:

It will take 3hr and 36 min to travel 180 miles

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[tex]s = \frac{distance \: traveled}{time \: of \: the \: distance \: traveled} \\ [/tex]

[tex]48 = \frac{180}{t} \\ [/tex]

Multiply sides by t

[tex]48 \times t = \frac{180}{t} \times t \\ [/tex]

[tex]48t = 180[/tex]

Divided sides by 48

[tex] \frac{48}{48} t = \frac{180}{48} \\ [/tex]

[tex]t = \frac{4 \times 9 \times 5}{4 \times 3 \times 4} \\ [/tex]

[tex]t = \frac{3 \times 5}{4} \\ [/tex]

[tex]t = \frac{15}{4} \\ [/tex]

[tex]t = \frac{16 - 1}{4} \\ [/tex]

[tex]t = \frac{16}{4} - \frac{1}{4} \\ [/tex]

[tex]t = 4 - 0.25[/tex]

[tex]t = 3.75 \: \: \: \: hours[/tex]

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In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people.
One hundred years later, the yearly attendance was 1.7 × 106 fans.
How many times greater was the attendance in 2002 than in 1902? Enter your answer in the box.

Answers

Answer:

The number of attendance is 5 times greater than in 1902.

Step-by-step explanation:

Since we have given that

Number of attendance at a major league baseball park in 1902 =

Number of attendance at a major league baseball park in 2002 =

We need to find the number of times that the attendance in 2002 is greater than in 1902.

So, number of times becomes,

Hence, the number of attendance is 5 times greater than in 1902.

The points D, E, F and G all lie on the same line segment, in that order, such that the ratio of DE:EF:FGDE:EF:FG is equal to 6:5:1.6:5:1. If DG=36,DG=36, find DF.DF.

Answers

Answer:

i

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

F(x)=2x+2 solve the inverse when x=4

Answers

The answer is f= 5/2

A solid right pyramid has a square base. The base
edge length is 2 cm longer than the height of the
pyramid.
If the height is 6 cm, what is the volume of the
pyramid?
20 m3

Answers

Answer:

128 cm^3

Step-by-step explanation:

Sally is making lemonade. The ratio of cups of water to teaspoons of lemonade mix is 2 to 5. If Sally wants to make a larger batch, how many cups of water does she need is she used 25 teaspoons of lemonade mix?

Answers

Answer:56

Step-by-step explanation: jggjoohjmnj

What is the slope of the line that passes through the points (-9, 2) and (1, 27)?

Answers

Answer:

The answer is

[tex] \huge \frac{5}{2} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question the points are

(-9, 2) and (1, 27)

We have

[tex]m = \frac{27 - 2}{1 - - 9} = \frac{25}{1 + 9} = \frac{25}{10} = \frac{5}{2} \\ [/tex]

We have the final answer as

[tex] \frac{5}{2} \\ [/tex]

Hope this helps you

List all the factor pairs for the
number 48.
List all the factor pairs for the
number 23.
List all the factor pairs for the
number 12.
List the first 5 multiples for the
number 12.
List the first 5 multiples for the
number 8.
DON'T FORGET TO USE THE
MULTIPLE MONSTER.
(repeated addition or Math
Facts)
List the first 5 multiples for the
number 9.
List the first 5 multiples for the
number 4.
List the first 5 multiples for the
number 7.

Answers

Answer:

1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8  

Sorry I can do more if needed

Step-by-step explanation:

Round four hundred seventy-six thousand three hundred twenty-one and fifty thousand eight hundred nine hundred-thousandths to the nearest dollar.

Answers

Answer:

476,321.50

476,322

Step-by-step explanation:

Aquarium I contains 4.6 gallons of water. Louise will begin filling Aquarium I at a rate of
1.2 gallons per minute,
Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of
0.8 gallon per minute.
After how many minutes will both aquariums contain the same amount of water?

Answers

Answer:

The Answer is B

Step-by-step explanation:

5X+17=7 PLEASE HELP FAST

WITH STEP FAST

Answers

Answer:

x=-2

Step-by-step explanation:

5x+17=7

5x=-10

x=-2

Answer:

you are looking for x right?

Step-by-step explanation:

5x+17=7

5x=-10

x=-2

x=-2 is the answer

Help...............................

Answers

The answer is 25 grams.

True or False? Complementary Angle’s are two angles that add up to 90 degrees

Answers

Answer:

True

Step-by-step explanation:

Definition of Complementary Angle’s

Jose filled up his car with gas before embarking on a road trip across the country. The
capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4
gallons of gas left in the tank. Write an equation for G, in terms oft, representing the
number of gallons of gas remaining in Jose's gas tank after t hours of driving.

Answers

Answer:

g=-2t+12

Step-by-step explanation:

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Jose filled up his car with gas before embarking on a road trip across the country. The capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4 gallons of gas left in the tank.

The slope of the equation will be

⇒ (12 - 4) / 4

⇒ 8 / 4

⇒ 2 gallons per hour

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be

G = 12 - 2t

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

How do you do this question?

Answers

Step-by-step explanation:

ln(n) is smaller than n for all n ≥ 1.

Therefore, ln(n) / n⁴ is smaller than n / n⁴ = 1 / n³.

1 / n³ converges (p series test).  Therefore, the smaller function ln(n) / n⁴ also converges.

There are 454 grams in a pound. Convert 330 grams to ounces.

Answers

U have to Substract the numbers and then there your answer

11.6 ounces

330g x 1lb/454g x 16oz/1lb = 11.6 ounces

If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer.  (citing my source usa test prep but i worked it out.)

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11? Plus-or-minus one-eleventh, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus5 Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11 Plus-or-minus one-eleventh, plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11 0, Plus-or-minus one-eleventh, Plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11

Answers

Answer:

Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11

Step-by-step explanation:

According to the Rational Root Theorem, the potential roots of f(x) = 5x² – 7x + 11 are; Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11.

Rational Root Theorem:

The given function is; f(x) = 5x² – 7x + 11

On this note; Using the rational Root Theorem while determining the root; we have;

f(x) = 0 = x² -7/5x + 11/5.

The possible roots are therefore the factors of the constant, 11/5 and are as follows;

±11/5±1±11±1/5.

Read more on Rational Root Theorem;

https://brainly.com/question/4251786

The function f(x) = 2x – 3 is graphed below.
What is the y-intercept?

Answers

Answer:

ill give u the answer if u do 73 divided by 2628

Step-by-step explanation:

I need help ASAP !
Please fast ! What mathematical term do we use for the first part of proof ?

Answers

Answer:

A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion.The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference.

Its got to be in there.

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?

Answers

Answer:

The number of basket of strawberries are 8 and number of basket of peaches are 15.

Step-by-step explanation:

As given

x =  represents baskets of strawberries .

y =  represents baskets of peaches .

As given

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18.

On Saturday, $430 worth of strawberries and peaches were sold, and a total of 23 baskets were sold.

Than the equations becomes

x + y  = 23

20x + 18y = 430

Multiply  x + y  = 23 by 20 and subtracted from 20x + 18y = 430.

20x - 20x + 18y - 20y = 430 - 460

-2y = -30

2y = 30

y = 15

Put y = 15 in the equation  x + y  = 23

x + 15 = 23

x = 23 - 15

x = 8

Therefore the number of basket of strawberries are 8 and number of basket of peaches are 15.

Answer:

D  15 baskets of peaches

Step-by-step explanation:

took the test

How much is 28 + 56 + 93

Answers

Answer:

177

Hope this helps

28+56+93 would equal 177 .

Linear combination of matrices

Answers

Step-by-step explanation:

2B=

10 8 6

0 -6 6

4 12 14

6C=

24 30 36

42 0 18

6 -12 0

so 2B+6C=. 34 38 42

42 -6 24

10 0 14

Help me ASAP please

Answers

from what I remember from what my teacher taught me was that its nonlinear. I'm 98% sure its nonlinear

I'm am so sorry if I get it wrong. I'm apologizing ahead. if you want you can get the points back I dont mind because I feel bad when I get things wrong but I'm pretty sure its non linear

NEED HELP ASAP PLEASE!!!!

The frequency tables below show the amount of weight loss during the first month of a diet program for both males and females. Identify the graph that shows the corresponding frequency polygons.

Answers

Answer: did you get the answer ?

Step-by-step explanation:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’. What are the coordinates of the vertices of triangle A’B’C’?
A
A’ (1, 4), B’ (4, 1), C’ (1, 1)
B
A’ (-3, 4), B’ (0, 1), C’ (-3, 1)
C
A’ (-1, -4), B’ (-4, -1), C’ (-1, -1)
D
A’ (-5, -4), B’ (-8, -1), C’ (-5, -1)

Answers

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

[tex](x,y)\to (-x,y)[/tex]

[tex]A(-1,4)\to A_1(1,4)[/tex]

[tex]B(-4,1)\to B_1(4,1)[/tex]

[tex]C(-1,1)\to C_1(1,1)[/tex]

Coordinates of image after reflection across y-axis are [tex]A_1(1,4),B_1(4,1),C_1(1,1).[/tex]

Then triangle translated 4 units to the left to form triangle A’B’C’.

[tex](x,y)\to (x-4,y)[/tex]

[tex]A_1(1,4)\to A'(-3,4)[/tex]

[tex]B_1(4,1)\to B'(0,1)[/tex]

[tex]C_1(1,1)\to C'(-3,1)[/tex]

Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).

Hence, the correct option is B.

Select the best answer for the question.
9. What is 36:39 in simplest form?
O A. 36:39
O B. 13:12
O C. 1.3
O D. 12:13

Answers

Answer:

d

Step-by-step explanation:

12*3=36 and 13*3=39

There are 1200 students in a school 51% of them are female how many are male

Answers

The answer to this question is 612. Your welcome

Answer:

Step-by-step explanation:

588 are boys

1% of 1200 is 12, 50% is 600, add 12 and 600 together, you get 612, subtract it from 1200 and it gives you 588

Scarlet believes that she will be able to sell 132 boxes of cookies in her Girl Scout troop. If there are 12 boxes in each crate how many crates should she order to sell

Answers

Answer:

11

Step-by-step explanation:

132 ÷ 12 = 11

Answer:

11 ( Did it on college bridge )

Step-by-step explanation:

Explaining a Rule for Dividing Fractions
Explain the steps you would take to find the quotient of
1
3
÷ 4
3

Answers

Answer:

One rule for dividing fractions is the rule where instead of doing 13/43, you can do 13 times 1/43.

Step-by-step explanation:

Yeah

Answer:

1/4

Step-by-step explanation:

Sample response: First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.

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