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

Rewrite the range of each company’s wireless access devices in feet using scientific notation. (5,280 feet =1 mile)

Answers

Answer: in pics it’s the answer key

Step-by-step explanation:

what is an equation of the line that is parallel to y=-5+6 and passes through the poing (-4,-1)

Answers

Answer:

y=5x+19

Step-by-step explanation:

y+1=-5(x+4)

y+1=-5x-20

Subtract 1 (like terms)

y=-5x-21

Luke and Leia are selling hot dogs and hamburgers at a minor league baseball game. At the end of the day they determine they have sold a total of 45 items and earned $195. If hot dogs cost $4 and hamburgers cost $5, how many did they sell of each?

What would be a system of equations for the scenario above?

Answers

Answer:

15 hamburgers were sold and 30 hotdogs were sold.

The systems of equations are x + y = 45 and 4x + 5y = 195.

Step-by-step explanation:

Let's make two equations.

x + y = 45

This represents the total of hotdogs and hamburgers sold

4x + 5y = 195

This represents the amount of money made for each food.

These are systems of equations, when you use 2 equations to solve a problem. I will use the strategy, Elimination for the following systems of equations. Anyways the goal is to multiply a number to x + y = 45 to cancel out one of the variables in 4x + 5y = 195. In other words, when we add these equations, the sum of the xs or ys will equal 0.

Let's multiply -5 to both x and y.

Now we have -5x -5y = -225 + 4x + 5y= 195

We will end up with -x = -30. This means that x = 30.

Now that we know x = 30, we can plug in 30 as x in one of the equations. I will plug in 30 into x + y = 45. 30 + y = 45.

Solve for y in 30 + y = 45, so y=15.

This means 15 hamburgers were sold and 30 hotdogs were sold.

Hi - hi = x

(x) - hi + no = y

(y) x (x) =?

If you can solve this you get brainliest.

Answers

Answer:pi=72628

Step-by-step explanation:

Answer:

hi=bye

Step-by-step explanation:

Morton sees these stickers at a craft store. What is the ratio of clouds to suns ☁️☀️☁️☁️☀️

Answers

Answer:

3:2

Step-by-step explanation:

3 clouds, 2 suns

Answer: 3:2

Step-by-step explanation:

there are three clouds to two suns

1/8 as a decimal show how to do it

Answers

Answer:

0.125

Step-by-step explanation:

1/8 is the same as 1 ÷ 8

1 ÷ 8 = 0.125

I hope this helped!

Answer:

0.125

Step-by-step explanation:

how i do it it to multiply 125 by 8 that equals 1000.  now, every 125 is 1/8 so there is your answer

what is the area of this figure

Answers

Answer:

a = 83 inches

Step-by-step explanation:

5 * 11 = 55

7 * 4 = 28

55 + 28 = 83

A=83 hope this helps

What is the inverse of the following statement: “If x is a whole number, then x = 5”?
a) If x is not a whole number, then x ≠ 5.
b) If x = 5, then x is a whole number.
c) If x ≠ 5, then x is not a whole number.
d) If x is not a whole number, then x = 5.

Answers

Answer:

It's a

Step-by-step explanation:

Because inverse means opposite so they are asking for the opposite of the statement "If x is a whole number, then x = 5”

Hope this helped ✨

If x is not a whole number, then x ≠ 5 is inverse of the statement if x is a whole number, then x = 5

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given statement is "If x is a whole number, then x = 5". To find its inverse, we need to switch the hypothesis and the conclusion, and negate both parts of the statement.

The hypothesis is "x is a whole number", and its negation is "x is not a whole number".

The conclusion is "x = 5", and its negation is "x ≠ 5".

So, the inverse of the given statement is:

"If x is not a whole number, then x ≠ 5."

Therefore,  if x is not a whole number, then x ≠ 5 is correct answer.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ3

What’s the rule it’s algebra 1

Answers

Answer:

An algebraic rule is a mathematical expression that relates two variables and is written in the form of an equation. There are many constant algebraic rules, such as area = length x width. You can also create your own rule when given a set of variables

Step-by-step explanation:


Combine like terms.
y+6 - 2 – 4y^3– 5y + 2y^3 – 2y^3

Answers

Answer: −4[tex]y[/tex] + 4 − 4[tex]y^{3}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Collect like terms.

([tex]y[/tex] − 5[tex]y[/tex]) + (6 − 2) + (−4[tex]y^{3}[/tex] + 2[tex]y^{3}[/tex] − 2[tex]y^{3}[/tex])

Step 2: Simplify.

−4[tex]y[/tex] + 4 − 4[tex]y^{3}[/tex]

~I hope I helped you! :)~

three out of four students in school have a least one sibling. If there are 300 students in your school, how many would have a least one sibling ​

Answers

25 I think....      I am sorry if its wrong                      

Evaluate [4+(15+3)÷9]×7

Answers

Answer:

Evaluate [4+(15+3)÷9]×7 equals 42

Step-by-step explanation:

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:

Find the slope given the following two points: (16,3) and (14, -19)

Answers

Answer:

the slope m=11

Step-by-step explanation:

(To find the slope use the equation m=[tex]\frac{y2-y1}{x2-x1}[/tex])

(16,3), where 16=x1 and 3=y1

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m=[tex]\frac{y2-y1}{x2-x1}[/tex]

=[tex]\frac{-19-3}{14-16}[/tex]

=[tex]\frac{-22}{-2}[/tex]

(simplify)

=11

an expression equivalent to –8(2s–5)–4

Answers

Answer:

The answer:-16s+40-4

Answer:

-4 x (4s - 9)

Step-by-step explanation:

for every 5 cups of flour in a brownie recipe there are 2 cups of milk, the ratio the ratio for milk to flour is?

Answers

Answer:

2:5

Step-by-step explanation:

There are 2 cups of milk and 5 cups of flour per recipe.

Answer:

2:5 or 2 to 5 or 2/5

Step-by-step explanation:

You have to put the number of milk first then flour.hope this helps:)

Logan is solving this problem:

The cheetah ran 0.05 hours at a rate of 70 mph. How far did the cheetah run?

Logan solves the problem by writing:

d = r t. d = 70.05 miles.

What is wrong with Logan’s work?

A.) Logan used the wrong formula. He should have used A = bh.
B.) Logan did not use parentheses when substituting, and he did not multiply the numbers.
C.) Logan's work is correct.
D.) Logan labeled his answer incorrectly. The correct label is feet.

Answers

Answer:

Logan did not use parentheses when substituting, and he did not multiply the numbers.

Step-by-step explanation:

took the assignment, it was correct.

Answer:

B

Step-by-step explanation:

A box of 151515 cookies costs \$9$9dollar sign, 9.
What is the cost for 111 cookie?

Answers

Answer:

what they said

Step-by-step explanation:

cause i said so

Answer:

its 0.6

its really is :>>>>>>>

Find the value of x.

Answers

Answer:

x=24

Step-by-step explanation:

The straight line is 180 degrees so 180-35=145.

Than do 145=6x+1 and find x

144=6x

144/6=24

x=24

Answer:

x=24

Step-by-step explanation:

180-35=145

6x+1=145

6x=144

x=24

The United
States Mint released five state quarters
every year. There are 50 states. How many
years did it take for all 50 state quarters to
be released? Write and solve an equation.

Answers

Answer:

I found a link where this question was asked before with some helpful answers, here you go hope this helps! :)

https://brainly.com/question/1757751

The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. Find an equation for the parabola that passes through the points (−1, −11), (1, −5), and (2, −8).

Answers

Putting (-1, -11) in given equation, we get :

-11 = a + -b + c    ....1)

Similarly putting (1, −5) and (2, −8) we get :

-5 = a + b + c      ....2)

-8 = 4a + 2b + c ....3)Adding equation of 1) and 2) we get :

2( a + c ) = -6

a + c = -3

Solving equation 1 , 2 and 3 ,we get :

a = -2 , b = 3 , c = -6

Therefore, equation of parabola is :

y = -2x² + 3x -6

Hence, this is the required solution.

The heart rates in beats per minute for runners who walk briskly on a treadmill for 6 minutes follow a Normal distribution with a mean of 104 and standard deviation of 12.5. What percent of the runners have heart rates above 140?

Answers

Answer:

0.2%

Step-by-step explanation:

We apply the z score formula.

This is given as:

Z score = x - μ/σ

x = Raw score = 140

μ = Population mean = 104

σ = Standard deviation = 12.5

z = 140 - 104/12.5

z = 2.88

Probability value from Z-Table:

P(x<140) = 0.99801

P(x>140) = 1 - P(x<140)

= 1 - 0.99801

= 0.0019884

Approximately = 0.0020

Converting to percent = 0.2%

Therefore, percent of the runners have heart rates above 140 is 0.2%

Robert and Dora need to write 4,300,000,000 using scientific notation. Robert claims that 4,300,000,000 = 4.3 x 108 and Dora claims that 4,300,000,000 = 4.3 x 109. Which of the following best describes whose number is correct and the reason it is correct?

Answers

Answer:

Robert is correct

Step-by-step explanation:

we know in scientific notation a positive number goes to the right and if we do 4.3 and we go back the spaces it would be nine spaces so it would be 4.3 X 109

A bottle of medication contains 30 mls. After withdrawing 2.25 mls for an injection, how many
mls of medicine remain in the bottle?

Help please

Answers

Answer:

27.75 mls

Step-by-step explanation:

30mls - 2.25mls is equal to 27.75mls

Horses A veterinarian measures a horse to be 7.5
ft tall at the shoulder to the nearest half foot. What
are the minimum and maximum possible heights of
the horse?

Answers

Answer:

Minimum height is 7.25ft and maximum height is 7.75ft

Step-by-step explanation:

You measured to the nearest half foot, so the greatest possible error is 0.25 foot.

Minimum height= measured value-possible error= 7.5-0.25= 7.25ft

Maximum height= measured value+possible error= 7.5+0.25= 7.75ft

Kadyn rode his bicycle in a marathon for
176 miles. He took a rest stop every 22
miles. How many rest stops did Kadyn
take?

Answers

Kadyn took 8 rest stops.

Step-by-step explanation:

22 x 8 = 176

Answer: The answer is 8

Evaluate the expression 5x4+2x6

Answers

Answer:

The answer to this is: 132

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Hope this helps!!

A rectangle or plot of land has an area of 8/3 square miles and a length of 3/5 of a male What is the width of the plot of land in Miles?

Answers

13 1/3 or 40/3. hope this helps! :)

Which expression is equivalent to (fa)(5)?

Answers

Answer:

ylyiky lio

Step-by-step explanation:

SOMEONE PLS HELP ME W THIS QUESTION ASAP I’LL MARK BRAINLIEST

Answers

Answer:

i think it is A the first option

Step-by-step explanation:

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