An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 32 units of vitamin C and 9 units of vitamin E, while each ounce of food II contains 16 units of vitamin C and also 18 units of vitamin E. The total supplement of these two foods must be at most 35 ounces. Unfortunately, food I contains 48 units of cholesterol per ounce and food II contains 25 units of cholesterol per ounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized. Find the minimum amount of cholesterol.

Answers

Answer 1

Answer:

z (min)  = 705

x₁  = 10

x₂  = 9

Step-by-step explanation:

Let´s call  x₁  quantity of food I ( in ou )  and x₂ quantity of food II ( in ou)

          units of vit. C   units of vit.E   Cholesterol by ou

x₁                 32                      9                         48

x₂                16                      18                          25

Objective function z

z  =   48*x₁   +  25*x₂        To minimize

Subject to:

1.-Total units of vit. C at least  464

32*x₁   +  16*x₂     ≥   464

2.- Total units of vit. E at least  252

9*x₁  + 18*x₂   ≥  252

3.- Quantity of ou per day

x₁   +   x₂   ≤  35

General constraints    x₁  ≥ 0    x₂   ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min)  = 705

x₁  = 10

x₂  = 9


Related Questions

Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?

Answers

Answer:

The correct answer is this graph

Step-by-step explanation:

I just took the test #plato

Answer:  the answer is C, but make sure the C has the the line crossing on 0 and -1

Step-by-step explanation:

Took Test om Plato.

Plz help me well mark brainliest if correct!

Answers

Answer:

Two weeks later

Step-by-step explanation:

There are 14 days in two weeks, and there are 14-day intervals between dates.

Answer:

2 weeks later

Step-by-step explanation:

Two weeks is equivalent to 14 days

The linear factors of a quadratic expression are (x + a) and (2x + b), where a and b are
positive, odd integers. Which statement about the zeros of this expression's related
quadratic function is FALSE?

A. Both of the zeros are located on the x-axis.

B. One zero is an integer, and the other is a fraction.

C. The zeros are the opposites of the constants in the linear factors.

D. The zeros can be found by setting each factor equal to 0 and solving.

Answers

A HOPE IT HELPSSSSSS

Answer: The answer is C

NO LINKS I WILL REPORT YOU
What are the missing numbers

Answers

The missing numbers are 2 and 3 so it should look like y=4/3x + 2/3

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample? The representative sample contained all 160 students. The representative sample contained more boys than girls. The representative sample contained more girls than boys. The representative sample contained an equal number of boys and girls.​

Answers

Answer:

The representative sample contained more girls than boys.

The true representative sample:

The representative sample contained more girls than boys.

The correct option is C.

What is sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given:

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip.

A random sample of students is chosen.

Surveying the random sample produced a representative sample of the population.

The total number of students = 160

The number of girls = 95

The number of boys = 65

Clearly, the number of girls is more than the number of boys.

Therefore, the sample should contain more girls than boys.

To learn more about the sample space;

https://brainly.com/question/28043513

#SPJ3

Question 20
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children
must be 1:8
Penny has 56 children at the nursery.
(a) Work out the number of adults Penny needs for 56 children.​

Answers

Answer: 7

Step-by-step explanation:

We know that the ratio adults: children must be 1:8.

So if there are 58 children the ration is x: 56

56/8 (to find the number of adults) = 7

7:56 = 1:8

Find the exact circumference of a circle with diameter equal to 8 ft.

Answers

Answer:

C = 8π ft

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter ) , then

C = 8π

Which table represents a linear function?
1) f(x)
2) g(x)
3 h(x)
4 k(x)

Answers

Answer: f(x)

Step-by-step explanation:

Which line is parallel to 2x - y = -3 and goes through (5, 5)?

Answers

Answer:

G. y=2x-5

Step-by-step explanation:

First, find the slope from 2x-y=-3

-y=-2x-3

y=2x+3, which means that the slope is 2

Since it is parallel, the given equation and the line we are finding has the same slope.

let y=mx+b, where m=2, y=5, x=5

5=2(5)+b

5=10+b

-5=b

Thus, y=2x-5

Answer:

F Y=1x+5 G Y=2x-5 H Y =x-3 J Y=2x+5

What is the equation of this line?
Y=3x
Y=3
Y=-3
X=3

Answers

The answer is Y=3 cause it’s on the positive y -axis and not the negative y - axis

Can someone please help me I will mark u brilliant

Answers

Answer:

d

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.

3-2

Answers

Answer:

the answer would be 1 sorry if I'm wrong

Answer:

the answer is 1/9 trust me its right

Step-by-step explanation:

Which negative angle is equivalent to a 75° angle?

Answers

Answer:

A) -285

Step-by-step explanation:

360-75=285

Which are dependent events?
A. rolling two number cubes
B. tossing the same coin two times
C. spinning a spinner and rolling a number cube
D. taking two marbles from a box without replacing the first marble

Answers

Answer:

D. taking two marbles from a box without replacing the first marble are  dependent events

[tex]----------[/tex]

hope it helps

have a great day!!

it’s D, taking two marbles from a box

Please explain step by step.

Answers

Answer:

B

Step-by-step explanation:

If you at the graph it shows that the dots in bettwen Y side (left side)

so the first dot is 15 due to it between 10 and 20 and the 2nd dot is 20

ryan deposited $1,000 into an accontthat earns 5% simple annual interest. how much does ryan have total after 10 years

Answers

Answer:

$500

Step-by-step explanation:

1000x.05=50 per year

50/year x 10 years =500

Can someone help me plead

Answers

Answer:

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

Step-by-step explanation:

The following equations are given

a. 2 × 2× 2

b. 3 × 3 × 3 × 3

c. 4 × 4 × 4 × 5 × 5

d. 9 × 7 × 9 × 9 × 7 × 9

We need to find the index notation for the above equations

a. 2^3

b. 3^4

c. 4^3 × 5^2

d. 9^4 × 7^2

In this way it should be done

The same would be relevant

Two students went shopping and bought $150 worth of clothes they had to pay an additional $14.78 in tax. Estimate the tax rate they had to pay.

Answers

Answer:

10.15

Step-by-step explanation:

I divided the worth of clothe and the tax

The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in degrees Fahrenheit in Centerville.

b.) What is the maximum high temperature and when does this occur?

NOTE: I found the answer online, I just don't understand how to get there. It's July 15, 85 degrees.

Answers

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

[tex]\sin{(\frac{\pi}{2})} = 1[/tex]

y=60+25sin(pi/6)t

The maximum value will occur when [tex]\sin{(\frac{\pi t}{6}}) = 1[/tex], and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is [tex]\frac{\pi}{2}[/tex]. So

[tex]\frac{\pi t}{6} = \frac{\pi}{2}[/tex]

[tex]\frac{t}{6} = \frac{1}{2}[/tex]

[tex]2t = 6[/tex]

[tex]t = \frac{6}{2} = 3[/tex]

That is the number of months after April 15, which is 3 months. So July 15.

what is the slope of the line.

Answers

Answer:

1 ..................or 1/1

Answer:

-1 is the slope

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

round to nearest 1000 place
5932
26148
527061​

Answers

Answer:

5932-6000

26148-26000

527061-527000

Factor the expression shown below completely.
18.12
603 + 50
OA. 2(31 – 5)2
OB. 2(6.1 – 5)2
OC. 3(2x - 5)
OD. 6(3.1 – 5)
RIGHT ANSWERS ONLY

Answers

A. 2(3x-5)²

Step-by-step explanation:

18x² - 60x + 50

= 2 (9x² - 30x + 25 )  ⇒⇒⇒ take 2 as common from all terms

note: 9x² = 3x * 3x and 25 = 5*5 and

 3x * 5 *2 = 30x

so, this is a complete square

= 2(3x-5)(3x-5)

= 2(3x-5)²

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life.
Car Brand 1 Brand 2
1 36663 33866
2 43509 41829
3 36240 35500
4 32100 31950
5 37210 38015
6 48360 47800
7 38200 37810
8 33500 33215
a) Calculate SD =
b) Calculate a 99% two-sided confidence interval on the difference in mean life.
c) Which brand would you prefer? (brand 1/ no difference /brand 2)_____

Answers

Answer:

a) σ  =  4933,64

b) CI 99%  = ( - 5746  ;  7194 )

c) No difference in brands

Step-by-step explanation:

Brand 1:

n₁   =  8

x₁   = 38222

s₁   = 4974

Brand 2:

n₂  = 8

x₂  = 37498

s₂  = 4893

As n₁  =  n₂  = 8       Small sample  we work with t -student table

degree of freedom      df  = n₁  +  n₂  - 2    df = 8 +8 -2  df = 14

CI = 99 %   CI  =  0,99

From  t-student table we find   t(c)  = 2,624

CI  =   (  x₁  -  x₂ ) ±  t(c) * √σ²/n₁   +  σ²/n₂

σ² = [( n₁  -  1 ) *s₁² +  ( n₂  -  1  ) * s₂² ] / n₁ +n₂ -2

σ² = 7* (4974)² + 7*( 4893)² / 14

σ² = 24340783       σ  =  4933,64

√ σ²/n₁  +  σ²/n₂     =  √ 24340783/8   +  24340783/8

√ σ²/n₁  +  σ²/n₂     =  2466

CI 99%  =  (  x₁  -  x₂ ) ± 2,624* 2466

CI 99%  =   724  ± 6470

CI 99%  = ( - 5746  ;  7194 )

As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups

The sum of a number, n, and 6.05 is 12.4. What is n?

Answers

Answer:

2.04

Step-by-step explanation:

Equation: 6.05n=12.4=

Answer:

n = 6.35

Step-by-step explanation:

Okay, so this is a basic algebraic expression, so you'd set it up like:

n + 6.05 =  12.4

And now you have to do the inverse operations thing:

12.4 - 6.05 = 6.35‬

So, n = 6.35

hope this helps:)

Jeremiah wants to estimate the mean age of students at his large university. He'll sample n students and make a 95%, percent confidence interval for the mean age. He is willing to use σ=3 years as an estimate of the standard deviation, and he wants the margin of error to be no more than 1 year. Which of these is the smallest approximate sample size required to obtain the desired margin of error?

Answers

Answer:

35 students

Step-by-step explanation:

khan

lol, A triangle has sides of length 25, 16, and 7. Is this a right triangle? Justify your answer using mathematics.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The given side lengths do not form a triangle of any kind.

  [tex]7+16\ngtr 25[/tex]

If you can buy one tub of dried blueberries for $8, then how many can you buy with $16?​

Answers

Answer:

you can buy 2 tub of dried blueberries with $16

Step-by-step explanation:

1 tube ---cost for $8..

x ?-------cost for $16........mean 2 tubs of dried blueberries for $16....

Find the area of the polygon.
42 m
26 m
21 m
52 m
The area of the polygon is _
square meters.

Answers

Answer:

1327

Step-by-step explanation:

Please check the attachment for explanation.

Please help

the diagram shows a cube and a cuboid

Answers

Answer:

2197 cm³

Step-by-step explanation:

surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014

surface area of cube = 6 * x²   .... x: side length of cube

6x² = 1014

x² = 169

x = 13

volume of cube = x³ = 13³ = 2197 cm³

Can someone please help

Answers

Answer:

16.989

Step-by-step explanation:

Cosine angle = adjacent/ hypnosis

Cos 28 = 15/x  Multiply both sides by x

xCos 28 = 15x/x   x/x is 1

xCos 28 = 15(1)  Divide both sides by Cos 28

xCos 28/Cos 28 = 15 / Cos 28   Cos 28 / Cos 28 = 1

x = 15/Cos 28

x = 16.989

 

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