the poultry farmer decided to make his own chicken scratch by combining alfalfa and corn in rail car quantities.A rail car of corn costs $400 and a rail car of alfalfa costs $200. The farmer's chickens have a minimum daily requirement of vitamin K (500 milligrams) and iron (400 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 150 milligrams of vitamin K and 75 milligrams of iron. A unit of alfalfa contains 250 milligrams of vitamin K and 50 milligrams of iron.Formulate the linear programming model for this situation.

Answers

Answer 1

Answer:

- Min Z = $400C + $200A

Step-by-step explanation:

The linear programming model deals with the minimization or maximization of a linear function of several variables and inequalities. This method assists the industries in minimizing costs and maximizing production.

In the given situation,

The Linear programming model would be:

Min Z = $400C + $200 A

which is based on:  

150 mg of vitamin K in corn C + 250 mg of vitamin K in AlfaAlfa  ≥ 500

75 mg of iron in Corn + 50 mg of iron in AlfaAlfa ≥ 400

∵ C, A ≥ 0

Thus, the equation would be,

Min Z = $400C + $200 A


Related Questions

How do i work out the area of a circle that equals 5000

Answers

Answer:

Radius is 39.89422804 units

Step-by-step explanation:

Area of circle can be calculated with the formula: [tex]\pi r^{2}[/tex]

The area of the circle is 5000.

[tex]\pi r^{2}[/tex]= 5000

If you're looking for the radius, solve for r.

[tex]r^{2}[/tex]= [tex]\frac{5000}{\pi }[/tex]

r= [tex]\sqrt{\frac{5000}{\pi} }[/tex]

r= 39.89422804 units

find the missing side. round your answer to the nearest tenth. PLEASE HURRY

Answers

Answer:

5.4

Step-by-step explanation:

cos(theta) = B/H

cos(75)=x/21, x=5.4

write your answer in simplest radical form​

Answers

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

Maybe this image can help you.

Solve the equation.

0.50x +0.45(50) = 48.5

x=?​

Answers

Answer:

x=52 Here is y

Step-by-step explanation:

4)
Write an inequality for the graph below. If necessary, use
<= for < or >= for .

Answers

9514 1404 393

Answer:

  y < -1/4x -1

Step-by-step explanation:

The boundary line appears to go through the points (-4, 0) and (0, -1). This tells you it has a "rise" of -1 for a "run" of 4. The slope is ...

  m = rise/run = -1/4

The y-intercept (b) is the point where the y-axis is crossed. The slope-intercept equation of the boundary line is ...

  y = mx + b

  y = -1/4x -1

__

The boundary line is dashed, so is not included in the solution set. The shading is below the line, so all y-values less than (but not equal to) the boundary line are in the solution set:

  y < -1/4x -1

what is the perfect square of 96​

Answers

Step-by-step explanation:

We determined above that the greatest perfect square from the list of all factors of 96 is 16.

Layla guesses on all 20 questions of a multiple-choice test. Each question has 4 answer choices. What is the probability of a success and a failure for this experiment?

Answers

Step-by-step explanation:

what is the criteria for success ? how many questions must be right ? and how many must be wrong for failure ?

if success means all answers right, then she has 4 choices on the first question to pick one right answer. and then for each of those again 4 choices on the second question and so on.

so, all possible outcomes are 4²⁰.

that means the probability to guess all 20 right is

1/4²⁰

a tiny, tiny number.

and the probabilty to have all wrong ?

she has 4 choices to pick 1 of 3 wrong answers.

so, the probability is 3/4 to answer the first question wrong.

for that she has again then the same chance to get the second question wrong too.

so, it is 3/4 × 3/4 = 9/16

and so on.

the probability to guess all 20 wrong is then

(3/4)²⁰ ≈ 0.0032

that is still a small number but much, much larger than the probability to get everything right.

still, even the goal to truly get everything wrong is highly unlikely.

ly which number does the digit 6 have a value that is 10 times as great as the digit 6 in the number
62,045?

Answers

Answer:b

Step-by-step explanation:

Answer:

it is not B!!!. It is D (640,488)


Amira starts an exercise programme on the 3rd of March. She decides she will swim every
3 days and cycle every 4 days. On which dates in March will she swim and cycle on the
same day?

Answers

Answer:

12 days

Step-by-step explanation:

The answer of the problem is the LCM of 3 and 4=12. Hence the answer is 12 days

On 12 March she will swim and cycle on the same day if Amira starts an exercise program on the 3rd of March.

What is LCM?

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

We have:

Amira starts an exercise program on the 3rd of March.

She will swim every 3 days and cycle every 4 days.

Total days =3 + 4 = 7 days = 1 week

The day she swims and cycles on the same day = LCM of 3 and 4

= 3, 6, 9, 12, 15

= 4, 8, 12, 16

= 12

Thus, on 12 March she will swim and cycle on the same day if Amira starts an exercise program on the 3rd of March.

Learn more about the LCM here:

brainly.com/question/20739723

#SPJ2

In a study on the time that
a student required to obtain a college degree is randomly selected to 80
students and it is discovered that they have an average of 4.8 years (according to data from the National
Center for Education Statistics). Assuming s 2.2 years, construct an estimate of a confidence interval of the population mean. The confidence interval
the result contradicts the fact that 39% of students get their college degree in four years?

Answers

The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.

-----------------------------

To solve this question, we need to find the confidence interval for the amount of time it takes the students to get the degree.

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

-----------------------------

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 80 - 1 = 79

-----------------------------

95% confidence interval

Standard level of confidence, we have to find a value of T, which is found looking at the t table, with 79 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9905.

-----------------------------

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.9905\frac{2.2}{\sqrt{80}} = 0.5[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

-----------------------------

The lower end of the interval is the sample mean subtracted by M. So it is 4.8 - 0.3 = 4.3 years.

The upper end of the interval is the sample mean added to M. So it is 4.8 + 0.3 = 5.3 years.

-----------------------------

The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.

A similar question is given at https://brainly.com/question/24278748

Find the value of [(33.7)² - (15.3)²]^½ leaving your answer correct to 4 significant figures​

Answers

Answer:

30.03

Step-by-step explanation:

[(33.7)² - (15.3)²]^½

= [1135.69 - 234.09]^½

= [901.6]^½

= 30.02665483

= 30.03 (4sf)

Which is the sum of the sequence {5*1, 5*8, 5*27, 5*64, 5*125, 5*216}?

Answers

Answer:

2160

Step-by-step explanation:

I find that it is easier to split the sequence into smaller, more manageable sections. For numbers beyond 13, the simplest way is to split it up into place values.

Note: * is a multiplication symbol

5*1 = 5

5*8 = 40

5*27 = (5*20) + (5*7) = 100+35 = 135

5*64 = (5*60) + (5*4) = 300+20 = 320

5*125 = (5*100) + (5*20) + (5*5) = 500+100+25 = 625

5*216 = (5*200) + (5*10) + (5*6) = 1000+50+30=1080

Now you can add all of the totals up!

135+320+625+1080 = 2160

please solve asap thanks ​

Answers

I think..

A' =( -1,-4 )

B' = ( 3,-2 )

C'=( - 2, 2 )

Answer:

A' (-3, 12)

B' (9, 6)

C' (-6, -6)

Step-by-step explanation:

A (-1 , 4 ) , K = 3 => K * each with coordinate of A => (-1 * 3, 4 * 3)

B ( 3 , 2 ) , K = 3 => K * each with coordinate of B => (3 * 3, 2 * 3)

C ( -2 , -2 ) , K = 3 => K * each with coordinate of C => (-2 * 3, -2 * 3)

What percentages of participants in the study were American?​

Answers

the percentage of the participants that were american is %15

The HCF of two numbers is 175. The LCM of these two numbers is 12600. Both numbers are greater than their HCF. Find the two numbers

Answers

Answer:

Hello,

Answer : 1400 and 1575

Step-by-step explanation:

Let's say a and b the ywo numbers

[tex]HCF(a,b)=a\vee b=175=5^2*7\\LCM(a,b)=a\wedge b=12600\\\\a*b=(a\vee b)*(a\wedge b)=(2^3*3^2*5^2*7)*(5^2*7)=2^3*3^2*(5^2*7^2)^2\\\\Both\ numbers\ are\ greater\ than\ their HCF\\a=175*k_1\\b=175*k_2\\\\k_1=2^3\ and\ k_2=3^2\\\\a=175*2^3=1400\\b=175*3^2=1575\\\\[/tex]

A deli sandwich shop is offering either a ham or turkey sandwich, either tomato or vegetable soup, and either coffee or milk for their lunch special. Which tree diagram below shows all of the combinations for a sandwich, soup, and beverage?

Answers

Answer:

A.

Step-by-step explanation:

A. is the answer because they list all of the sandwiches, soups, and beverages with every possible combination.

HELP ,E P[LE[PAK LIUDGHMLA FsgdfsA FSD

Answers

Answer:

11 is the mean, median,mode

HOW TO FIND THE MODE

Find the number that is seen most often in the dataset.

HOW TO FIND THE MEDIAN

Find the number that's in the middle.

HOW TO FIND THE MEAN

Add all the numbers together. Then, divide by the amount of numbers in the dataset.

Step-by-step explanation:

A rotation or turn always moves clockwise and never counterclockwise.
True
False

Answers

Answer:

False

Step-by-step explanation:

It can go in any direction

Answer:

False

Step-by-step explanation:

Rotations can be either clockwise or counterclockwise

Evaluate the expression for n = –8.

–2n − 6 =

Answers

Answer:

10

Step-by-step explanation:

-2n - 6 = ?let n be -8-2 (-8) - 6 = ?= 10

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

You are offered two stocks. The beta of A is 1.4 while the beta of B is 0.8. The growth rates of earnings and dividends are 10% and 5%, respectively. The dividend yields are 5% and 7%, respectively.
Since A offers higher potential growth, should it be purchased?
Investments- Individual Work 2 Page 3
Since B offers a higher dividend yield, should it be purchased?
If the risk-free rate of return were 7% and the return on the market is expected to be 14%, which of these stocks should be bought?

Answers

Answer:

a) Yes , Cause The Expected Returns of stock A is Higher than that of B

b) No,  Cause The Expected Returns of stock B is Lower than that of A

Step-by-step explanation:

From the question we are told that:

Beta A \beta A=1.4

Beta B \beta B=0.8

Stock 1 Growth rates of earnings and dividends G_1=10\%

Stock 2 Growth rates of earnings and dividends  G_2=5\%

Stock 1  Dividend yields D_1=5\%

Stock 2 Dividend yields  D_2=7\%

Generally the equation for Expected Returns is mathematically given by

Expected Returns =Growth rates+Dividend yields

For Stock 1

Expected\ Returns =G_1+D_1

Expected\ Returns =5%+10%

Expected\ Returns =15%

For Stock 2

Expected\ Returns =G_2+D_2

Expected\ Returns =7%+5%

Expected\ Returns =12%

Therefore

a) Yes , Cause The Expected Returns of stock A is Higher than that of B

b) No,  Cause The Expected Returns of stock B is Lower than that of A

look at the image to find the question

Answers

Answer:

yes, the volume = 16 ft^3

How to solve this question

Answers

hopefully this answer can help you to answer the next question. can you choose this answer as the brainliest answer and give five stars

26. A dealer was paid 5% commission on all the recharge cards he sold. If he sold N50,000.00 worth of cards, how much commission did he get?​

Answers

Answer:

Its N2500

Step-by-step explanation:

5% of 50000 is 2500, so thats how much commision he got

The dealer earned a commission of N2,500.00 on the sale of recharge cards worth N50,000.00.

To calculate the commission earned by the dealer, we need to determine 5% of the total value of the recharge cards sold.

Given that the dealer sold N50,000.00 worth of cards, we'll calculate the commission using the following formula:

Commission = (Percentage/100) * Total Value

In this case, the percentage is 5% and the total value is N50,000.00.

Using the formula, we have:

Commission = (5/100) * N50,000.00

Simplifying the equation:

Commission = 0.05 * N50,000.00

Commission = N2,500.00

To learn more about commission click on,

https://brainly.com/question/18129721

#SPJ2

helppp ASPPP plzz Select the correct answer.

Answers

Answer:

C. [tex]-2x^3+2\sqrt{x}[/tex]

Step-by-step explanation:

[tex]\sqrt{x} -x-(2x^3-\sqrt{x} -x)[/tex]

Change the signs of g(x)

[tex]\sqrt{x} -x-2x^3+\sqrt{x} +x[/tex]

Simplify

[tex]-2x^3+2\sqrt{x}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

You need a 75% alcohol solution. On hand, you have a 60 mL of a 55% alcohol mixture. You also have 85% alcohol mixture. How much of the 85% mixture will you need to add to obtain the desired solution?

You will need_____ mL of the 85% solution

Answers

60 mL=55% alcohol

?mL=85% alcohol

85×60÷55

=92.727 mL

I think do like this....I'm not sure

Hope this help you

9514 1404 393

Answer:

  120 mL

Step-by-step explanation:

Let x represent the amount of 85% solution needed. Then the total amount of alcohol in the mix is ...

  0.55(60) +0.85(x) = 0.75(60 +x)

  33 + 0.85x = 45 +0.75x . . . . . . . eliminate parentheses

  0.85x = 12 +0.75x . . . . . . . . . .subtract 33

  0.10x = 12 . . . . . . . . . . . . . . subtract 0.75x

  x = 120 . . . . . . . . . . . . . . multiply by 10

You will need 120 mL of the 85% solution.

Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12

Answers

Answer:

6,78

Step-by-step explanat

ion:data size :10

Sample mean:15

Standard sample deviation :6,782

Answer:

6,78

Step-by-step explanation:

What integer is equal to 5!×2!?​

Answers

Answer:

240

Step-by-step explanation:

! means factorial or to multiply by the previous number down to one so 5!=5*4*3*2*1=120 120*2=240.

A research center poll showed that ​76% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this​ belief?

Answers

Answer:

6/25

Step-by-step explanation:

P(have belief) =76/100 = 19/25

P (does not have belief) = 1-19/25 = 6/25

Write the place and Value of Each Number
27 210 What place is the selected digit in?
What is the value of the selected digit?
48,177 What place is the selected digit in?
What is the value of the selected digit?
A
62,774 What place is the selected digit in?
What is the value of the selected digit?
73,646 What place is the selected digit in?
What is the value of the selected digit
A

Answers

Answer:

C

Step-by-step explanation:

Jack is going to the fair. The fair charges $10 to enter and $0.25 per ticket. How much will be spent by Jack? t = tickets 0.25 + 10 10 + 0.250. pless help ​

Answers

Answer:

10 + .25t

Step-by-step explanation:

The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets

cost = 10 + .25t

Other Questions
3. If b = 110, what is the value of g? I need help completing this problem ASAP Renaissance humanists Group of answer choices celebrate the human being as the central fact in all the created world. intensify the otherworldliness embedded in medieval culture by emphasizing that human perfection is possible only in the life to come. tend to be pessimistic about humanity's prospects. see clearly that a good human life, as represented in the classics, is incompatible with Christianity. help asap Find the area of the circle.Use 3.14 for n. Do not round youranswer.Area = [?] inches11 inchesEnter the number thatbelongs in the green box. Given that h(x) = 5-2x, find the value(s) of x when h(x) =3 A(x)=7x^3 -5x^4-2x +1 ;B(x)= 6x+ 5x^4 -7x^3 -17 tnh A(x) -B(x) An industry can be defined as a group of: a. companies offering products or services that are close substitutes for each other. b. brands that offer different products but are owned by a single firm. c. different kinds of companies that are based in the same geographic location. d. companies that are different but generate similar amounts of revenues. e. manufacturing plants of a single company. What is the type of vocabulary an author uses in a text Use the photo and caption to research this time period or event of the war. What is the historical context (background) of the photo? What led up to this event happening? Provide historical evidence and support.If you cannot see the attachment, the picture is: "USS SHAW exploding during the Japanese raid on Pearl Harbor." December 7, 1941. Which type of electromagnetic wave is deliberately used in somecircumstances to cause damage to living cells in the human body?A. Infra-redB. Gamma raysC. Microwaves D. Radio waves. The knob at the front of the miter saw about belt height is used to adjust the miter angle true or false Explain a significant development in Europe by the 15th and 16th centuries that caused a surge in exploration . solve the expression -|6+(-2)|+9 3.Why has NSC 68 become the Bible of U. S. defense expenditures? Externalities may prevent competitive markets from operating efficiently because A. consumers may buy goods in the black market. B. market prices may reflect the activities of consumers or producers on others. C. the market may goods that generate externalities on others. D. the market may goods that generate externalities on others. E. producers may sell goods outside of the market. What is meant by physical aspect of environment? In which sentence is the word my used as an INTERJECTION?A. -My-. letter to the editor was published today.B. I expressed -my- ideas about the new freewayC. I could not believe -my- eyesD. My, there were a lot of letters on the subject! What's a very complex equation that equals 3 Travis just got promoted to network administrator after the previous administrator left rather abruptly. There are three new hires that need onboarding with user accounts. When Travis looks at all the existing account names, he notices there is no common naming system. Where should he look to try to give the new hires user accounts with proper naming conventions In your own words, how would you describe civic engagement?