Consider the optimization problem of maximizing Cobb–Douglas production function: Q = 20 K1/2 L1/2, subject to cost constraint: K + 4L = 64.
a/ Use the method of Lagrange multipliers to find the maximum value of the production function;
b/ Estimate the change in the optimal value of Q if the cost constraint is changed to K + 4L = 65, and state the new maximum value of the production function.

Answers

Answer 1

Answer:

bsjsisisos9ss9w9s9s9


Related Questions

If someone can pls give the answer with steps that would be greatly appreciated :)

Answers

Answer:

Slope = 3

intercept = 2

y = 3x + 2

angle y = 70

angle x = 110

Step-by-step explanation:


1. The set of ordered pairs {(-2, 4), (0,3), (4,11), (7. - 1)}| defined y as a function of x. Which of the following
output of the function when its input is 4?
A) -1
B)-2
C) 0
D) 11

Answers

Answer:d

Step-by-step explanation:because it is i think

B
(3y + 11)
116°
4y
р с
А
Find the measure of ZA.
mZA

Answers

Answer:

an exterior angle is equal to the sum of the two opposite interior angles.

3y + 11 + 4y = 116

Step-by-step explanation:

First combine like terms 7y + 11 = 116

Then undo addition or subtraction.

Then undo multiplication and division to get the value of y.

Use the digits 0 - 9 to fill in the blank.
[tex]243 \frac{1}{5} = blank[/tex]

Answers

Answer:

use 0-9 to fill in blanks

Step-by-step explanation:

Which of the following is a benefit of doing business with an online bank?
A. Greater variety of services
B. Personalized service
Ο Ο
C. Variety of deposit locations
O
D. Typically higher savings rates

Answers

I think it is D.





Jsnsjsjns

Carson is going to see a movie and is taking his 2 kids. Each movie ticket costs
$14 and there are an assortment of snacks available to purchase for $3.50
each. How much total money would Carson have to pay for his family if he
were to buy 2 snacks for everybody to share? How much would Carson have
to pay if he bought x Snacks for everybody to share?
Total cost with 2 snacks:
Total cost with x sn
acks:

Answers

49 dollars

Step-by-step explanation:

14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.

Total cost with 2 snacks = $35

Total cost with x  snacks = 28+3.50x

Given :

Carson is going to see a movie and is taking his 2 kids. Movie ticket costs $14 and snacks cost $3.50.

Explanation :

Carson buys 2 snacks . we need to find the total cost that Carson have to pay where he buy 2 snacks.

Total cost = cost of ticket (2 kids) + cost of 2 snacks

[tex]Total \; cost = 14(2) + 2(3.50)=35[/tex]

Total cost with 2 snacks = $35

Total cost with x snacks = cost of ticket (2 kids) + cost of x snacks

[tex]Total \; cost = 14(2) + 3.50(x)\\Total \; cost = 28+3.50x[/tex]

Total cost with x  snacks = 28+3.50x

Learn more :  brainly.com/question/17565961

PLEASE HELP ME ASAP! ILL GIVE YOU ALL OF MY POINTS PLEASE HELP.

A large container of breath mints has a mass of 50 g. A small container has a mass of 10 g. What is the percent decrease from the mass of the large container to the mass of the small container? Show your work.​

Answers

Answer:

80 percent decrease

Step-by-step explanation:

80% of 50 = 40 and 50 - 40 = 10

Answer:

It decreases 80%

Step-by-step explanation:

If the 50g one is 100%, and the 10g one is a fraction of that, find out what 10/50 is as a percent.  

10/50= 20%

Because this is the remaining mass, the other 80% has been deducted meaning that the mass of the large container has decreased 80% to get to the mass of the smaller one.  

In the short run, higher demand will not influence the price, it will influence
A. output.
B. price.
ОО
C. investment.
D. input.

Answers

Answer:

c espero q passe na prova tudo de bom pra vc

the answer is c, investment

George bought a shirt and a pair of pants at a clothing store. The pants cost $5.33 more than the shirt, and he used a $10 off coupon to purchase the shirt. The equation below is used to determine the cost of the shirt before the coupon, s.

Answers

Answer:

15.99

Step-by-step explanation:

5.33+5.33+5.33

Write the quadratic equation whose roots are - 6 and -4, and whose leading coefficient is 4.
(Use the letter x to represent the variable.)

Answers

Answer:

Step-by-step explanation:

y=4(x+6)(x+4)

y=4(x^2+10x+24)


ANSWER ALL QUESTIONS
1. In a class of 28 pupils, 13 have pencils, 9 have erasers and 9 have neither pencils nor erasers. How
many pupils have both pencils and erasers?
2. A universal set, U consists of prime numbers with P and Q as subsets of U. If P and Q are given by
P = {n: 3(n + 1) = 2(n + 10)}, and Q = {n: 7<n<31}, list the elements of P n Q. ​

Answers

1. 3

29-9=19

13+9=22

22-19=3

I don't know number 2, sorry.

Aye yu taking a test?

please answer the question first ​

Answers

Answer:

Yes, 2.4

Step-by-step explanation:

Y is directly dependant on x, and the constant we multiply x by to get y is 2.4.

Answer:

Yes, 2,4

Step-by-step explanation:

This explains direct proportion because it shows that y equals the 2.4x which is the direct proportion

Hopes this helps

What equation can you write to solve for x?

Answers

Answer:

(3x) ° + (x+ 10)° = 90°

Step-by-step explanation:

(3x) ° + (x+ 10)° = 90°

3x + x + 10 = 90

4x = 90 - 10

4x = 80

x = 20

(3x) ° = 3 x 20 = 60°

(x + 10)° = 20 + 10 = 30°

Answer: you can either do 3x°(x+10)° or (x+10)°+3x°

the choice is yours. Hope this helps

Find the value of x.
Plz help :/

Answers

Answer:

10

Step-by-step explanat

ion:  

given f(x) = 5x + 7,g(x) = 3x-1 find f(g(x))

Answers

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

FunctionsFunction NotationComposite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x + 7

g(x) = 3x - 1

Step 2: Find

Substitute in functions:                                                                                    f(g(x)) = 5(3x - 1) + 7[Distributive Property] Distribute 5:                                                                 f(g(x)) = 15x - 5 + 7[Addition] Combine like terms:                                                                        f(g(x)) = 15x + 2

what is the solution for 3(x+3)=12

Answers

Answer: 3×4=12

Step-by-step explanation:

Brackets: X=1 , so 1+3=4 and 3+4=12

The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75 beats per minute. Let x be a random variable that represents the resting heart rate for an adult horse. Assume that x has a distribution that is approximately normal.

Required:
a. What is the probability that the heart rate is less than 25 beats per minute?
b. What is the probability that the heart rate is greater than 60 beats per minute?
c. What is the probability that the heart rate is between 25 and 60 beats per minute?

Answers

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean:

[tex]\mu = 47[/tex]

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

[tex]4\sigma = 75 - 19[/tex]

[tex]4\sigma = 56[/tex]

[tex]\sigma = \frac{56}{4} = 14[/tex]

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 47}{14}[/tex]

[tex]Z = -1.57[/tex]

[tex]Z = -1.57[/tex] has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 47}{14}[/tex]

[tex]Z = 0.93[/tex]

[tex]Z = 0.93[/tex] has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Find the area of the sector in
terms of pi.
120°
24
Area = [?] π
Enter

Answers

Sector area= theta/360 x πr^2

Radius= 24/2= 12

Sector area= 120/360 x π(12)^2

Final answer :

Sector area = 48π

When sample size increases:____.
A. Standard deviation of the sample mean increases.
B. Confidence interval remains the same.
C. Confidence interval increases.
D. Confidence interval decreases.

Answers

Answer:

D. Confidence interval decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

When sample size increases:

The standard deviation of the sample mean is:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.

This means that the correct answer is given by option D.

If someone can pls give the answer with steps that would be greatly appreciated :)

Answers

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The measures of [tex]x[/tex] and [tex]y[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\: 210°\:and\:\:y\:=\: -30°}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

An exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

[tex] 40° = 70° + y[/tex]

[tex]➪ \: y= 40° - 70°[/tex]

[tex]➪ \: y = - 30°[/tex]

Also,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

[tex]y[/tex] + [tex]x[/tex] = [tex]180°[/tex]

[tex]➪ \: -30° + x= 180°[/tex]

[tex]➪ \:x = 180° + 30°[/tex]

[tex]➪ \:x = 210°[/tex]

[tex]\sf\purple{Therefore,\:the\:measures \:of\:the\:unknown\:angles\:are\:"x=210°"\:and\:"y=-30°.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

What is the range of g(x) = -2 [X + 3] + 2? ​

Answers

Answer:

A.

Step-by-step explanation:

When x = -3 g(x) = + 2 and this is the maximum value of g(x).

All other values of x give a value of g(x) < 2.

The range is (-∞, 2]

help pleaseeee it’s timed!!!

Answers

Answer:

C

Step-by-step explanation:

The solution triangle is attached below :

Tonobtinnthe Angle formed, θ; we apply trigonometry ;

Using ;

Cos θ = Adjacent / hypotenus

Cos θ = 4 / 7

θ = Cos^-1(4/7)

θ = 55.15°

θ = 55°

a bag contains 5white and 3red identical balls.if the balls are drawn at random after the other without replacement. what is the probability that the first red ball is picked at fifth draw​

Answers

Answer:

2/7

Step-by-step explanation:

230 kids took a survey and 111% like gym how many kids like gym

Answers

Answer:

255.3 people

If you mean 11%, then:

25.3 people

Step-by-step explanation:

[tex]\frac{y}{230} :\frac{111}{100}[/tex]

y × 100 = 230 × 111

100y = 25530

100y ÷ 100 = 25530 ÷ 100

y = 255.3

If you mean 11%, then:

[tex]\frac{y}{230} :\frac{11}{100}[/tex]

y × 100 = 230 × 11

100y = 2530

100y ÷ 100 = 2530 ÷ 100

y = 25.3

I need help with this math problem please

Answers

It’s D

have a great day!

photo attached below :)

Answer:

option D

Step-by-step explanation:

[tex]9x^2 + 6x - 17 = 0 , \ where \ a = 9 \ , \ b = 6 \ , c = - 17[/tex]

[tex]x = \frac{ - b \ \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{-6 \pm \sqrt{36 - (4 \times 9 \times -17)}}{2 \times 9}\\\\x = \frac{-6 \pm \sqrt{ 36 + 612}}{18}\\\\x = \frac{-6 \pm \sqrt{ 648}}{18}\\\\x = \frac{-6 \pm \sqrt{ 2^3 \times 3^4}}{18}\\\\x = \frac{-6 \pm \sqrt{2 \times 2^2 \times 3^ 4 }}{18}\\\\x = \frac{-6 \pm ( 2 \times 9 )\sqrt{ 2}}{18}\\\\x = \frac{-6 \pm 18\sqrt{2}}{18}\\\\x = \frac{-1 \pm 3 \sqrt{ 2}}{3}[/tex]

Refer to the Lincolnville School District bus data. Information provided by manufacturers of school buses suggests the mean maintenance cost per year is $4,400 per bus with a standard deviation of $1,000. Compute the mean maintenance cost for the Lincolnville buses. Does the Lincolnville data seem to be in line with that reported by the manufacturer? Specifically, what is the probability of Lincolnville’s mean annual maintenance cost, or greater, given the manufacturer’s data?

Answers

Answer:

Step-by-step explanation:

Add all of the Maintenance costs up, divide by 80. (the number of costs).

Excel formula =SUM(F2:F81)  364151.00/80 = 4551.8875 Rounded to 4552 is your answer.

Which system of linear inequalities is represented by
the graph?
+
oyz_x+3 and 3x – y> 2
o ye}x+3 and 3x –y> 2
o y }x+3 and 3x + y> 2
O ya 4x+3 and 2x-y> 2

Answers

Answer:

o ye}x+3 and 3x –y> 2 system of linear inequalities is represented by the graph.

PLEASE LET ME KNOW IF ¡ AM WRONG!

The system of linear inequalities represented by the graph is

y ≥ (1/3)x + 3 and 3x - y  > 2

Option A is the correct answer.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =≤

Greater than and equal = ≥

We have,

We see that,

When we graph,

y ≥ (1/3)x + 3 and 3x - y  > 2 we get the graph shown.

y ≥ (1/3)x + 3

This inequality is positive on the y-axis.

3x - y  > 2

3x > 2 + y

This inequality is positive on the x-axis.

Thus,

The system of linear inequalities represented by the graph is

y ≥ (1/3)x + 3 and 3x - y  > 2

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

A ream of a certain brand of paper weighs about 4.533 pounds. A ream contains 500 sheets of paper. How much does a sheet of paper​ weigh?

Answers

Step-by-step explanation:

As a ream or

500

sheets of paper weigh

4.818

pounds

One sheet of paper weighs

4.818

500

=

0.009636

pounds.

It is apparent that pound is too big a unit for a sheet of paper.

As each pound has

16

ounces, one can say

one sheet of paper weighs

0.009636

×

16

=

0.154176

ounces.

If ounce is too big, as we have

1

pound equal to

28.34952

grams

one sheet of paper weighs

0.154176

×

28.34952

4.371

grams

please mark as brainliest

the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initial value problem for the population p(t) as a function of time is

Answers

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is [tex]P(0) = 1000[/tex]

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

[tex]\frac{dP}{dt} = kP[/tex]

In which k is the growth rate.

By separation of variables, the solution is given by:

[tex]P(t) = P(0)e^{kt}[/tex]

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is [tex]P(0) = 1000[/tex]

PLEASEEEEEE HELPPPPPP IM BEGGGGINGGG SOMEONE PLEASEEEEE PLEASEEEEEEE​

Answers

The answer is 140.

Interior angles equal 180…so 180-120-20= 40. 40 is your x value. Angles on a straight line equal 180, so 180-40=140.

Answer:

x+120°+20°=180°[ sum of interior angle of triangle]

x+140°=180°

x=40°

then,

x+y= 180°[being straight line]

40°+y= 180°

y=140°

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The New Fund had average daily assets of $2.2 billion in the past year. New Fund's expense ratio was 1.1% and the management fee was .7%.a. What were the total fees paid to the fund's investment managers during the year?b. What were the other administrative expenses? Read the following hypothetical social situations. There are some types of groups and relationships depicted in these situations. Now your task is to read and analyze the situations given below thoroughly and answers the following questions;Situation one:Talha belongs to Faisalabad city. He intends to take admission in Engineering after completing his F.Sc with A grade. In order to get admission in engineering, he travels from Faisalabad to Lahore. As the bus was late, so, he waited for bus in passenger lounge. During his journey in bus, he met two young boys one of them was doctor and other was an engineering student. During their discussion, the boy who was already getting engineering education told Talha that he studies at University of Engineering and Technology. He also told him that one of his teachers Mr. Ehsan in electrical engineering department is a very good teacher and he idealizes him due to his knowledge and teaching methodology. Ultimately Talha decides to take admission in the same university and in the same department.Situation Two:A match was held at Lawrence cricket ground in Lahore city between department of management and computer sciences of Virtual university of Pakistan. Twelve players were selected from each department to play the match and rest enjoyed the match as audience. For prize distribution ceremony, famous cricketer Wasim Akram was invited who gave trophy to the winning team.Situation Three:Ahmed lives in a joint family system, his mother and paternal aunts look after all the household chores together. Ahmed celebrates different events with all his cousins collectively. They all love their grandfather and grand mother and give them respect. Ahmads three uncles run their own businesses whereas one uncle is a lawyer. Ahmeds father also wants him to involve in business but Ahmed is very much impressed by his uncle (lawyer) as he likes this field. Sometimes he visits his uncles office and observes his dealings with clients. In future he aims to have a degree of Bar-at-Law from England like Questions:QuestionName individuals group identity and type of groups presented in each case. Give logical reasons for the selected groups from sociological perspective ? Find Trig Ratios (with Radicals) find'x' 2log_5x = 1+log_5(x-6/5) Environmental researchers have collected rain acidity data for several decades. They want to see if there is any evidence that attempts to reduce industrial pollution have produced a trend toward less acidic rainfall. They should display their data in a(n)... a. Bar graph b. Time plot c. Histogram d. Box plot Can Danel be regarded as a monopoly in South Africa The volume of a cube is 448cm3.Work out the length of its side rounded to 1 DP. Please hellp The length of a rectangle is 5 less thanthe width. Which polynomial describesthe area of the rectangle? Can Algorithms Be Used Again? which statement best describes how the washington times introduces the earthquake in the first article PLEASE HELP!!!!!!!!!! Need helppp pls!!!! se4 Shonda is hanging pictures on awall in her home. She has pictureswith areas of 16 square inches and25 square inches. She hangs a totalof 7 pictures which covers 148square inches of wall space. Let x bethe number of pictures with an areaof 16 square inches and y be thenumber of pictures with an area of25 square inches. please help me and explain Leonard is creating disaster recovery documents for his company's online operations. He is documenting metrics for a measurable SLA that outlines when you can expect operations to be back online and how much data loss can be tolerated when recovering from an outage. Which metrics is he documenting Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth. . Esta se encuentra constituido por un conjunto de comunidades? Select the correct pronoun,That's the girlpicture you sew in the newspaper,who'swhosewhos Earth is the third planet from the Sun, with an average distance of93,000,000 miles. It takes light about 8 minutes to travel from the Sunto Earth.Pluto, a dwarf planet, has an average distance of 3.7 X10 milesfrom the Sun. How many times farther from the Sun is Pluto thanEarth? How long does it take light to reach Pluto? Two workers paint lines for angled parking spaces. One worker paints a line so that m1=65. The other worker paints a line so that m2=65. Are their lines parallel? Explain your answer.