Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic theories, also enjoyed trout fishing, ballet and fine wines. He won the 1973 Nobel Prize in economics for his work in creating mathematical models to describe various economic phenomena. In the remainder of this lab we will look at a very simple special case of his work called a closed exchange model. Here is the premise: Suppose in a far-away land of Eigenbazistan, in a small country town called Matrixville, there lived a Farmer, a Tailor, a Carpenter, a Coal Miner and Slacker Bob. The Farmer produced food; the Tailor, clothes; the Carpenter, housing; the Coal Miner supplied energy; and Slacker Bob made High Quality 100 Proof Moonshine, half of which he drank himself. Let us make the following assumptions:

Everyone buys from and sells to the central pool (i.e. there is no outside supply and demand). Everything produced is consumed. For these reasons this is called a closed exchange model. Next we must specify what fraction of each of the goods is consumed by each person in our town. Here is a table containing this information:

Food Clothes Housing Energy High Quality 100 Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.2
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.1
Coal Miner 0.2 0.15 0.2 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.5

So for example, the Carpenter consumes 22% of all food, 19% of all clothes, 22% of all housing, 22% of all energy and 10% of all High Quality 100 Proof Moonshin. The columns in this table all add up to 1. Explain why this happens.

Answers

Answer 1

Answer:

The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed.  There is no leftover.

When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.

Step-by-step explanation:

a) Data and Calculations:

                        Food   Clothes  Housing  Energy  High Quality 100

                                                                                Proof  Moonshine

Farmer             0.25      0.15       0.25        0.18            0.20                    

Tailor                0.15      0.28       0.18         0.17            0.05

Carpenter        0.22      0.19       0.22        0.22           0.10

Coal Miner       0.20      0.15       0.20        0.28           0.15

Slacker Bob     0.18      0.23        0.15        0.15            0.50

Total                 1.00      1.00        1.00         1.00            1.00


Related Questions

Find the slope of the line that passes through the points (2,8) and (6,8).

Answers

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8 i thinkkk

Step-by-step explanation:

Answer:

8-8/6-2

0/4

answer is 0

y=0x+c

8=0(2)+c

8=0+c

8=c

y=0x+8

Step-by-step explanation:

What is the value of the square root of 2 to the third decimal place?

Answers

Answer:

1.414

Step-by-step explanation:

which values are solutions to the inequality below? check all that apply √x > 4

A.) 17
B.) 8
C.) 15
D.) 13
E.) 19
F.) 4

Answers

Answer: F 4
Explanation: I hope this helps you with your stuff I really do think that this is it
F.) 4 ❤️❤️❤️I’m sorry if I’m wrong

cual es el resultado de simplificar. Adjunto foto

Answers

Answer:

⣿⣯⣿⣟⣟⡼⣿⡼⡿⣷⣿⣿⣿⠽⡟⢋⣿⣿⠘⣼⣷⡟⠻⡿⣷⡼⣝⡿⡾⣿ ⣿⣿⣿⣿⢁⣵⡇⡟⠀⣿⣿⣿⠇⠀⡇⣴⣿⣿⣧⣿⣿⡇⠀⢣⣿⣷⣀⡏⢻⣿ ⣿⣿⠿⣿⣿⣿⠷⠁⠀⠛⠛⠋⠀⠂⠹⠿⠿⠿⠿⠿⠉⠁⠀⠘⠛⠛⠛⠃⢸⣯ ⣿⡇⠀⣄⣀⣀⣈⣁⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⠈⠀⣀⣁⣀⣀⡠⠈⠉ ⣿⣯⣽⡿⢟⡿⠿⠛⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠈⢠⣴⣾⠛⠛⠿⠻⠛⠿⣷⣶ ⣿⣿⣿⠀⠀⠀⣿⡿⣶⣿⣫⠉⠀⠀⠀⠀⠀⠀⠀⠈⠰⣿⠿⠾⣿⡇⠀⠀⢺⣿ ⣿⣿⠻⡀⠀⠀⠙⠏⠒⡻⠃⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠐⡓⢚⠟⠁⠀⠀⡾⢫ ⣿⣿⠀⠀⡀⠀⠀⡈⣉⡀⡠⣐⣅⣽⣺⣿⣯⡡⣴⣴⣔⣠⣀⣀⡀⢀⡀⡀⠀⣸ ⣿⣿⣷⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢾⣷⣿ ⣿⣿⣟⠫⡾⠟⠫⢾⠯⡻⢟⡽⢶⢿⣿⣿⡛⠕⠎⠻⠝⠪⢖⠝⠟⢫⠾⠜⢿⣿ ⣿⣿⣿⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⣰⣋⣀⣈⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⢸⣿ ⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿ ⣿⣿⣿⣿⣦⡔⠀⠀⠀⠀⠀⠀⢻⣿⡿⣿⣿⢽⣿⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠘⠛⢅⣙⣙⠿⠉⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣅⠀⠓⠀⠀⣀⣠⣴⣺⣿⣿⣿⣿⣿⣿⣿⣿

Step-by-step explanation:

i nu speak that language

5x5x5x5= ______ to the power of _____

Answers

Answer:

5 4

Step-by-step explanation:

its fristly 5

ok then bb

Answer:

5x5x5x5=625

Step-by-step explanation:

Integrate [tex]e^{4x}\sqrt{1+e^{2x} } dx[/tex] please show work so i can learn

Answers

Answer:

[tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]

Step-by-step explanation:

Step(i):-

Given that the function

                    f(x) = [tex]e^{4x} \sqrt{1+e^{2x} }[/tex]

Now integrating on both sides, we get

                 [tex]\int\limits{f(x)} \, dx = \int\limits{e^{4x} \sqrt{1+e^{2x} } dx[/tex]

                               =    [tex]\int\limits{e^{2x} e^{2x} \sqrt{1+e^{2x} } dx[/tex]

                         

Step(ii):-

  Let  [tex]1 + e^{2x} = t[/tex]

           [tex]e^{2x} = t -1[/tex]  

          [tex]2e^{2x}dx = d t[/tex]

          [tex]e^{2x}dx = \frac{1}{2} d t[/tex]

                = [tex]\int\limits{( \sqrt{1+e^{2x} }) e^{2x} e^{2x} dx[/tex]

                  = [tex]\int\limits {\sqrt{t}(t-1)\frac{1}{2} dt }[/tex]

                 = [tex]\frac{1}{2} \int\limits {\sqrt{t} (t) -\sqrt{t} ) dt }[/tex]

                = [tex]\frac{1}{2} \int\limits {(t^{\frac{1}{2} } t^{1} +t^{\frac{1}{2} } ) } \, dx[/tex]

                [tex]= \frac{1}{2} \int\limits {(t^{\frac{3}{2} } +t^{\frac{1}{2} } ) } \, dx[/tex]

               = [tex]\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{3}{2}+1 } + \frac{t^{\frac{1}{2} +1} }{\frac{1}{2}+1 } )+C[/tex]

              =  [tex]\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{5}{2} } + \frac{t^{\frac{1}{2} +1} }{\frac{3}{2} } )+C[/tex]

             = [tex]\frac{1}{2} (\frac{t^{\frac{5}{2} } }{\frac{5}{2} } + \frac{t^{\frac{3}{2} } }{\frac{3}{2} } )+C[/tex]

            = [tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]

Final answer:-

= [tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]

             

Solve the triangle. A = 32°, a = 19, b = 14 (1 point) B = 23°, C = 125°, c ≈17.6 Cannot be solved B = 23°, C = 125°, c ≈29.4 B = 23°, C = 145°, c ≈23.5

Answers

Answer:

The answer is below

Step-by-step explanation:

Given the triangle with: A = 32°, a = 19, b = 14

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

Given, that for triangle ABC; A = 32°, a = 19, b = 14. therefore:

[tex]\frac{a}{sinA}=\frac{b}{sinB}\\\\\frac{19}{sin(32)}=\frac{14}{sin(B)}\\\\sin(B)=\frac{14*sin(32)}{19} \\\\sin(B)=0.39\\\\B=sin^{-1}(0.39)\\\\B=23^o[/tex]

A + B + C = 180° (sum of angles in a triangle)

32 + 23 + C = 180

55 + C = 180

C = 180 - 55

C = 125°

[tex]\frac{a}{sin(A)}=\frac{c}{sin(C)}\\\\\frac{19}{sin(32)}=\frac{c}{sin(125)} \\\\c=\frac{19*sin(125)}{sin(32)} \\\\c=29.4[/tex]

Answer:

B = 23°, C = 125°, c ≈29.4

Step-by-step explanation:

Please help! Algebra hw! Hrw

Answers

Answer:

x^9 -20x^7 -6x^3 3x^2 13

Step-by-step explanation:

Standard form for polynomials is to order the degrees of the number from highest to lowest, left to right. So, knowing this, we can infer that it goes x^9 - 20x^7 - 6x^3 + 3x^2 + 13. The degree is 9 (highest exponent), and the leading coefficent (number in front of/multiplying highest degree var) is 1.

Answer: (x^9)+(-20x^7)+(-6x^3)+(3x^2)+13

Step-by-step explanation:

Standard form would just be to organize the polynomial in descending order of the degree (..._^3+_^2+_^1+constant)

In the proportion x/5= 15/3 which number is equal to x in the proportion? ​

Answers

Answer:
x = 25
Step-by-step explanation:
We are given a word phrase:
In the proportion x over 5 equals 15 over 3 , which number is equal to x in the proportion?
So we will translate it to make it easier to solve.
Proportion x over 5 --->
equals ---> =
15 over 3 --->
Combining them, we get:

Solving this for x using cross multiplication:

After a 65% ​reduction, you purchase a new clothes dryer on sale for ​$189. What was the original price of the clothes dryer ​?

Answers

Answer:

$122.85

Step-by-step explanation:

65/100 x 189 = $122.85

The original price of the clothes dryer would be 311.85

(a) What is wrong with the following equation? x2 + x − 42 x − 6 = x + 7 (x − 6)(x + 7) ≠ x2 + x − 42 The left-hand side is not defined for x = 0, but the right-hand side is. The left-hand side is not defined for x = 6, but the right-hand side is. None of these — the equation is correct. (b) In view of part (a), explain why the equation lim x → 6 x2 + x − 42 x − 6 = lim x → 6 (x + 7) is correct. Since x2 + x − 42 x − 6 and x + 7 are both continuous, the equation follows. Since the equation holds for all x ≠ 6, it follows that both sides of the equation approach the same limit as x → 6. This equation follows from the fact that the equation in part (a) is correct. None of these — the equation is not correct.

Answers

Answer:

Attached please find answer

Step-by-step explanation:

= (x² + x - 42) / (x - 6)

= [x² + (7x - 6x) - 42] / (x - 6)

= [x² + 7x - 6x - 42] / (x - 6)

= [(x² + 7x) - (6x + 42)] / (x - 6)

= [x(x + 7) - 6(x + 7)] / (x - 6)

= [(x + 7)(x - 6)] / (x - 6)

= x + 7 → when x approches 6

= 6 + 7

= 13

Other method:

Lim   (x² + x - 42) / (x - 6)

x→ 6

When x → 6, there is an indeterminate expression because: 6 - 6 = 0

Do you know the l'Hôpital's rule, when x → a:

Lim [ f(x) / g(x) ] = Lim [ f'(x) / g'(x) ]

f(x) = x² + x - 42

f'(x) = 2x + 1

g(x) = x - 6

g'(x) = 1

= f'(x) / g'(x)

= (2x + 1)/1

= 2x + 1 → when x approches 6

= 12 + 1

= 13

Brainiest if right so pls solve down below!

Answers

9514 1404 393

Answer:

  D)  54

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  2[(x -1) +2xy]

  = 2[(4 -1) +2(4)(3)]

  = 2[3 +24]

  = 2(27) = 54 . . . . matches choice D

Answer:

54

Step-by-step explanation:

We know that:

Given expression: 2[(x - 1) + 2xy]x = 4y = 3

Solution:

2[(x - 1) + 2xy]=> 2[(4 - 1) + 2(4)(3)]=> 2[3 + 2(4)(3)]=> 2[3 + 24]=> 2[27]=> 54

Hence, Option D is correct.

Mia went to the art store and bought 2 poster boards and 3 markers. She spent A total of $6.50. The total tax was $1.25. How much did each marker cost? *

Answers

The answer is $1.05 but this is only right if the posters cost the same amount as the markers.

FreshFoods has 12 carrots for $4. How would you find the cost of 1 carrot?

Answers

4 divided by 12. 4/12 = .33 cents per carrot

m^2+5=14
[tex] {x}^{2} [/tex]
x2+5=14

Answers

Answer:

okeed

Step-by-step explanation:

0.62 as a percent
(STEP BY STEP)

Answers

Answer:

0.62 = 0.62 × 100/100 = (0.62 × 100)/100 = 62/100 = 62%;

In other words:

1) Multiply that number by 100.

2) Add the percent sign % to it.

Answer:

62%

Step-by-step explanation:

You would take the decimal and move it to the right two spaces then add the percent sign in replace of the decimal.

.62 → 6.2 → 62. → 62%

Hope this helps!

A circle has a diameter of 4 meters.

What is its perimeter (to the nearest hundredth)?

What is its area (to the nearest hundredth)?
m^2

Answers

Answer:

Step-by-step explanation:

r = d/2

r = 4/2

r = 2

pi = 3.14

Circumference = 2 * pi * r

Circumference = 2 * 3.14 * 2

Circumference = 12.56

Area = pi r^2

Area = 3.14 * 2^2

Area = 4 * 3.14

Area = 12.56

​100 centimeters = ​
meter


How much meter's do it equals?

Answers

Answer:

100 centimeters=1.0 meters

Step-by-step explanation:

hope this helps

Answer:

100

Step-by-step explanation:

One centimeter is equivalent to [tex]\frac{1}{100}[/tex] of a meter. This means that 100 centimeters are in a meter.

Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)

Answers

Answer:

Circ=37.704, Area= 112.112

Step-by-step explanation:

Circumference= pi *Diameter

Taking pi=3.142, Diameter=12

Circ=3.142*12=37.704

Area= pi * r^2

Area= 3.142*6*6=112.112

What is the value of the expression 6 +5. (8 = 2)2? ​

Answers

Answer:

The answer is 22

Step-by-step explanation:

might be wrong so I would wait for someone else to also answer.


Write an equation to solve for the number of days it would take to reach 1,000 cases.

How many days will it take to reach 1000 cases? SHOW WORK BELOW

Answers

Answer:

5.2x31 = 161.2

161.2+225=386.2

386.2+540=926.2

1000-926.2=73.8

73.8÷5.2=14.2

So, 14th August

Write 34% as a fraction or mixed number in simplest form

Answers

17/50 = 34% Hope this helped

help me with this question​

Answers

Rate of change is -3/1

Answer:

-3

Step-by-step explanation:

Rise over run is slope or rate of change

-6/2=-3

Please show all of your work for this!

Answers

Answer:

17 units

Step-by-step explanation:

BE is midsegment of ACDF

BE = 1/2(CD + FA)2(3x + 3) = 6x - 16 + 4x - 106x + 6 = 10x - 2610x - 6x = 6 + 264x = 32x = 8

Similarly, FA is midsegment of BEZW

FA = 1/2(BE + WZ)WZ = 2FA - BEWZ = 2(4x - 10) - (3x + 3)WZ = 8x - 20 - 3x - 3WZ = 5x - 23

Substitute x with 8:

WZ = 5*8 - 23 = 40 - 23 = 17

The answer is 132 ft

Answers

Answer:

Lol, thank you for telling me this information..

Sales tax is 7% What will be the sales tax on a purchase of 28.95

Answers

Answer:

7%=$2.03

$28.95+$2.03=$30.98

I am not 100% sure but it is better than nothing.

The answer is $2.0265

Please help! I will give brainliest.!!

Answers

Answer:

1

Step-by-step explanation:

They are all being multiplied by 3.

1x3=3

5x3=15

6x3=18

9x3=27

Answer:

y=1

Step-by-step explanation:

5x3=15

5,10,15

3,6,9,12,15

6x3=18

6,12,18

3,6,9,12,15,18

9x3=27

9,18,27

3,6,9,12,15,18,21,24,27

| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |10   |

|2 | 4 | 6 | 8 |10| 12|14| 16| 18|20  |

|3 | 6 | 9 |12| 15| 18|21|24|27|30  |

|4 | 8 |12 |16|20|24|28|32|36|40 |

|5 |10|15 |20|25|30|35|40|45|50 |

|6 |12|18 |24|30|36|42|48|54|60  |

|7 |14|21 |28|35|42|49|56|63|70   |

|8 |16|24|32|40|48|56|64|72|80   |

|9 |18|27 |36|45|54|63|72|81|90   |

|10|20|30|40|50|60|70|80|90|100|

Hope the chart and everything helps!

kahn academy graph
y= -4/3x+8

Answers

Answer:

First point should be on the y axis, 8. Then you would have to go down 4 and to the right 3.

Step-by-step explanation:

Leo traveled to the store at a constant speed, and when he returned, he graphed his motion to show the distance he traveled compared to the time he traveled. Which graph could Leo use to show his trip to the store

Answers

Answer:

A

Step-by-step explanation:

Took the test

What is an equation of the line that passes through the points (-7, -7)and (-7, 4)?

Answers

Answer:

It is 7 because it both has the same answer

Answer:

Hi! The correct answer is x= -7

Step-by-step explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.

Other Questions
Consider the definition of the Person class below. The class uses the instance variable adult to indicate whether a person is an adult or not.public class Person{private String name;private int age;private boolean adult;public Person (String n, int a){name = n;age = a;if (age >= 18){adult = true;}else{adult = false;}}}Which of the following statements will create a Person object that represents an adult person?a. Person p = new Person ("Homer", "adult");b. Person p = new Person ("Homer", 23);c. Person p = new Person ("Homer", "23");d. Person p = new Person ("Homer", true);e. Person p = new Person ("Homer", 17); What is the value for x?2/6 = x/12 Evaluate each expression 3^3 Do you pay to drink from the water fountains at school? Explain why the water is not really free by stating who actually pays for it Help me please this is dew by the end of the day Three out of nineteen students will ride in a car instead of a van. How many ways can those three students bechosen? Use the following formula.n!rC(n, r) = r!(n-1)! In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than twice the numbersent. How many were sent and how many were received each day? Question 10 (5 points)CAUSEDesire to turn U.S. citizens against GermanyEFFECTWhich of the following government agencies would complete the chart? (5 points)OaWar Industries Board.ObSelective Service ActThe National War Labor BoarddCommittee of Public Informat Which of the following statements best reflects a price-taking firm? a The firm has an incentive to charge less than the market price to earn higher revenue b If the firm were to charge more than the going price, it would sell none of its goods c The firm can sell only a limited amount of output at the market price befo describe how the events of the poem take him from being an outsider to feeling accepted in his new community As an estimation we are told 5 miles is 8km. Convert 44km to miles What is the solution to 3x+2=x+8 can someone please help or explain What is the ratio of the calories Robynburned on Wednesday le the celories sheburned on Monday? 7= -5xSelect one:O1. Multiply each side by 5.O2. Multiply each side by -5.O3. Multiply each side by 1/5.04. Multiply each side by -1/5. Does the tablets shown a proportional relationship? If so, what is the value of y when x is 10? This one too, again if you dunno it dont anwser xd Which phrase is the best description of a space probe?A. A telescope that allows you to see the Sun's surfaceB. A rocket that has a very large amount of thrustC. A spacecraft that can carry people to the MoonD. An exploratory spacecraft that does not carry people Do you think that what you eat actually affects your performance including your energy level? Why? Dig for it when it's time to prepare for a birthday