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The above graph shows the bundle of goods per day and free time per day in a country between 1900 and 2013

Answer all questions in this word document. The exam is open book, and so you are welcome to consult any and all non-human sources. However, to be clear, answers cannot be copied and pasted from anywhere else: this will be considered plagiarism and will result in no points being awarded, as will copying answers from other students If you are having trouble uploading to Canvas, please send your exam by e-mail. All questions are worth 5 points unless otherwise indicated and the exam is out of 200 total points. Good Luck!

Using the model to explain historical change : We can interpret the change between 1900 and 2013 in daily free time and goods per day for employees in the US using our model. The solid lines show the feasible sets for free time and goods in 1900 and 2013, where the slope of each budget constraint is the real wage.

1. The above graph shows the bundle of goods per day and free time per day in a country between 1900 and 2013. When thinking about the difference between 1900 and 2013, which effect is more important on net, the income effect or the substitution effect?

2. What is the definition of conspicuous consumption?

3. Let’s say a country implemented legislation legalizing unions and employment rose. What would we call that phenomenon, and how could we explain it?

4. Let’s say a country implemented a law legalizing labor unions and labor unions became common. Subsequently, employment fell. Based on what you learned in class, what would we call that phenomenon, and how could we explain it?

5. The COVID-19 pandemic clearly had detrimental effects on the economy in 2020. In the 1300s, what was the effect (if any) on wages from the Black Death? Why?

6. What made the Industrial Revolution different than the period of human history that preceded it?

7. What was the first country to experience the Industrial Revolution?

8. If the poorest 10% make half as much as the richest 10% of the population, what is the 90-10 ratio?

9. If British income per capita goes from 3,453 in 2000 to 4,927 in 2001, what is the growth rate of income in that year?

10. Catherine gets a raise at work. She decides to work more as a result to earn more money. What effect does this describe? Why?

11. Juan gets a raise at work. He decides to spend more time with his family since he’s making more money anyway. What effect does this describe? Why?

12. If the wage is unchanged and unemployment benefits rise, what happens to worker effort? Why?

13. If the unemployment rate rises, what happens to the wage-setting curve? Why?

14. If the coronavirus makes it more costly to trade goods internationally, would that tend to move the economy towards autarky (where all goods are produced and consumed in the same country and there is no international trade) or would it move the economy closer to Ricardo’s vision of international trade? Why?

15. If the price of soda is $90, and the marginal cost is $70, what is the markup?

16. What is the relationship between the markup and the elasticity of demand in general?

17. It will help you in this question to refer to your answers to the previous two questions (Questions 15 and 16) as you will need the answers from these questions to answer this one. What is the elasticity of demand for soda?

18. What is the marginal rate of substitution (MRS)?

19. What is the marginal rate of transformation (MRT)?

20. What is true about the relationship between MRS and MRT when a firm maximizes profits?

21. In the above graph, what is the consumer surplus in a market economy where 10 cars are sold?

[Hint, the area of a triangle is 0.5*base*height]

22. In the above graph, what is the producer surplus in a market economy where 10 cars are sold?

[Hint, the area of a triangle is 0.5*base*height]

23. What are economic institutions?

24. Why do economic institutions matter?

25. What is disposable income?

26. What is the definition of Nominal GDP?

27. Take an economy, Quarantine, where only two goods are produced: toilet paper, and hand sanitizer. Is there are 18 rolls of toilet paper sold for $1 each and 20 packs of hand sanitizer sold for $5 each, what is nominal GDP in Quarantine?

Let’s say that the government nationalizes production of these two goods, so that the government now produces 36 rolls of toilet paper (where 18 were produced before) and now produces 40 packs of hand sanitizer (where 20 were produced before), but there are no prices assigned as there is now no buyer and no seller.

28. [10 points] Given this information, can we know what happens to nominal GDP in Quarantine? If so, how much larger is nominal GDP now?

29. [10 points] Given this information, can we know what happens to Real GDP in Quarantine? If so, how much larger is real GDP now?

30. What happens to firm profits if a firm introduces a cost-saving innovation?

31. How does a market economy incentivize firms to adopt new technologies?

32. Explain how cheap coal could be one factor that led to England being the first place to experience the Industrial Revolution.

33. Explain how high wages could be one factor that led to England being the first place to experience the Industrial Revolution.

34. How can countries escape the Malthusian trap?

35. What is opportunity cost?

36. What is the principal-agent problem?

37. What kind of firms are most likely to have a separation of ownership and control?

38. What kind of principal-agent problem(s) does the separation of ownership and control introduce?

39. In the Malthusian Model, let’s supposed that incomes rise because of a new technological discovery. What happens to?

a) The birth rate in the short-run?

b) The birth rate in the long-run?

c) The death rate in the short-run?

d) The death rate in the long-run?

40. Let’s say that Andy can produce 30 apples per hour and 60 bananas per hour and Leslie can produce 60 apples per hour and 60 bananas per hours. Assume that each of them works a 10-hour day.

a) Start in autarky, with Andy and Leslie each spending half their time producing apples, half their time producing bananas, and each of them eating all of their own fruit. How much does each one produce?

b) What is Andy’s comparative advantage? What is Leslie’s comparative advantage?

c) Now assume they specialize in producing the good which they have a comparative advantage in exclusively and they produce none of the other good. How much do they each produce?

d) How much more apples are produced relative to autarky? How many more bananas?

Extra Credit [20 points]:

Using Microsoft Word’s shapes/lines/graphing features (or another alternative which is clear and convenient for me to read), draw a graph of the wage setting curve and price setting curve determining the level of employment and unemployment. For full credit, label the graph fully. As a reminder, you cannot copy and paste here

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description explaining what information this graph represents and how it communicates its information

1. What’s Going on in this Graph?

One of the main ways information is presented is through graphs, in fact, Data Visualization is an emerging career for people who like to creatively take information and turn it into pictures.  The goal of this question is to read, interpret, describe, and analyze information presented in graphical form.

Under the link below, there are links to lots of various graphs from a New York Times column called “What’s Going on in this Graph?”

https://www.nytimes.com/column/whats-going-on-in-this-graph

Your job is to choose one graph that you think looks interesting (if you scroll down further on the page, there are lots to choose from).  Read the article attached to the graph and answer the following questions about your graph.

When you’re answering these questions, keep in mind that you should be writing to explain and teach your reader about your ideas.

Describe the Graph

1. First, write a description explaining what information this graph represents and how it communicates its information.  (Think of this task as explaining what the graph looks like and what information the graph shows to someone who has not seen the graph.)

2.  What quantitative (numerical) information does this graph describe?

 3. Describe two quantitative variables not shown in the graph that you think would be interesting to measure.

4. What qualitative (categorical) information does this graph describe?

 5. Describe two qualitative variables not shown in the graph that you think would be interesting to measure.

Interpret the Graph

1. What do you think the graph’s author’s main point is? What is the main idea you think they are trying to convey to the reader?

2. Describe two possible choices that the author made that could bias the reader’s interpretation of the information presented.  What might the reader be led to believe by these choices?

3. What is the title of the article containing the graph? Do you think this has any effect on the reader’s perception of the information presented? 

4. Describe a possible way (other than the title) that the graph’s presentation may bias the reader’s perception.

Comment on the Graph

1.What do you find effective about the data display? That is, what features of the graph do you think help get the information across the best?

2.What is confusing about the data display?

3. Describe one thing you might do differently if you were making this graph.

2).  2. Experimental Design

The goal of this part of this assignment is to think about the pieces of an experiment.  Below, I’ve described three scenarios in which we could design an experiment.  I have purposefully left many of the choices of the experiment up to you, the experiment designer!  Throughout your descriptions, be sure to explain your thoughts and choices about your experiment to your reader.

Choose one of these scenarios, then follow the Tasks below to brainstorm, design, and reflect on your choices.

Scenarios

i. You are curious about how eating breakfast affects a person’s mind and body.  

For concreteness, let’s assume that Breakfast is a meal that participants would eat (or not eat) at 9 a.m., and you would make your proposed measurements about their mind and/or body at 11 a.m.

ii.  You are a consultant for various restaurants nationwide as they design and format their menus.  You are curious to find out how the menu design and formatting choices affect how much money the restaurant makes.

iii.  You are curious to find out how testing-room conditions affect one’s ability to take a test.    You will get participants to take a test of critical-thinking puzzles that have no preparatory studying or previous experience required.

Tasks

1. Brainstorm 4 possible factors that would be easy to manipulate in this experiment.  Choose 2 that you think are the most interesting to think about.  For each factor, choose 3 levels you want to include for each factor.

2. Brainstorm 2 possible factors that would be difficult to manipulate. Then choose one of those as a blocking variable.

3. Brainstorm 3 possible response variables you could measure.

4. Draw a blocking diagram for this experiment showing the blocks and the treatment groups.

5. For the blocking variable and each of the factors that you chose, hypothesize about how you think they will affect your response variables.  That is, describe what effects (if any) you predict your explanatory variables will have on your response variables.

6. Identify 3 possible extraneous variables (that are not related to your explanatory variables) and discuss how each one might affect your results.  Do you think that the extraneous variable will exaggerate or obscure the connection between your explanatory variables and your response variables? Explain your thoughts

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Writers Solution

write a description explaining what information this graph represents and how it communicates its information

1. What’s Going on in this Graph?

One of the main ways information is presented is through graphs, in fact, Data Visualization is an emerging career for people who like to creatively take information and turn it into pictures.  The goal of this question is to read, interpret, describe, and analyze information presented in graphical form.

Under the link below, there are links to lots of various graphs from a New York Times column called “What’s Going on in this Graph?”

https://www.nytimes.com/column/whats-going-on-in-this-graph

Your job is to choose one graph that you think looks interesting (if you scroll down further on the page, there are lots to choose from).  Read the article attached to the graph and answer the following questions about your graph.

When you’re answering these questions, keep in mind that you should be writing to explain and teach your reader about your ideas.

Describe the Graph

1. First, write a description explaining what information this graph represents and how it communicates its information.  (Think of this task as explaining what the graph looks like and what information the graph shows to someone who has not seen the graph.)

2.  What quantitative (numerical) information does this graph describe?

 3. Describe two quantitative variables not shown in the graph that you think would be interesting to measure.

4. What qualitative (categorical) information does this graph describe?

 5. Describe two qualitative variables not shown in the graph that you think would be interesting to measure.

Interpret the Graph

1. What do you think the graph’s author’s main point is? What is the main idea you think they are trying to convey to the reader?

2. Describe two possible choices that the author made that could bias the reader’s interpretation of the information presented.  What might the reader be led to believe by these choices?

3. What is the title of the article containing the graph? Do you think this has any effect on the reader’s perception of the information presented? 

4. Describe a possible way (other than the title) that the graph’s presentation may bias the reader’s perception.

Comment on the Graph

1.What do you find effective about the data display? That is, what features of the graph do you think help get the information across the best?

2.What is confusing about the data display?

3. Describe one thing you might do differently if you were making this graph.

2).  2. Experimental Design

The goal of this part of this assignment is to think about the pieces of an experiment.  Below, I’ve described three scenarios in which we could design an experiment.  I have purposefully left many of the choices of the experiment up to you, the experiment designer!  Throughout your descriptions, be sure to explain your thoughts and choices about your experiment to your reader.

Choose one of these scenarios, then follow the Tasks below to brainstorm, design, and reflect on your choices.

Scenarios

i. You are curious about how eating breakfast affects a person’s mind and body.  

For concreteness, let’s assume that Breakfast is a meal that participants would eat (or not eat) at 9 a.m., and you would make your proposed measurements about their mind and/or body at 11 a.m.

ii.  You are a consultant for various restaurants nationwide as they design and format their menus.  You are curious to find out how the menu design and formatting choices affect how much money the restaurant makes.

iii.  You are curious to find out how testing-room conditions affect one’s ability to take a test.    You will get participants to take a test of critical-thinking puzzles that have no preparatory studying or previous experience required.

Tasks

1. Brainstorm 4 possible factors that would be easy to manipulate in this experiment.  Choose 2 that you think are the most interesting to think about.  For each factor, choose 3 levels you want to include for each factor.

2. Brainstorm 2 possible factors that would be difficult to manipulate. Then choose one of those as a blocking variable.

3. Brainstorm 3 possible response variables you could measure.

4. Draw a blocking diagram for this experiment showing the blocks and the treatment groups.

5. For the blocking variable and each of the factors that you chose, hypothesize about how you think they will affect your response variables.  That is, describe what effects (if any) you predict your explanatory variables will have on your response variables.

6. Identify 3 possible extraneous variables (that are not related to your explanatory variables) and discuss how each one might affect your results.  Do you think that the extraneous variable will exaggerate or obscure the connection between your explanatory variables and your response variables? Explain your thoughts

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What is the order of the graph?

Graph theory worksheet:

1.

· What is the order of the graph?

· What is the degree of vertex N?

· What is the degree of vertex G?

· How many components does the graph have?

2. Let a graph have vertices D,E,F,G,H,I and edge set {{D,E},{D,F},{D,G},{D,H},{E,I},{H,I}}.

a. Draw the graph.

b. What is the degree of vertex G?

c. What is the degree of vertex D?

d. How many components does the graph have?

3. Which of the following degree sequences are possible for a simple graph? 

a. (5,3,3,3,2,2)

b. (9,8,8,7,4,4,4,2,2,1)

c. (8,6,3,3,2,2,2,1)

d. (6,5,4,4,3,3,3)

4. You are a mail deliverer. Consider a graph where the streets are the edges and the intersections are the vertices. You want to deliver mail along each street exactly once without repeating any edges. Would this path be represented by a Euler circuit or a Hamiltonian circuit?

5. A telephone company employee needs to check the telephone lines hanging from telephone poles for a cut in the line over a grid of streets in a city without service. Would the path taken on a graph representing the situation be an Euler circuit or a Hamiltonian circuit?

6. Construct a simple graph with vertices C, D, E, F, G, H whose degrees are 2, 2, 2, 0, 2, 2. What is the edge set? Draw the graph.

7. Which of the following graphs are connected? 

a.

b.

c.

d.

8. How many k-cliques are there in K_n?

9. Check the graph below for any of the following: Euler path, Euler circuit, Hamiltonian path, Hamiltonian circuit. Do any apply, if so list them.

Diagram  Description automatically generated

10. Check the graph below for any of the following: Euler path, Euler circuit, Hamiltonian path, Hamiltonian circuit. Do any apply, if so list them.

A picture containing blur  Description automatically generated
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Construct the graph of this binary relation

Let’s define on the set {1, 5, 7, 10, 12} the relation is such that if and only if the number is divisible by 4 without remainder. Construct the graph of this binary relation. Check whether is reflexive, irreflexive, connected, symmetric, asymmetric, transitive, negatively transitive binary relation. Does this binary relation satisfy semitransitivity and strong intervality condition? Explain your answer (prove, if it is true, or provide a counterexample, if it not true).2. Prove that for any binary relation binary relations and are symmetric.3. Define the class (linear, weak, partial, interval order or semiorder) of these four binary relations from the picture below. If this binary relation belongs to several classes, write all of them.

4. A binary relation on a set of 6 elements contains 33 pairs. Can this binary relation be: a) symmetric, b) transitive? Prove or provide a counterexample.

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