# ECON 102 Tutorial: Week 11 Ayesha Ali office hours: 8:00AM – 8:50AM tuesdays LUMS.

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ECON 102 Tutorial: Week 11 Ayesha Ali www.lancaster.ac.uk/postgrad/alia10/econ102.html a.ali11@lancaster.ac.uk office hours: 8:00AM – 8:50AM tuesdays LUMS C85

Question 1 PointPensPencils A100 B5 C225

Question 1(a) PointPensPencils A100 B5 C225

Question 1(b) The table below shows the production possibilities for two products, pens and pencils. Calculate the opportunity cost of producing 1 additional pencil between points A and B. The opportunity cost of pencils between A and B is one pencil for half a pen. OP = (10-5)/(10-0) = ½ PointPensPencils A100 B5 C225

Question 1(c) The table below shows the production possibilities for two product, pens and pencils. Calculate the opportunity cost of producing 1 additional pen between points B and C. What conclusions can you come to about this opportunity cost compared to the calculation you made in part(a)? The opportunity cost of pens between B and C is one pen for five pencils. OP = (25-10)/(5-2)) = 5 This is a much higher opportunity cost than between A and B. PointPensPencils A100 B5 C225

Question 1(d) The table below shows the production possibilities for two products, pens and pencils. Calculate the opportunity cost of producing 1 additional pencil between points B and C. What conclusions can you come to about this opportunity cost compared to the calculation you made in part (b)? The opportunity cost of pencils between B and C is one pencil for 1/5 of a pen. OP = (5-2)/(25-10) = 1/5 This is a much lower opportunity cost than between A and B. PointPensPencils A100 B5 C225

Number of Workers needed to make: One car per year One tonne of grain per year Swedish Danish Question 2(a) Swedish and Danish workers can each produce 4 cars a year. A Swedish worker can produce 10 tonnes of grain a year, whereas a Danish worker can produce 5 tonnes of grain a year. Assume that each country has 100 million workers. Construct a table showing the production opportunities of both countries. First thing to do is use the information above to find out how many workers are needed to produce one car and one ton of grain per year: Number of Workers needed to make: One car per year One tonne of grain per year Swedish¼1/10 Danish¼1/5

In the prev. slide, we found how many workers are needed to produce one unit of each good. Now we want to show how much each country will produce in a year. We assume each country has 100 million workers. So, we divide the total number of workers by the number of workers needed to produce one unit of each good per year: Note: You might not always have a problem that looks at amount produced by a certain number of workers. See Slide 14 in Week 10 Lecture Slides for an example that looks at the amount produced in a certain amount of time. Number of Workers needed to make: Amount produced in a year by 100 million workers One car per year One tonne of grain per year CarsTonnes of grain Swedish¼1/10 Danish¼1/5 Question 2(a) ctd. Number of Workers needed to make: Amount produced in a year by 100 million workers One car per year One tonne of grain per year CarsTonnes of grain Swedish¼1/10400 million1,000 million Danish¼1/5400 million500 million

Question 2(b) Graph the production possibilities frontier of the Swedish and Danish economies. So, here is what we will be graphing: I’ve put cars on the Y-axis and grain on the X-axis: 500 1000 Grain Cars 400 Swedish Danish Y-axis: With 100 million workers and four cars per worker, if either economy were devoted completely to cars, it could make 400 million cars. X-axis: Since a Swedish worker can produce 10 tonnes of grain, if Sweden produced only grain it would produce 1,000 million tonnes. Since a Danish worker can produce 5 tonnes of grain, if Denmark produced only grain it would produce 500 million tonnes. Note: Because the trade-off between cars and grain is constant, the production possibilities frontier is a straight line. Amount produced in a year by 100 million workers CarsTonnes of grain Swedish400 million1,000 million Danish400 million500 million

Opportunity cost of 1 car (in terms of grain given up) 1 tonne of grain (in terms of cars given up) Sweden Denmark Question 2(c) Opportunity cost of 1 car (in terms of grain given up) 1 tonne of grain (in terms of cars given up) Sweden2.50.4 Denmark1.250.8 Amount produced in a year by 100 million workers CarsTonnes of grain Swedish400 million1,000 million Danish400 million500 million

Question 2(d) Which country has an absolute advantage in producing cars? In producing grain? First, let’s define Absolute advantage: Someone has absolute advantage if they can produce more output than others, using the same amount of inputs. Or, we could say that they produce the same output as others, using fewer inputs. So, what we want to compare is the output per worker between the two countries: Neither country has an absolute advantage in producing cars, because they are equally productive (same output per worker). Sweden has an absolute advantage in producing grain, because it is more productive (greater output per worker). Amount produced in a year by 100 million workers CarsTonnes of grain Swedish400 million1,000 million Danish400 million500 million

Question 2(e) Which country has a comparative advantage in producing cars? In producing grain? First, let’s define Comparative advantage: One person has a comparative advantage over another in a task if his or her opportunity cost of performing a task is lower than the other person’s opportunity cost. So, we’ll use the opportunity cost that we found in part (c): Denmark has a comparative advantage in producing cars, because it has a lower opportunity cost in terms of grain given up. Sweden has a comparative advantage in producing grain, because it has a lower opportunity cost in terms of cars given up. Opportunity cost of 1 car (in terms of grain given up) 1 tonne of grain (in terms of cars given up) Sweden2.50.4 Denmark1.250.8

Question 2(f) Without trade, half of each country’s workers produce cars and half produce grain. What quantities of cars and grain does each country produce? So, 50 million workers will produce cars and the other 50 million will produce grain in each country. We know that: Sweden would produce 200 million cars (50 million workers times 4 cars each), and 500 million tonnes of grain (50 million workers times 10 tonnes each). Denmark would produce 200 million cars (50 million workers times 4 cars each) and 250 million tonnes of grain (50 million workers times 5 tonnes each). Number of Workers needed to make: Amount produced in a year by 1 worker One car per year One tonne of grain per year Cars Tonnes of grain Swedish¼1/10410 tonnes Danish¼1/545 tonnes

Question 2(g) Starting from a position without trade, give an example in which trade makes each country better off. From any situation with no trade, in which each country is producing some cars and some grain, suppose Sweden changed 1 worker from producing cars to producing grain. That worker would produce 4 fewer cars and 10 additional tonnes of grain. Then suppose Sweden offers to trade 7 tonnes of grain to Denmark for 4 cars. Sweden will do this because it values 4 cars at 10 tonnes of grain, so it will be better off if the trade goes through. Suppose Denmark changes 1 worker from producing grain to producing cars. That worker would produce 4 more cars and 5 fewer tonnes of grain. Denmark will take the trade because it values 4 cars at 5 tonnes of grain, so it will be better off. With the trade and the change of 1 worker in both Sweden and Denmark, each country gets the same amount of cars as before, and both get additional tonnes of grain (3 for Sweden and 2 for Denmark). Thus by trading and changing their production, both countries are better off.

Question 3(a) Morgan and Oliver share a flat. Their favourite activities are cooking pizza and making homebrew beer. Oliver takes 4 hours to produce 1 barrel of beer, and 2 hours to make a pizza. Morgan takes 6 hours to produce 1 barrel of beer, and 4 hours to make a pizza. What is each flatmate’s opportunity cost of making a pizza? Oliver’s opportunity cost of making a pizza = ½ barrel of beer because he could brew ½ barrel in the time (2 hours) it takes him to make a pizza. Morgan’s opportunity cost of making a pizza = 2/3 barrels of beer because she could brew 2/3 of a barrel in the time (4 hours) it takes her to make a pizza. Who has the absolute advantage in making pizza? Oliver has an absolute advantage in making pizza since he can make one in two hours, while it takes Morgan four hours. (In other words, he uses fewer inputs (time, in this case) than Morgan to produce the same amount of output as Morgan) Who has the comparative advantage in making pizza? Oliver has a comparative advantage in making pizza because Oliver’s opportunity cost of making pizza is less than Morgan’s.

Question 3(b) If Oliver and Morgan trade foods with each other, who will trade away pizza in exchange for beer? Since Oliver has a comparative advantage in making pizza, he will make pizza and exchange it for beer that Morgan makes. Note: This is an example of the principle of comparative advantage. It states that under free trade, the individual will produce more of and consume less of a good for which he has a comparative advantage.

Question 3(c) The price of pizza can be expressed in terms of barrels of beer. What is the highest price at which pizza can be traded that would make both flatmates better off? What is the lowest price? Explain. The highest price of pizza in terms of beer that will make both flat-mates better off is 2/3 of a barrel of beer. If the price were higher than that, then Morgan would prefer making her own pizza (at an opportunity cost of 2/3 of a barrel of beer), rather than trading for pizza that Oliver makes. The lowest price of pizza in terms of beer that will make both flat-makes better off is ½ of a barrel of beer. If the price were lower than that, then Oliver would prefer making his own beer (he can make ½ a barrel of beer instead of making a pizza) rather than trading for beer that Morgan makes. In short: The highest price of pizza where both will be better off = the buyer’s opportunity cost of pizza The lowest price of pizza where both will be better off = the seller’s opportunity cost of pizza So, the feasible price range lies between the opportunity cost of the two flat-mates.

Question 4(a)

Question 4(b)

Question 4(c) Suppose the country now imposes an import tariff of £10 per bag of bananas. Draw the diagram for this policy. Solve for equilibrium prices and quantities of the equilibrium with the tariff. Calculate the effects on consumer surplus, producer surplus, government revenue, and the net welfare effect of the tariff. Imposing an import tariff of £10 per bag raises the world price to £30.

Question 4(c)

Question 4(d) Suppose now that (without the tariff) the country imposes a quota that limits imports to 50 bags. Solve for equilibrium prices and quantities of the equilibrium with the quota. Calculate the effects on consumer surplus, producer surplus, and the quota rent. Now, if instead of a tariff, an import quota is imposed instead, what this does is to shift the supply curve to the right (this now becomes a supply curve which combines both domestic and imported goods).

Question 4(d)

Next Class  Week 12 Worksheet  Review the Specimen Exam on Moodle  Send me your questions before Monday, and I will try to go over them in next week’s tutorial.  Short-Answer Exam is Next Friday!

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