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Assignment #1 Total: 24 Q1) 5 Q2) 7 Q3) 8 Q4) 4. Question 1 A college student who is cramming for final exams has only six hours of study-time remaining.

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Presentation on theme: "Assignment #1 Total: 24 Q1) 5 Q2) 7 Q3) 8 Q4) 4. Question 1 A college student who is cramming for final exams has only six hours of study-time remaining."— Presentation transcript:

1 Assignment #1 Total: 24 Q1) 5 Q2) 7 Q3) 8 Q4) 4

2 Question 1 A college student who is cramming for final exams has only six hours of study-time remaining. Her goal is to get as high an average score as possible in three subjects: Economics, mathematics, and statistics. She must decide how to allocate her time among the subjects. According to the best estimates, her score in each subject will depend upon the time allocated to it according to the following schedule. How should the student allocate her time?

3 Question 1 EconomicsMathematicsStatistics Hours of study scoreHours of study scoreHours of study Score

4 Solution to Question 1 (1) The general rule for allocating a resource efficiently across different production activities is: – Allocate each unit of the resource to the production activity where its marginal benefit is highest. She should allocate her first additional hour to the subject in which it will give her the highest marginal benefit Then allocate her second additional hour to the subject in which it will give her the second highest marginal benefit….. Until her six hours of studying are all occupied

5 Solution to Question 1 (2) Economics Hours of study scoreMB Mathematics Hours of study scoreMB Statistics Hours of study ScoreMB She should spend 3 hours on Economics, 2 hours on Mathematics and 1 hour on Statistics Using Allocation Rules

6 Suppose that there are 10 million workers in Canada, and that each of these workers can produce either 2 cars or 30 bushels of wheat in a year. a) What is the opportunity cost of producing a car in Canada? What is the opportunity cost of producing a bushel of wheat in Canada? Explain the relationship between the opportunity costs of the two goods. Opportunity cost of producing a car is 15 bushels of wheat Opportunity cost of producing a bushel of wheat is 1/15 cars If Canada wants to produce a car, it needs to give up 15 bushels of wheat. If Canada wants to produce a bushel of wheat, it needs to give up 1/15 cars. Question 2 (1)

7 b) Draw Canada’s production possibilities curve. If Canada chooses to consume 10 million cars, how much wheat can it consume without trade? Label this point on the production possibilities curve. 10 million workers, each can produce either 2 cars or 30 bushels of wheat The maximum amount of cars can produce - 10 millions workers x 2 cars/worker is 20 million cars The maximum amount of wheat can produce - 10 millions workers x 30 bushels of wheat is 300 million bushels of wheat If Canada chooses to consume 10 million cars, it needs to have - 5 million workers in producing 10 million cars - Thus, leaving 5 million workers to produce wheat and producing 150 million bushels of wheat without trade Question 2 (2)

8 Canada’s PPC Cars (million per year) wheat (million per year) Canada can consume 10 million cars and 150 million bushels of wheat without trade This point should lie on the curve and is efficient and obtainable Slope = 1/15, or, opportunity cost of producing wheat is 1/15 cars Question 2 (3)

9 c) Now suppose that the United States offers to buy 10 million cars from Canada in exchange for 20 bushels of wheat per car. If Canada continues to consume 10 million cars, how much wheat does this deal allow Canada to consume? Label this point on your diagram. Should Canada accept the deal? Question 2 (4)

10 If Canada accepts the deal, it gets 200 million bushels of wheat, at point A This point lies beyond Canada’s PPF which was initially unattainable without the trade with US If Canada continues to consume 10 million car, then it obtains an extra 50 bushels of wheat Canada should accept the deal Canada’s PPC Cars (million per year) wheat (million per year) A 200 Question 2 (5)

11 Country A has 1200 units of labor available. It can produce two goods, apples and bananas. The unit labor requirement in apple production is 3, while in banana production it is 2. (The unit labor requirement of a good is the amount of labor required to produce one unit of that good.) There is another country, country B, with a labor force of 800. B's unit labor requirement in apple production is 5, while in banana production it is 1. Suppose people in both countries have the same preferences so that, for each country, the following holds: quantity demanded for apples/quantity demanded for bananas = price of bananas/price of apples. Find out the prices of the goods over which they are exchanged. (Hint: the prices are such that, for each good, the total demand by both countries is equal to the total supply by both countries.) Question 3 (1)

12 Country A - Opportunity cost to make 1 apple = 1.5 bananas - Opportunity cost to make 1 banana = 2/3 apple Country B - Opportunity cost to make 1 apple = 5 bananas - Opportunity cost to make 1 banana = 1/5 apple Country A has a comparative advantage on producing apple Country B has a comparative advantage on producing banana Question 3 (2) CountryTo make 1 appleTo make 1 banana A (1200 units of labor) 3 labors2 labors B (800 units of labor) 5 labors1 labor

13 Find the prices of the goods over which they are exchanged The most beneficial way to trade is for each country to specialize completely using all of their available resources Country A will produce 400 apples using 1200 units of labor Country B will produce 800 bananas using 800 units of labor Question 3 (3)

14 The preferences from both countries imply that, both countries, - i) will demand the same quantity of apples and same quantity of bananas - ii) will spend the same amount of money on buying apples and bananas; therefore, the total spending on apples and bananas must equal to each country’s total revenue Q a P b Q b = P a or P a Q a = P b Q b Question 3 (4) Country ACountry B P a Q a + P b Q b = P a Q a P a Q a + P b Q b = P b Q b

15 Thus, find the prices such that, the total spending on apples and bananas equals to the country’s revenue; and the total world demand of each good equals to the total world supply of each good. i) Total production of Apple = 400 apples, - Country A demands 200 apples - Country B demands 200 apples Total production of Banana = 800 bananas, - Country A demands 400 bananas - Country B demands 400 bananas Question 3 (5)

16 ii) Each country’s total spending = total income - Country A: 200P a + 400P b = 400P a - Country B: 200P a + 400P b = 800P b Solving these two equations, P a = 2P b If P b = $1, then P a = $2 Question 3 (6)

17 P b = $1, P a = $2 Country A, - Produces 400 apples, total income is $800 - Total Demand on apple is 200, total cost on apple is $400 - Total Demand on banana is 400, total cost on banana is $400 Country B, - Produces 800 bananas, total income is $800 - Total Demand on apple is 200, total cost on apple is $400 - Total Demand on banana is 400, total cost on banana is $400 At this price, for each country, total spending on apples and bananas equals to its revenue Question 3 (7)

18 In equilibrium, P a = 2P b The world quantity demanded for apple = The world quantity supplied of apple The world quantity demanded for banana = The world quantity supplied of banana No country can benefit from readjusting her consumption decisions and her production plans Question 3 (8)

19 Q2. From Chapter 3 How would each of the following affect the U.S. market supply curve for corn?  Factors affecting the supply curve -changes in cost of production -improvement in technology -expectation of future prices -changes in suppliers -changes in weather Question 4 (1)

20 a) A new and improved crop rotation technique is discovered. -This new technique is an improvement in technology -Enables more crops to be produced with the same inputs -The supply curve shifts right b) The price of fertilizer falls. -Fertilizer is an input used in the production of corn -Price of fertilizer falls leads the cost of corn production decrease -Lower input prices shift the supply curve to right Question 4 (2)

21 c) The government offers new tax breaks to farmers. - This new tax saving makes farming relatively more profitable than before -More people would switch to farming, thus increase in the number of suppliers -Supply curve shifts right d) A tornado sweeps through Iowa. - Tornado destroys the corn production -Supply curve shifts left Question 4 (3)

22 End of Assignment 1


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