Unit 1, Chapter 1 Mr. Maurer AP Economics Name: _______________________________ Date: _____________________ Chapter 1, Problem Set #3 - Production Possibilities Tables and Curves 1. The following is a production possibilities table for two products, corn and cars. Corn is measured in units of 1000 bushels and cars are measured in units of 100,000. Combination A B C D E F G H Cars 1st 2nd 3rd 4th 5th 6th 7th Corn 0 7 13 18 22 25 27 28 Cars 7 6 5 4 3 2 1 0 Opportunity Cost of Production a. Follow the general rules for making graphs. Plot the data from the table on your own graph paper to create a production possibilities curve. Place corn on the vertical axis and cars on the horizontal axis. b. Fill in table to the left showing the opportunity cost per unit of producing the 1st through the 7th car unit in terms of corn units. c. What is the marginal opportunity cost of the 3rd unit of cars in terms of corn? d. What is the total opportunity cost of producing 6 units of cars? 2. The following graph is a production possibilities curve. Draw on this graph: a. a production possibilities curve that indicates greater efficiency in producing Good A only b. a production possibilities curve that indicates greater efficiency in producing Good B only c. a production possibilities curve that indicates an increase in the resources available to the economy. Unit 1, Chapter 1 3. Refer to the graph above to answer the following five questions. a. Which points on the graphs represent efficiency in production? (A) B and C (B) A and D (C) A, B, C, and D (D) A, B, C, D, and E (E) All six points b. For this economy, an increase in the quantity of capital goods produced without a corresponding decrease in the quantity of consumer goods produced (A) cannot happen because of the law of increasing opportunity cost. (B) could be represented by a movement from point E to point A. (C) could be represented by a movement from point C to point B. (D) could be represented by a movement from point E to point B. (E) can only happen with an increase in resources or technology. c. An increase in unemployment could be represented by a movement from point (A) D to point C. (B) B to point A. (C) C to point F. (D) B to point E (E) E to point B d. Which of the following might allow this economy to move from Point B to Point F? (A) more workers (B) discovery of new resources (C) building new factories (D) technological improvements (E) all of the above e. The production possibilities curve shows the trade-off between consumer goods and capital goods. Since capital goods are a resource, an increase in the production of capital goods today will increase the economy’s production possibilities in the future. Therefore, all other things equal (ceteris paribus), producing at which point today will result in the largest outward shift of the PPC in the future? 4. Assume that an economy can choose between producing food and producing shelter at a constant opportunity cost. Draw a correctly labeled production possibilities curve for the economy. On your graph use the letter E to label a point that is efficient in production. Use the letter U to label a point at which there is unemployment. Use the letter I to label one of the points that is not feasible. Unit 1, Chapter 1 5. Refer to the graph below for the following questions: a. Does this country’s PPC exhibit increasing opportunity costs? Explain. b. If this country were to go to war, the most likely move would be from point C to which point. Explain. c. If the economy entered into a recession, the country would move from point C to which point? Explain. 6. The following table provides six possible production combinations that Youngstown can produce in one year from its available resources with its current technology. Combination Bicycles Tents a. Sketch Youngstown’s PPC. Put bicycles on the x-axis A 100 0 and tents on the y-axis. B 90 10 C 70 25 b. Suppose Youngstown is currently producing at D 40 36 combination C. What would be the opportunity cost of E 20 42 moving from combination C to combination B? To F 0 45 combination D? c. Explain why Youngstown’s PPC takes the shape that it does. 7. There are two islands in the middle of the ocean, and these two islands produce fish and baskets. Big Island can produce either 100 fish and 0 baskets per day or 0 fish and 200 baskets per day. Big Island can also produce any combination of fish and baskets that lies on its linear PPC. Small Island can produce either 80 fish and 0 baskets per day or 0 fish and 80 baskets per day. Small Island also has a linear PPC. a. Sketch Big Island and Small Island’s PPCs on two separate graphs. Place fish/day on the y-axis and baskets/day on the x-axis. Unit 1, Chapter 1 b. What is the slope of Big Island’s PPC? Of Small Island’s PPC? c. What is the opportunity cost of producing an additional basket on Big Island? What is the opportunity cost of producing an additional basket on Small Island? Which island can produce baskets at a lower opportunity cost? d. What is the opportunity cost of producing an additional fish on Big Island? On Small Island? Which island can produce fish at a lower opportunity cost? 8. The country of Krausland produces two goods from its available resources and technology. The only resource that Krausland has is labor. It takes 3 hours of labor to produce 2 widgets and 4 hours of labor to produce 1 gadget. For this question, assume that the PPC for Krausland is a straight line. a. Sketch the PPC for Krausland. (Hint: Choose a relevant time period, e.g. 24 hours, as your labor constraint and sketch your PPC based on this amount of time and labor.) Graph widgets on the y-axis and gadgets on the x-axis. b. What is the slope of your PPC? c. What is the opportunity cost of producing an additional widget in Krausland? d. What is the opportunity cost of producing an additional gadget in Krausland? 9. The country of Kerseystan also makes widgets and gadgets. It takes 2 hours of labor to produce a gadget and 5 hours of labor to produce a widget. For this question, assume that Kerseystan’s PPC is linear. a. If you want to draw a PPC for Kerseystan, what do you need to do first (see question #8)? b. Sketch the PPC for Kerseystan, assuming that it has 120 hours of labor available. Put gadgets on the x-axis and widgets on the y-axis. c. What is the slope of the PPC? d. What is the opportunity cost of an additional widget? e. What is the opportunity cost of an additional gadget? f. Now suppose that Kerseystan’s population increased and it has 240 hours of labor available rather than 120. Does this affect the opportunity cost of producing widgets or gadgets? Explain.