Figure 2-7 Production possibilities curve A Food If an economy operates at point A on the production possibilities curve shown in Figure 2-7 2-7.png, to produce more food, it would have to reduce its production of clothing. Clothing
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- If an economy can produce various combinationsof food and shelter along a productionpossibilities curve (PPC), then if we increase theproduction of shelter along the PPC, which ofthe following is true?a. We also increase the production of food.b. We must decrease the production of food.This forgone food production representsthe opportunity cost of the increase inshelter.c. We cannot change the production of food.d. The concept of opportunity cost does notapply along PPC.Anna has endowment 1500 now and 500 later. Internet rate is 2.0%. She prefers smooth consumption to time (i.e., u0=u1=u). a. Assume utility function, u(c)= log c. What are the optimal consumption c0and c1if Anna's beta=1, and she wants to maximize her utility? b. Now assume that the utility function, u(c)=c0.5. If everything else remains the same as Problem 1(a), what are the optimal consumption c0and c1if Anna wants to maximize her utility?On a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according tothe functionU(c, b) = 20c− c²+ 18b − 3b²a. How many cigars and glasses of brandy does he consume during an evening? (Cost isno object to J. P.)b. Lately, however, J. P. has been advised by his doctors that he should limit the sum ofglasses of brandy and cigars consumed to 5. How many glasses of brandy and cigarswill he consume under these circumstances?
- Review the numbers for Canada and Venezuelafrom Table 33.12 which describes how many barrelsof oil and tons of lumber the workers can produce. Usethese numbers to answer the rest of this question.a. Draw a production possibilities frontier for eachcountry. Assume there are 100 workers in eachcountry. Canadians and Venezuelans desire bothoil and lumber. Canadians want at least 2,000tons of lumber. Mark a point on their productionpossibilities where they can get at least 3,000tons.b. Assume that the Canadians specializecompletely because they figured out they havea comparative advantage in lumber. They arewilling to give up 1,000 tons of lumber. Howmuch oil should they ask for in return for thislumber to be as well off as they were with notrade? How much should they ask for if theywant to gain from trading with Venezuela? Note:We can think of this “ask” as the relative price ortrade price of lumber.c. Is the Canadian “ask” you identified in (b) alsobeneficial for Venezuelans? Use the…Imagine a country XYZ that produces only two goods—chairs and tables. Together, the chairs and tablesindustries use all of the economy’s factors of production. The table below shows the productionpossibilities for XYZ:Production Possibilities for XYZChairs Tables600 0450 150300 250150 325 0 375 use the slope (rise/run) to solve it and describe what happen A. What is the opportunity cost of increasing tables production from 250 tables to 325tables? If I solve it by using slope method (250-325)/(300-150)=-0.5 is it correct? Because we should use slope method (Y2-Y1)/(X2-X1)A consumer has utility u(x,y,z)= ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pZ = 1 . Optimally sheconsumes 30 units of z. What is her income? How much money does she spend on x?(HINT: MUX =??, MUY =??, MUZ =??and remember the “equivalent bang for the buck” condition)(b) Forget about (a). Suppose you have t = 29 hours in total to spend on 3 projects X, Y and Z to make some money.If you spend x hours on project X, you make 2√? dollars;If you spend y hours on project Y, you make ?√? dollars;If you spend z hours on project Z, you make ?√? dollars;Writing down your “utility function” u(x,y,z) and the constraint, solve the utility maximization problem; what isthe optimal amount of time to spend on x ? on y? on z ?
- 1. Write down an exchange economy model with two individuals and two goods, in whichthere is no consumption externality. State and explain the key assumptions of the model.Using the model, answer the following questions:(a) Explain carefully how the concept of Pareto efficiency differs from that of socialwelfare.(b) State the Second Theorem of Welfare Economics and explain carefully why it holds.What is the importance of the assumption of convex preferences to this theorem?(c) Explain the concept of the utility possibility frontier. What is the role of the utilitypossibility frontier in the social welfare maximization problem of a welfarist society?What is the difference between a positive and a normative statement?What assumptions about the economy must he true for the invisible hand to work? To what extent are those assumptions valid in line real world?
- During the Second World War, Germanys factories were decimated. It also suffered many human casualties, both soldiers and civilians. How did the war affect Germanys production possibilities curve?Why do economists use the ceteris paribus assumption?What are four responses to the claim that people should not behave in the way described in this chapter?