The economy below has a linear production possibility frontier, given by C=Y-G/q. The government has become more efficient at producing the public good (q increases from q1 to q2), which produces a rotation in the production possibility frontier. The private good (c) is a normal good. The public good is, however, an inferior good. In which area (1,2,3) will the indifference curve of the consumer be after the change? 1
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- The economy below has a linear production possibility frontier, given by C=Y-G/q. The government has become more efficient at producing the public good (q increases from q1 to q2), which produces a rotation in the production possibility frontier. The private good (c) is a normal good. The public good is, however, an inferior good. In which area (1,2,3) will the indifference curve of the consumer be after the change? C 1 2 3 9,Y Either 2 or 3 O Either 1 or 2 or 3 (i.e. Not Enough Information) O 3Analyze how pareto efficiency is achieved from consumption activities in an economyQ1. Let X be a public good and Y be a private good. Two individuals, A and B, derive utility from the consumption of X and Y according to the following quasi-linear preferences: U"(X,Y)=aX +Y and U* (X,Y)= BX +Y, where a + B and both a and ß are greater than one. If the marginal rate of transformation between X and Y is C, find X.
- Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries). There are two types of agents, h and g, and they have the same preferences over consumption, represented by the utility function: u(x1, 22) = In r1 + In #2. However, there are twice as many type-h agents as type-g agents. The only factors of production are their labour. When a type-h agent chooses to spend a fraction a of his day producing meat and the rest producing berries then his output is (yf, y ) = (2a, 2(1 – a)). A type-g agent is more productive. When she chooses to spend a fraction B of her day producing meat and the rest producing berries then her output is (v7, y2) = (38, 12(1 – B)). Which of the following statements is correct? a. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and p units of good 2 (berries). Each agent of type g demands 6/p units of good 1 (meat) and 6 units of good 2 (berries). O b. Given equilibrium price p, each agent of…Two goods are produced in a two-person economy - good X and good Y. Person A's production possibilities frontier is given by the formula X+Y=A, while Person B's production possibilities frontier is 2X+Y=B (where A, B > 0 and A< B < 2A). The utility function of this two-person society is described by the formula U(X,Y)= XY2. The optimal consumption level in this economy is: a. X = A+B and Y = 3 2A+B and Y = and Y = X = b. X = C. X 6 2A+B 6 A+B 3 = 2(A+B) or 3 2(2A+B) 3 2(2A+B) 3 2(A+B) 3 and Y = d. With such data it is not possible to unambiguously determine the consumption level. X10) If prices and income in a two-good model double, what will happen to the budget line? A) The intercepts of the budget line will increase. B) The intercepts of the budget line will decrease. C) The slope of the budget line may either increase or decrease. D) There will be no effect on the budget line. E) Insufficient information is given to determine what effect the change will have on the budget line.
- Consider a Robinson Crusoe economy. Robinson is a representative agent with utility function: u(c, r) = cr, where c is coconuts, and r is leisure. In order to produce coconuts, technology dictates the production, which is given by c = avL, where a is some constant, and L is labour. Suppose that a=2. Finally, there is a time constraint: r+L=21 for the consumer. Also the consumer has income of 9. Consider a competitive labour market. Given the wage rate, w=1, the consumer would like to supply 2 decimal places.) units of the labour input. (Answer just the number up toProduction of Oranges (x) and Pineapples (y) is given by 4x2+9y2=144; Utility for the farmer is U=x*y. 1. If Market Prices are px=10 & py=9; what are the Optimal Budget (M) and the Optimal Distribution of Oranges and Pineapples for the farmer?Solve parts d,e and f Jen from Thunder Bay consumes housing (H) and food (F). Her studentstipend is $600/month. She has a utility function of U(H, F) = F1/3H2/3.The initial price of food is pF = 1 and the price of housing is pH = 10. (a) Determine how much food and housing she consumes.(b) Suppose the government decides to subsidize her housing by 50%.This has the effect of lowering the price she actually pays for housingto $5. If the price of food is $1 and the price of housing is $5, calculateJen’s utility maximizing bundle of goods.(c) How much does the Government spend on this program (just on Jen)?(d) Calculate her utility level using the utility function above and thequantities consumed.(e) Calculate Jen’s utility maximizing bundle and her resulting utilitylevel if the government chooses to simply give her the money theywould have spent on the program (rather than subsidize housing).How much utility does Jen get?(f) Given the two programs cost the same, which one is better for…
- Suppose that Boris is a price taker and the price for each concert is $35. For Boris to maximise his total net benefit (total benefit – total cost), how many concerts will he attend? Draw Boris' individual demand curve to help you find the answer. Note: if Boris is indifferent between attending and not attending a concert, please assume that he attends it to break the tie. The optimal number of concerts that Boris will attend is:Malcom only consumes 2 goods - Good A and Good B. His budget constraint is 4A+2B=400, which means Good A's cost is $4 per unit, Good B's cost is fixed at $2 per unit, and income is fixed at $400. However, Good A's cost is not fixed, with the condition that if Malcom consumes more than 5 units of Good A, Good A would cost him $5 per unit. Thus if he does consume more than 5 units of Good A, his budget constraint would be 5A+2B=400 (a). How does Malcom's optimal choice change? Explain in full detail. (b) How does Malcom's well-being change? Explain in full detail.Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries). There are two types of agents, h and g, and they have the same preferences over consumption, represented by the utility function: u(x1, x2) = In ¤1 + In x2. However, there are twice as many type-h agents as type-g agents. The only factors of production are their labour. When a type-h agent chooses to spend a fraction a of his day producing meat and the rest producing berries then his output is (yf, y½) = (2a, 2(1 – a)). A type-g agent is more productive. When she chooses to spend a fraction B of her day producing meat and the rest producing berries then her output is (y7, vž) = (38, 12(1 – B)). The hunter-gatherers now have the possibility of opening up their economy to free trade. In world markets, 1 unit of meat can be exchanged for 2 units of berries, and the country would be a price-taker. Which of the following statements is correct? O a. Only agents of type g benefit from free trade. O…