There are 40 people living in a village each having preference over apples and shirts represented by U(a,b) = a1/3s2/3, where a and s are amount of apples in pounds and shirts consumed, respectively. The price of a shirt is $10. Each villager has $300 income. Apples are supplied to the village by a farmer, whose supply function is S(pa) = 1000pa. Part 1 What is the equilibrium price of apples? How many pounds of apples does each villager consume? Part 2 What is the aggregate net consumer surplus at the equilibrium? Part 3 What is the price elasticity of demand at the equilibrium?
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There are 40 people living in a village each having preference over apples and
shirts represented by U(a,b) = a1/3s2/3, where a and s are amount of apples
in pounds and shirts consumed, respectively. The
Part 1
What is the
villager consume?
Part 2
What is the aggregate net consumer surplus at the equilibrium?
Part 3
What is the
Part b1
Suppose 50 more people move in to the village. What is the equilibrium price
now?
Part b2
Are consumers better or worse off now? Why? If a consumer is worse off, by
how much additional income he/she needs to be compensated in order to be as
well off as in Part a.
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- Q1 Consider the market for orange juice. In this market, the supply curve is given by QS = 100PJ −20PO and the demand curve is given by QD = 1000−150PJ +100PC, where J denotes orange juice, O denotes Orange, and C denotes coffee. Assume that PO = 10 and Pc = 8. Calculate the equilibrium price and quantity in the Orange juice market. Suppose that a poor harvest season raises the price of oranges to Po = 15 Is it possible to reach a market equilibrium if the price of orange juice PJ remains unchanged? Why? How much quantity of orange juice will finally be exchanged on the market? Find the market price necessary to restore equilibrium. Deduce the equilibrium quantity of orange juice. Draw a graph to illustrate your answers. Q2 Suppose the price elasticity of demand for the market of mobile phones is 0.90. If all mobile-phone companies simultaneously increased their prices, will total revenue in the industry increase or decrease? If a single mobile-phone…Kindly help on these two question... The result that every competitive equilibrium is pareto efficient. a) the second fundamental theorem of welfare economics. b) Edgeworth's condition c) The first fundamental theorem of welfare economics d) Waras's law 2) Assume that there are two consumers ( A and B) in an economy that have preferences that can can be represented as cobb-douglas utility functions. Also assume that there are two firms that have concave production possibility frontiers over goods x and y . Which of the following conditions must be true for an allocation to be distributivity efficient? Select all that apply. a) all goods in the economy are consumed. b) producers must be operating on their production possibilities frontier. c) all consumers must have marginal rates of substitution that are equal. d) all producers must have marginal rates of transformation that are equal . e) consumers must value goods at the margin at the same rate it costs society to produce themThe U.S. imports lumber among other goods from Canada. The lumber has been the topic of political dialogue between the 2 countries in the past few days. So let’s take X as ‘lumber’ and Y as ‘other goods’. Suppose the Canadian lumber and other exportable goods are produced with the following production Possibilities frontier (PPF): X2 + Y2 = 900 Suppose the U.S. utility function for the Canadian lumber, X, and other exportable goods, Y, is: U = X Y a. Derive the conditions necessary to determine the ‘Optimal Product Mix’ discussed in chapter 10. b. Draw the PPF (partial just the first quadrant) with Y on the vertical axis. On the same graph, draw at least one indifference curve so as to show the “optimal product mix’. Can this graph represent the ‘pure exchange’ economy? Explain why or why not. c. Now draw in a price line that can make the ‘optimal product mix’ a competitive exchange equilibrium. Can…
- Let there be 3 people in the economy. Let the utility function of person 1 be u=min(x,y), utility of person 2 be = max(x,y) and the utility function of the 3rd consumer be U=x+y. Let the endowment points be A(5,5), B(5,5) c(5,5). An example of a pareto efficient allocation is: A) A(5,5), B(5,5) c(5,5) B) A(5,5), B(5,0) c(10,5) C) A(5,5), B(0,5), c(5,10) D) None of the above The correct answer is D. Explain clearly. Also, please state the pareto effient outcome not mentioned in the options (if it exists).There are 40 people living in a village each having preference over apples andshirts represented by U(a,b) = a1/3s2/3, where a and s are amount of applesin pounds and shirts consumed, respectively. The price of a shirt is $10. Each villager has $300 income. Apples are supplied to the village by a farmer, whose supply function is S(pa) = 1000pa.Part a1What is the equilibrium price of apples? How many pounds of apples does eachvillager consume?Part a2What is the aggregate net consumer surplus at the equilibrium?Part a3What is the price elasticity of demand at the equilibrium?Part b1Suppose 50 more people move in to the village. What is the equilibrium pricenow? Part b2Are consumers better or worse off now? Why? If a consumer is worse off, byhow much additional income he/she needs to be compensated in order to be aswell off as in Part a.Two individuals, Fred and Helen, are in an economy with no production, and each have the utility function U = 10XY. Prices of both X and Y are set at $1. Initial endowments for Fred are 10 units of X and 6 units of Y. Helen has 8 units of X and 12 units of Y. Find the general equilibrium prices and allocation, then show that the G.E. allocation is Pareto efficient.
- Consider a couple (a husband and a wife) that jointly represents their collective preferences between combinations of household production time (X) and purchased goods and services (Y) according to the formula W = X2Y, where W represents the level of welfare. Suppose the maximum time available in a day is 16 hours and currently the wife devotes 6 hours to market work (H) at a wage of $16 per hour. a. What is the level of welfare associated with the wife’s current situation? b. How much additional purchasing power would the wife contribute if her market work hours increased to 8? c. How much of an increase in purchased goods and services would be necessary to compensate for the additional 2 hours of lost household production? d. Should this couple choose to have the wife increase her market work by 2 hours? e. If this couple is raising a child, suppose that combinations of household production and purchased goods are now ranked according to the formula U = X3Y. Would the additional 2…Consider two people in the market for tilapia, Reagan and Cheryl. The marginal benefit curves for both individuals are shown in the accompanying graph. a. Suppose the market price of tilapia is $2.00 per pound. Move point A to Cheryl’s quantity purchased. Move point B to Reagan’s quantity purchased. b. How many pounds of tilapia do they collectively purchase? _________ pounds c. To achieve an efficient allocation, Cheryl should purchase _______(more tilapia than, the same amount of tilapia as, less tilapia than) she is currently purchasing, and Reagan should purchase ________ (more tilapia than, the same amount of tilapia as, less tilapia than) she is currently purchasing.True or False. State with reasoning: The theory of second best says that if there is a distortion that cannot be removed from the market, then it is never best to get all other variables to the Pareto efficient allocation.
- Consider a pure exchange economy, where each consumer has preferences described by a Cobb-Douglas utility function. Both consumers have exactly the same endowment. In such an economy, an equitable distribution of goods (where each individual consumes exactly half of each good) is a Walrasian equilibrium allocation. a. always for any consumers' preferences b.only if consumers' preferences are exactly the same c. never d. non of the above1. Suppose that there were 25 people who had a reservation price of $500, and the 26th person had a reservation price of $200. What would the demand curve look like? 2. In the above example, what would the equilibrium price be if there were 24 apartments to rent? What if there were 26 apartments to rent? What if there were 25 apartments to rent? 3. If people have difffferent reservation prices, why does the market demand curve slope down? 4. In the text we assumed that the condominium purchasers came from the inner-ring people—people who were already renting apartments. What would happen to the price of inner-ring apartments if all of the condominium purchasers were outer-ring people—the people who were not currently renting apartments in the inner ring?A fixed amount of a good has to be allocated between two individuals, h = 1; 2 with utility functions Where xh is the amount of the good allocated to consumer h. a. How should be allocated to maximize a utilitarian SWF? Illustrate the answer graphically. How do the optimal values of x1 and x2 change among the cases a1 2, a1 = a2, and a1 > a2? b. What is the allocation maximizing the Bernoulli-Nash SWF ? Illustrate graphically. How do the optimal values of x1 and x2 change with the preference parameters a1 and a2? c. What is the allocation maximizing the maxim in-Rawlins SWF? Illustrate graphically. How does the allocation change with preference parameters a1 and a2?