Question 8.A Frank the armadillo and Claire the ant eater consume ants (z) and termites (y). Frank has 30 ants and 10 termites, while Claire has 10 ants and 30 termites. Frank's utility function is: While Claire's utility function is: 2/3, 1/3 Up (Ir. Mr) - F Uc Find a competitive equilibrium for this economy. 1/3,2/3

Question 8.A Frank the armadillo and Claire the ant eater consume ants (z) and termites (y). Frank has 30 ants and 10 termites, while Claire has 10 ants and 30 termites. Frank's utility function is: While Claire's utility function is: 2/3, 1/3 Up (Ir. Mr) - F Uc Find a competitive equilibrium for this economy. 1/3,2/3

Principles of Microeconomics

7th Edition

ISBN:9781305156050

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter22: Frontiers Of Microeconomics

Section: Chapter Questions

Problem 8PA

See similar textbooks

Similar questions

Assume that the Demand elasticity of a good is -1 and the Supply elasticity is +2. Assume also that (i) that the price of a complement decreases and therefore Demand shifts out by +2% and (ii) because one of the inputs in production declined in price, the Supply shifts by +2%. In partial equilibrium, the % change in the equilibrium price is -2% -1% 0% 1% 2%
Consider a society consisting of just a farmer and a tailor. The farmer has 30 units of food but no clothing. The tailor has 60 units of clothing but no food. Suppose each has the utility function U=Fc, If the price of clothing is always $1, and the food price is currently $1, then we can conclude O the market is at a competitive equilibrium. the price of food will drop towards a contitive equilibrium. the price of food will increase towards a competitive equilibrium. O None of the above..
A two-good economy is in a competitive equilibrium. The price of a piece of candy is $2 andthe price of a desk is $12. The marginal cost of candy is given by MCc = 2Qc and the marginalcost of a desk is MCd = 4 + 4Qd. The current production level of candy is one piece. What is theoutput of desks? A) Qd = 1B) Qd = 2C) Qd = 4D) Qd = 5
Derive a Co 5. Consider a two-consumer economy in which wA = (1,2), wB=(2, 2), u^(x₁,x) = x₁³x₂ and u²(x,x) = x, ³x₂² (a) Illustrate this economy in an Edgeworth box. (b) Derive a competitive equilibrium for this economy. 11_JJ)
Question 10 Which of the following startements about network externalities is CORRECT? Air pollution is an example of a network externality. For a good with network externalities, the number of people who are willing to buy a unit of the good is uniquely determined by the price. Network externalities are always positive. The manufacturer of a new good with network externalities might give away a free version of the good. For a good with network externalities, one person's valuation of the good is always increasing in the number of other people using the good.
Fall 2023/24) Adrienne and Stephen consume pizza, Z, and cola, C. Adrienne's utility function is and Stephen's is Us = (23) 05 (₂) 05 Their endowments are ZA-10, CA = 60, Zg=10, and C=140. What are the competitive equilibrium prices, where one price is normalized to equal one? is S $$ (Enter) UA =ZA CA Determine p, the competitive price of Z, where the price of C is normalized to equal one. Enter your response rounded to two decimal places) The competitive price, p.
1. a) Consider an economy with 3 agents, Mohammed (M), David (D) and Susan (S). There are two goods available, good x, and good y. The marginal rates of substitution (where good x is on the horizontal axis and good y is on the vertical axis) are given by for Mohammed, for David and for Mohammed and David are both consuming twice as much of the good x than good y, while Susan is consuming equal amounts of x and y. What are the conditions for Pareto efficiency in an exchange economy? Are these consumption levels economically efficient? Can these consumption allocations be observed in a perfectly competitive equilibrium in an exchange economy without production? Explain. b. There are two firms in the economy. Each firm employs positive amounts of capital and labour. The technology satisfies diminishing marginal rate of technical substitution of labour for capital. Currently, A’s marginal rate of technical substitution of labour for capital is 4 while B’s marginal rate of technical…
Consider two substitute products; movies and Box Office rentals. With the aid of graphical illustrations, explain why the outcome of a general equilibrium analysis can differ substantially from that of a partial equilibrium analysis, when evaluating the impact of a unit tax on movie tickets.
Competitive general equilibrium Amy(A) and Brian (B) have the following utility function U^A= 2XaYa, U^B= √XbYb Were there endowment of consumption good X and Y are as follows: Xa= 60 Ya = 80 Xd=30 Yb=180 At the endowment point what is the marginal rate of substitution of X for Y for Amy? For Brian? Find the competitive equilibrium price of the goods at which the consumers trade with each other In the competitive equilibrium for each unit of good Y how many units of good X can be exchanged. Find both brian and amy preferred consumption bundles in the equilibrium Is the allocation of resources achieved in part d pareto-optimal? Explain. Draw the edgeworth box that shows all possible allocations and plot the endowment points. Plot the indifferent curves of the two consumers and the contract curve in the edgeworth box as well.
Consider the market for CD players, illustrated in the figure to the right. Suppose there are network externalities in this market such that the quantity of a good demanded grows in response to the growth of purchases by other individuals (as indicated by the demand curve "Demand" in the figure). Suppose that the price is initially $90 where the quantity demanded is 120 (thousand CD players per month). If the price of CD players falls to $50, demand will increase to 180 thousand CD players per month. (Enter your response using an integer.) Of this increase, price effect and thousand units of the 60 thousand-unit increase is the pure thousand units of the increase is the bandwagon effect. C Price 200- 180- 160- 140- 120+ 100- 80- 60- 40- 20- 0+ 0 Doo Demand 20 P150 D60 P120 180 40 60 80 100 120 140 160 180 200 220 CD Players (thousands per month)
2. Consider a two person pure exchange economy with two divisible goods: : a consumer can consume any positive amount of any good The goods are; x1 and x2. The utility function are u' (x1, x2) = x1+Vx2, and u?(x1, x2) = x1 + x2, and the initial endowments are el Pi = 1, compute the competitive equilibrium for this economy. It is to say that you need to find the vector of prices, and allocations that sustain the Walrasian equilibrium. (25, 75) and e? = (75, 25). Assuming
Consider the market for CD players, illustrated in the figure to the right. Suppose there are network externalities in this market such that the quantity of a good demanded grows in response to the growth of purchases by other individuals (as indicated by the demand curve "Demand" in the figure). Suppose that the price is initially $110 where the quantity demanded is 90 (thousand CD players per month). If the price of CD players falls to $50, demand will increase to thousand CD players per month. (Enter your response using an integer.) of this increase, thousand units of the 90 thousand-unit increase is the pure price effect and thousand units of the increase is the bandwagon effect. The bandwagon effect causes the demand for CD players to be more otherwise be the case (without network externalities). ▼than would 200- 180 160 Demand 140 120- 100- 80- 60- 40- 20- 0+ 0 Deo 20 D150 D80 P120 P180 40 60 80 100 120 140 160 180 200 220 CD Players (thousands per month) Q Next