Please solve the above questions
Please explain in details while stating the answers (Diagrams and explanation please)
1. Given the two consumers' preferences, and
their initial endowments, a competitive equilibrium allocation
is an allocation where both consumers are maximizing their
respective utilities given their income (value of their endowment)
and competitive equilibrium prices. This can be better understood
using an Edgeworth Box diagram:
In the given Edgeworth box, given the two consumers' preferences, all allocations along the line where price of x = price of y are competitive equilibrium allocations.
2. A Pareto Efficient allocation is an allocation such that no consumer can be made better off without making the other worse off. Generally, the set of Pareto Efficient allocations satisfy the tangency condition of the two consumers' indifference curves and the line passing trough all the Pareto Efficient allocations is called the Contract Curve.
Along the line shown in the figure, the marginal rate of substitution of both consumers is equal. The only way to make either consumer better off is by making the other worse off.
Please solve the above questions Please explain in details while stating the answers (Diagrams and explanation pleas...
Example Consider a society with 2 individuals A and B and 2 goods 1 and 2. The total available amount of good 1 and 2 is 9 units and 12 units. The utility function for the consumers is given by U(x)=(x,1)(x) for i=A,B. a) Show this economy in an Edgeworth box, including indifference curves. b) Define the meaning of the following notions; Pareto- efficient allocation, Pareto set, and contract curve. c) Find and draw the contract curve for this economy....
Pure Exchange Model 1. Consider a Pure Exchange Economy with two agents A and B and two goods X and Y in which each agent acts competitively. Their preferences are given by the following utility function U(X,Y)=X13*Y23 Their initial endowments are as follows W=(5,20) w- (25,10) a) Calculate the demand functions for Good X and Good Y for each agent. b) State the equilibrium conditions for this economy. c) Using these conditions and the demand functions found in part a)...
2. (20) Consider an Edgeworth box economy where the preferences and endow- ments are u" (1, 3) = In:} +2 in x and e' = (0,6) w?(21,2)= x + (23) and e? = (10,4). (a) [4] State the definition of a Pareto optimal allocation. (b) [6] Find all the interior Pareto optimal allocations, using ah, as the pa rameter (that is, express the PO allocations in terms of 2). In this part, you are not required to find the range...
1. (19 pts) Adrienne and Deepa consume pizza, Z, and cola, C. Adrienne's utility function is UA = Z CA and Deepa' s utility function is U = 29.5C9.5. Adrienne's marginal utility of pizza is MUZ = CA, and her marginal utility of cola is MUS = Z . Similarly, Deepa' s marginal utility of pizza is MU} = -2;0.500.5 and her marginal utility of cola is MUS = -2,5050.5. Their initial holdings of pizza and cola are ZA =...
Consider a pure exchange economy two consumers, Rachel and Lauren, and two commodities, watermelon and tomatoes. Rachel’s initial endowment is 4 units of watermelon and 3 units of tomatoes. Lauren’s initial endowment is 2 units of watermelon and 5 units of tomatoes. Rachel and Lauren have identical utility functions: Rachel’s utility is UR(WR,TR) = WRTR where WR and TR is Rachel’s quantity of watermelon and quantity of tomatoes, respectively; similarly, Lauren’s utility is UL(WL,TL) = WLTL where WL and TL...
only need answers e, f, g
1. Oscar and Elmo make up a simple exchange economy where the only goods are books and cookies. Total books 10 Total cookies 5 a) Elmo has 7 books and 2 cookies. Draw the Edgeworth box. Label the endowment with w and how much each person is consuming (or reading) at that point. Also label Elmo's origin (OE) and Oscar's origin (Oo), and label along which axis each good is increasing for each person...
Hi there, I am struggling to understand how to complete these
economics questions and was wondering if you could please explain
in detail how to work them out? Is it possible to please hand write
the answer so I can understand thanks.
1. Consider the following exchange economy. There are two goods Cl and 2) and two consumers (A and B), Preferences and endowements are as follows: UA (XC, A, X2A) = xc, A SCA SCA = (1,1) us (x,...
(a) Put wine x on the horizontal axis and cheese y on the vertical axis. Measure goods for consumer A from the lower left and goods for consumer B from the upper right. Mark the initial allocation with the letter W. Draw the indifference curves for each person through this point. Calculate utility at this allocation for both consumers. Is the initial resource allocation consistent with Pareto efficiency? Explain. (b) Solve for the contract curve of Pareto efficient allocations in...
C1 [19 marks] Suppose Malcolm and Barnaby are the only two people in a pure exchange economy. Food and clothing are the only two commodities. Malcolm is endowed with 30 units of food and 10 units of clothing, while Barnaby is endowed with 10 units of food and 30 units of clothing. Let F = units of food and C = units of clothing. Malcolm’s utility function is UM = 2 min(F, C) and Barnaby’s utility function is UB =...
Please explain in details with step by step solution, Thank you
very much
) Assume a monopolist faces a market demand curve P 100 - 2Q and has the short-run total cost function C 640+20Q. i) What is the profit-maximizing level of output? What is the profits? Graph the marginal revenue, marginal cost, and demand curves, and show the area that (7 Marks) In Question f (i), what would price and output be if the firm priced at socially represents...