Pure exchange economy with no free disposal. There is also i=.||. el = (2, 8) and ell = (8, 2) Utility function ui: R 2+→ R ul (xI) = (xI,1) 2 + (x1,2) 2 and ull (xII) = max {2xII,1 + xII,2, xII, 1+ 2xII,2} Find Edgeworth-Box Solution (all kinds of allocations needed ind. rational, pareto, weakly pareto, core) -

Consider the pure exchange economy with 2 goods, good 1 and good 2, and two consumers, consumer A and consumer B. Consumer A is initially endowed with 10 units of good 1 and 10 units of good 2. Consumer B is initially endowed with 2 units of good 1 and 2 units of good 2. The consumers have the following utility functions: ua(X1a,X2a)=X1AX2A²; uB(x1B,X2B)=X1B+X2g. Among the prices below, which ones are Walrasian equilibrium prices? O a. p1=3, p2 =2 O b. p1=4, P2 =5 O C. None of the other answers. O d. p1=5, p2 =4 O e. P1=2, p2 =3

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Suppose you find that MU1(X1Xx2)=2x2 and MU₂(x1+x₂)=2x1. What is the rate at which the consumer is willing to trade good 2 for good 1 at bundle (2,4)? (Note: enter a positive number, i.e. enter the quantity of good 2 that the consumer is willing to give up for an additional-marginal-unit of good 1.) Question 20 Suppose you find that the expressions of the marginal utilities for a consumer are given by MU1 (1,2)= 2 and MU₂ (1,2)= 7. Then you can conclude that: This consumer has Cobb-Douglas tastes For this consumer good 1 and good 2 are perfect complements For this consumer good 1 and good 2 are perfect substitutes None of the above Question 21 Suppose a consumer is always willing to give up 5 units of good 2 for an additional unit of good 1. For this consumer: Good 1 and good 2 are perfect complements Good 1 and good 2 are perfect substitutes Good 1 and good 2 are both essential goods None of the above

Knowing that Caesar's preferences over apples (X) and oranges (Y) can be represented by the utility function U = 2X0.5y0.5, select the correct option about the bundles on the graph: ORANGES A D ● B E APPLES Caesar's ranking is, definitely, E>D> C>A-B. Caesar's ranking is, possibly, E> A-B>D>C. O We do not have enough information to know how Caesar ranks these bundles. O A and C might be on the same indifference curve.