Mutt's utility function is Um,j) max3m,j) and Jeffs utility function is U(m,j)-3m + j. Mutt is...
5. Mutt's utility function is m, )- max( 3m,J) and Jeff's utility function is U(m,j)-2m +j. Mutt is initially endowed with 3 units of milk and 2 units of juice and Jeff is initially endowed with 5 units of milk and 6 units of juice. If we draw an Edgeworth box with milk on the horizontal axis and juice on the vertical axis and if we measure goods for Mutt by the distance from the lower left corner of the...
40. Morris has the utility function U(b, w) 3b +3w and Philip has the utility function U(b, w) - bw, where b is the number of books consumed per month and w is bottles of wine consumed per month. If we draw an Edgeworth box with books on the horizontal axis and wine on the vertical axis and if we measure Morris's consumptions from the lower left corner of the box, then the contract curve contains a. a straight line...
Maurice is characterized by the utility function UMwb, wiehilip by U(bP.wP) -bPwP, where bi, i-M,P denotes the number of books that each of them has and wi the number of bottles of wine, respectively. If the bottom-left comer of the Edgeworth box reflects zero consumption for Maurice and the number of books is measured along the horizontal axis, the contract curve will contairn a) the Edgeworth box diagonal b) a straight segment with a slope of 1 including the bottom-left...
3. Consider a general equilibrium model with two individuals (A and B) and two goods (zi and x2). Consumer A has utility function given by Consumer B has utility function given by Consumer A has endowment: 5and and wr = 2. 6, and Consumer B has endowment: (a) Draw the Edgeworth Box for this economy, where the origin for Consumer A is on the bottom-left corner (QA) and the origin for Consumer B is on the top-right corner (Op). Label...
1. (19 pts) Adrienne and Deepa consume pizza, Z, and cola, C. Adrienne's utility function is UA = ZĄCA and Deepa' s utility function is U = 295c9S. Adrienne' s marginal utility of pizza is MUZ = CA, and her marginal utility of cola is MUS = ZA. Similarly, Deepa' s marginal utility of pizza is MU] =2,05095 and her marginal utility of cola is MUY =2,5c, 0.5. Their initial holdings of pizza and cola are 2A = 10, CA...
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...
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 =...
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 =...
Anne and Bill are left stranded on a desert island with nothing else but some water x and bread y. There are 100 units available of each good. Suppose that initially Anne has all the water and Bill has all the bread. Anne and Bill have different preferences over the consumption of water and bread. Anne’s utility function is ??(?,?)=? raised 2/5 ? raised3/5, and Bill’s utility function is ??(?,?)=? raised 1/4 ? raised3/4. [30 marks] a) [3 marks] Is...
Anne and Bill are left stranded on a desert island with nothing else but some water x and bread y. There are 100 units available of each good. Suppose that initially Anne has all the water and Bill has all the bread. Anne and Bill have different preferences over the consumption of water and bread. Anne’s utility function is ??(?,?)=? raised to 2/5, y raised to 3/5, and Bill’s utility function is ??(?,?)=? raised to 1/4 y raised to3/4 [30...