There are three consumers A, B and C. A's utility function is u^ = x; xz,...
There are two consumers on the market: Jim and Donna. Jim’s utility function is U(x, y) = xy. Donna’s utility function is U(x, y) = x 2 y. Income of Jim is mJ = 100 and income of Donna is mD = 150. a) Find optimal baskets of Jim and Donna when price of y is Py = 1 and price of x is P. (PREVIOUSLY POSTED) b) On separate graphs plot Jim’s and Donna’s demand schedule for x for...
Suppose there are two consumers, A and B, and two goods, X, and Y. Consumer A's utility function is given by: Ua(X,Y) = X*Y^3 Consumer B's utility function is given by: Ub (X,Y) = X*Y Marginal Utilities for A: MUx =Y^3 , MUy = 3X*Y^2 Marginal Utilities for B: MUx = Y, MUy = X Initial endowments: Person A has 40 units of good X and 20 units of good Y Person B has 30 units of good x and...
There are two consumers on the market: Jim and Donna. Jim’s utility function is U(x, y) = xy. Donna’s utility function is U(x, y) = x 2 y. Income of Jim is mJ = 100 and income of Donna is mD = 150. a) Find optimal baskets of Jim and Donna when price of y is Py = 1 and price of x is P. (PREVIOUSLY POSTED) b) On separate graphs plot Jim’s and Donna’s demand schedule for x for...
(a) Derive the demand functions for the utility function U=(a)sqrt(x)+(b)sqrt(z) +xz (b) Let a = 2, b = 3, px = 1, pz = 2, and Y = 50. Find the optimal values for x and z.
Q: Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = XY3 UB(X,Y) = X*Y Therefore: For consumer A: MUX = Y3; MUY = 3XY2 For consumer B: MUX = Y; MUY = X The initial endowments are: A: X = 16; Y = 28 B: X = 54; Y = 12 a) Suppose the price of Y, PY = 1. Calculate the price of X, PX that will lead to...
3. (22 total points) Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A is given an initial endowment of 2 units of good X and 3 units of good Y. Consumer B is given an initial endowment of 6 units of good X and 5 units of good Y. Consumer A's utility function is given by: And consumer B's utility function is given by Therefore, consumer A's marginal utilities for each good are...
There are two consumers on the market: Jim and Donna. Jim’s utility function is U(x, y) = xy. Donna’s utility function is U(x, y) = x 2 y. Income of Jim is mJ = 100 and income of Donna is mD = 150. a) Find optimal baskets of Jim and Donna when price of y is Py = 1 and price of x is P. (PREVIOUSLY POSTED) b) On separate graphs plot Jim’s and Donna’s demand schedule for x for...
Suppose your utility function is U (x, y) = 2 ln(2) + 4y c) Given PX - 1. Py = 2, and M =5. Find the elasticity of demand (own-price elasticity) for good x -- is good x ordinary or Giffen? Edit View Insert Format Tools Table 12pt Paragraph B I VART :
2) Assume that utility is given by Utility-U(X,Y)-X03yo7 a) Calculate the ordinary demand functions, indirect utility function, and expenditure function. b) Use the expenditure function calculated in part (a) together with Shephard's lemma to compute the compensated demand function for good X. Use the results from part (b) together with the ordinary demand function for good X to show that the Slutsky equation holds for this case. c) d) Prove that the expenditure function calculated in part (a) is homogeneous...
Consider an economy with two consumers A and B. Consumers A and B have utility functions u(x+x)= Inx;" + Inx, and (x,x) - Inx' +-Inx, respectively. They face prices P, and P, for good 1 and good 2, respectively, and they have incomes “and I°, respectively a) Write formally the economic problem faced by consumer A and derive the demand functions xi (P1, P2,7") and x(P,P2,7^) [6] b) What are consumer B's demand functions for the two goods 1 and...