Noah Doe consumes two goods, X and Y. Noah has a utility function given by the...
Janice Doe consumes two goods, X and Y. Janice has a utility function given by the expression:
2. Janice consumes two goods, X and Y. Janice has a utility function given by the expression: U = 4x0.5y 0.5 The current prices of X and Y are $25 and $50, respectively. Janice currently has an income of $750 per time period (Put X on the horizontal axis and Y on the vertical axis). a) Is the assumption that "more is better” satisfied for both goods? b) Calculate MRSxy. Determine if it is diminishing for this utility function. c)...
Question 1: Colin's utility function for goods X and Y is represented by U(XY) = X0.5Y0.5 . Assume his income is $1000 and the prices of X and Y are $50 and S100, respectively. a. Write an expression for Colin's budget constraint. b. Calculate the optimal quantities of X and Y that Colin should choose, given his budget constraint. Graph your answer. Suppose that government subsidy program lowers the price of Y from $100 per unit to $ 50 per...
Sally consumes two goods, X and Y. Her utility function is given by the expression U = 2 · XY ^2 . The current market price for X is $10, while the market price for Y is $12. Sally’s current income is $900. a. Sketch a set of two indifference curves for Sally in her consumption of X and Y. b. Write the expression for Sally’s budget constraint. Graph the budget constraint and determine its slope. c. Determine the X,Y...
3) Sally consumes two goods, X and Y. Her utility function is given by the expression U = 3 · XY2. The current market price for X is $10, while the market price for Y is $5. Sally's current income is $500. a. Sketch a set of two indifference curves for Sally in her consumption of X and Y. b. Write the expression for Sally's budget constraint. Graph the budget constraint and determine its slope. c. Determine the X, Y...
Sally consumes two goods, X and Y. Her preferences over consumption bundles are repre- sented by the utility function r, y)- .5,2 where denotes the quantity of good X and y denotes the quantity of good Y. The current market price for X is px 10 while the market price for Y is Pr = $5. Sally's current income is $500. (a) Write the expression for Sally's budget constraint. (1 point) (b) Find the optimal consumption bundle that Sally will...
) John consumes two goods, X and Y. The marginal utility of X and the marginal utility of Y satisfy the following equations: MUX = Y MUY = X. The price of X is $9, and the price of Y is $12. a. Write an expression for Johnʹs MRS. b. What is the optimal mix between X and Y in Johnʹs market basket? c. John is currently consuming 15 X and 10 Y per time period. Is he consuming an...
Marta consumes only goods X and Y and faces the following utility function: U=7 X+4 Y. The marginal utility for X is MUX=7 and the marginal utility for Y is MUY=4 . The price of X is $10 and the price of Y is $50. Marta has an initial budget of $200. How many of X and Y will Marta buy given her utility function, her budget, and the prices? X= Y= Suppose that the government places a restriction on X...
Caleb consumes only two goods, X and Y, and faces the following utility function: U=XY. His initial budget is $800, and the prices of X and Y are $12.5 and $2. What is the marginal utility for X? What is the marginal utility for Y? **Most answers should be round numbers. Answer everything to 1 decimal place, if need be** What are the amounts of X and Y that will maximize Caleb's utility? X = Y = How many X...
(10 Question 1: marks) Given is the Total Utility Function along with Budget Constraint: Utility Function: U (X, Y) = X°.270.3 Budget Constraint: I = XP, + YP, a. What is the consumer's marginal utility for X and for Y? b. Suppose the price of X is equal to 4 and the price of Y equal to 6. What is the utility maximizing proportion of X and Y in his consumption? {construct the budget constraint) c. If the total amount...