Question

Suppose a consumer's preferences are given by U(X,Y) = X*Y. Therefore the MUX = Y and...

Suppose a consumer's preferences are given by U(X,Y) = X*Y. Therefore the MUX = Y and MUY = X. Suppose the price of good Y is $1 and the consumer has $80 to spend (M = 80).   Sketch the price-consumption curve for the values

PX = $1
PX = $2
PX = $4

To do this, carefully draw the budget constraints associated with each of the prices for good X, and indicate the bundle that the consumer chooses in each case. Also, be sure to label your graph accurately.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
) A consumer's utility function is given by: U(x,y) = 10xy Currently, the prices of goods...
) A consumer's utility function is given by: U(x,y) = 10xy Currently, the prices of goods x and y are $3 and $5, respectively, and the consumer's income is $150 . a. Find the MRS for this consumer for any given bundle (x,y) . b. Find the optimal consumption bundle for this consumer. c. Suppose the price of good x doubles. How much income is required so that the Econ 201 Beomsoo Kim Spring 2018 consumer is able to purchase...
A consumer has preferences represented by the utility function u(x, y) = x^(1/2)*y^(1/2). (This means that...
A consumer has preferences represented by the utility function u(x, y) = x^(1/2)*y^(1/2). (This means that MUx=(1/2)x^(−1/2)*y^(1/2) and MUy =1/2x^(1/2)*y^(−1/2) a. What is the marginal rate of substitution? b. Suppose that the price of good x is 2, and the price of good y is 1. The consumer’s income is 20. What is the optimal quantity of x and y the consumer will choose? c. Suppose the price of good x decreases to 1. The price of good y and...
Suppose a consumer has the utility function U (x, y) = xy + x + y....
Suppose a consumer has the utility function U (x, y) = xy + x + y. Recall that for this function the marginal utilities are given by MUx(x,y) = y+1 and MUy(x,y) = x+1. (a) What is the marginal rate of substitution MRSxy? (b)If the prices for the goods are px =$2 and py =$4,and if the income of the consumer is M = $18, then what is the consumer’s optimal affordable bundle? (c) What if instead the prices are...
Kim’s utility function is given by U = XY. For this utility function, MUx = Y...
Kim’s utility function is given by U = XY. For this utility function, MUx = Y and MUy = X. If good X costs $6, and good Y costs $3, what share of Kim’s utility-maximizing bundle is made up of good X? Of good Y? If the price of good Y rises to $4, what happens to the shares of X and Y in Kim’s utility-maximizing bundle?
A wealthy consumer's preferences are strictly convex and his demand for good X (disinfectant wipes) is...
A wealthy consumer's preferences are strictly convex and his demand for good X (disinfectant wipes) is independent of his income and given by X = 60.9 - 3.7 Px/Py where Px and Py are respectively the price of good X and the price of good Y. Suppose prices are such that the consumer buys 5 units of good X in order to maximize his utility. What is the consumer's marginal rate of substitution (of good X in terms of good...
A consumer's preferences are given by the utility function u=(107)^2+2(x-5)y and the restrictions x>5 and y>0...
A consumer's preferences are given by the utility function u=(107)^2+2(x-5)y and the restrictions x>5 and y>0 are imposed. 1. Write out the Lagrangian function to solve the consumer's choice problem. Use the Lagrangian to derive the first order conditions for the consumer's utility maximizing choice problem. Consider only interior solutions. Show your work. 2. Derive the Optimal consumption bundles x*(px,py,w) and y*(px,py,w) 3. Use the first order condition from 1 to calculate the consumer's marginal utility of income when w=200,...
Suppose that a consumer's preferences are well behaved in that properties 4-1 to 4-4 are satisfied...
Suppose that a consumer's preferences are well behaved in that properties 4-1 to 4-4 are satisfied and the initial equilibrium consumption bundle consists of 100 units of X and 50 units of Y. If PX decreases such that the new equilibrium consumption bundle is 150 units of X and 75 units of Y, then goods X and Y are: substitutes, complements, unrelated, or inferior? Explain your reasoning.
1. Suppose utility for a consumer over food(x) and clothing(y) is represented by u(x,y) = 915xy....
1. Suppose utility for a consumer over food(x) and clothing(y) is represented by u(x,y) = 915xy. Find the optimal values of x and y as a function of the prices px and py with an income level m. px and py are the prices of good x and y respectively. 2. Consider a utility function that represents preferences: u(x,y) = min{80x,40y} Find the optimal values of x and y as a function of the prices px and py with an...
1.Suppose there are two consumers, A and B. The utility functions of each consumer are given...
1.Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = X^1/2*Y^1/2 UB(X,Y) = 3X + 2Y The initial endowments are: A: X = 4; Y = 4 B: X = 4; Y = 12 a) (10 points) Using an Edgeworth Box, graph the initial allocation (label it "W") and draw the indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph carefully and accurately....
Suppose there are two consumers, A and B. The utility functions of each consumer are given...
Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = X2Y UB(X,Y) = X*Y Therefore: For consumer A: MUX = 2XY; MUY = X2 For consumer B: MUX = Y; MUY = X The initial endowments are: A: X = 120; Y = 6 B: X = 30; Y = 14 a) (20 points) Suppose the price of Y, PY = 1. Calculate the price of X, PX that will lead...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT