Question

Consider the utility function U(x,y) = xy Income is I=400, and prices are initially px =10...

Consider the utility function U(x,y) = xy Income is I=400, and prices are initially
px =10 and py =10.
(a) Find the optimal consumption choices of x and y.
(b) The price of x changes, to px =40, while the price of y remains the same. What are
the new optimal consumption choices for x and y?
(c) What is the substitution effect?
(d) What is the income effect?

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
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...
Consider the utility function U ( x,y ) = min { x , 2y }. (a)...
Consider the utility function U ( x,y ) = min { x , 2y }. (a) Find the optimal consumption choices of x and y when I=50, px=10, and py=5. (b) The formula for own-price elasticity of x is εx,px = (−2px/2px + py) For these specific values of income, prices, x and y, what is the own-price elasticity? What does this value tell us about x? (c) The formula for cross-price elasticity of x is εx,py = (py/2px +...
Given the following utility function and budget contraints: U(X,Y) = XY I = Px (X) +...
Given the following utility function and budget contraints: U(X,Y) = XY I = Px (X) + Py(Y) and given that: Py = 10 , Px=12 and I = 360 Fill in the blanks in the following table (round to two decimal places): Part 1:     What is the Value of Qx? Part 2:     What is the Value of Qy? Part 3:     What is the Optimal level of utility?
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...
Jane’s utility function has the following form: U(x,y)=x^2 +2xy The prices of x and y are...
Jane’s utility function has the following form: U(x,y)=x^2 +2xy The prices of x and y are px and py respectively. Jane’s income is I. (a) Find the Marshallian demands for x and y and the indirect utility function. (b) Without solving the cost minimization problem, recover the Hicksian demands for x and y and the expenditure function from the Marshallian demands and the indirect utility function. (c) Write down the Slutsky equation determining the effect of a change in px...
Consider a consumer whose utility function is u(x, y) = x + y (perfect substitutes) a....
Consider a consumer whose utility function is u(x, y) = x + y (perfect substitutes) a. Assume the consumer has income $120 and initially faces the prices px = $1 and py = $2. How much x and y would they buy? b. Next, suppose the price of x were to increase to $4. How much would they buy now?    c. Decompose the total effect of the price change on demand for x into the substitution effect and the...
4.   Consider an individual making choices over two goods, x and y with prices px =...
4.   Consider an individual making choices over two goods, x and y with prices px = 3 and py = 4, and who has income I = $120 and her preferences can be represented by the utility function U(x; y) = x2y2.  Suppose the government imposes a sales tax of $1 per unit on good x: ( Hint: You need to find the initial, final, and hypothetical optimal consumption bundles, their corresponding maximized utility levels and/or minimized expenditure and compare. )...
Consider a consumer with the utility function U(x, y) = min(3x, 5y). The prices of the...
Consider a consumer with the utility function U(x, y) = min(3x, 5y). The prices of the two goods are Px = $5 and Py = $10, and the consumer’s income is $220. Illustrate the indifference curves then determine and illustrate on the graph the optimum consumption basket. Comment on the types of goods x and y represent and on the optimum solution.
Suppose Rajesh has a utility function resulting in an MRS = Y / X (from U...
Suppose Rajesh has a utility function resulting in an MRS = Y / X (from U = √XY) and he has an income of $240 (i.e. M = 240). Suppose he faces prices PX = 8 and PY = 10. If the price of good Y goes down to PY = 8, while everything else remains the same, find Rajesh’s compensating variation (CV). The answer is CV = -25.34, please show your work
An agent has preferences for goods X and Y represented by the utility function U(X,Y) =...
An agent has preferences for goods X and Y represented by the utility function U(X,Y) = X +3Y the price of good X is Px= 20, the price of good Y is Py= 40, and her income isI = 400 Choose the quantities of X and Y which, for the given prices and income, maximize her utility.