2. Individual consumes two consumption items: good \( x \) and good \( y \). The price of good \( x \) is \( p_{x} \), the price of good \( y \) is \( p_{y} \) and consumers have income \( l \). Consumer's utility function is \( u(x, y)=x y^{3} \) a) Is this utility function homothetic? (2 marks)
Added by James E.
Close
Step 1
A utility function is homothetic if it can be represented as a monotonic transformation of a homogeneous function. In simpler terms, if you can multiply all inputs by a constant and the shape of the utility function (or its indifference curves) remains the same Show more…
Show all steps
Your feedback will help us improve your experience
Jennifer Stoner and 69 other Microeconomics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Consumer has the following utility function U (x, y) =x^1/2 × y^1/2, where the price of good x is 1TL per unit, the price of good y is 4TL per unit and consumer’s income is 800 TL. Find the utility maximizing consumption levels of x and y.
Nick J.
A consumer with a utility function u(x, y) = x^(1/3)y^(1/2) has an income of $16 and the price of good x is $2 and the price of good y is $4. Assume that he has to consume all of his income. (a) Write down the utility maximization problem subject to his budget constraint. (b) Write down the First-order conditions for the maximization problem. (c) Determine the solution to this maximization problem.
Sri K.
Assume Matt's utility function is given by u(x1, x2) = (min(x1, x2))^2. The prices of goods 1 and 2 are p1 and p2, respectively, and his income is m. a) What kind of preference does this utility function represent? b) Find the optimal levels of consumption for goods 1 and 2.
Azat N.
Recommended Textbooks
Principles of Economics
Principles of Microeconomics for AP® Courses
Economics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD