The diagram above shows Gisela’s indifference curves for housing and all other goods. Which of the following statements regarding Gisela’s preferences and utility function is true?

In what situations will the tangency condition be sufficient for utility maximization? The tangency condition means the budget line is tangent to the indifference curve. A condition is sufficient if that condition by itself ensures that utility is being maximized.

Q1 (25 pts) There are two goods, x1 and x2. Respective prices for each good are p1 and p2. Consumer income is m. The utility function of the consumer is: u(x1,x2) = x13x27

Consider the quasilinear utility function Assuming an interior optimum, find the demand function for y:

Complete the sentence the correct present tense form of ESTAR. Y tú, ¿cómo ?

Yulia finds that her enjoyment of pizza (x1) is greater when she has more soda (x2) to consume. Which of the following utility functions reflects Yulia’s preferences to the extent that her enjoyment of pizza is dependent on the amount of soda that she consumes?

Q2.d. What is the income elasticity of good x1?

If the frequency of the beam increases, the propagation speed in the media will _______________.

Which of the following lists the correct equation for duty factor?

You are clustering a collection of 10,000 news articles based on their TF-IDF (term frequency-inverse document frequency) vectors, resulting in a sparse, high-dimensional representation of the documents. You are using K-Means and GMMs to identify thematic clusters such as sports, politics, and technology. Which of the following statements are true in this context?