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?

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

The letter A in Spanish is pronounced like the A in the English word “apple”. 

Part 2 (60 pts) Answer the following multiple choice questions.

Q1.c. Solve the two conditions to obtain the optimal choices x1* and x2* as functions of p1, p2 and m.

If the frequency of a wave increases:

What wave parameter is indicated by the arrow on the image?

If the area indicated between the dotted lines represents a time of 0.25 seconds, what is the frequency of the wave?

Will the conditional entropy H(Y | X) increase, decrease, or stay the same?

Will the marginal entropy H(Y) increase, decrease, or stay the same?