

Q5. Cinderella has a utility function of U- SPS+10S, and a budget function of I =...
Doreen has a utility function U(x, y) = 10x + 5y. The price of good x is $1, and the price of good y is $2. If Doreen's income is $100, how many units of good x would she consume if she chose the bundle that maximizes her utility subject to her budget constraint?
Doreen has a utility function U(x, y) = 10x + 5y. The price of good x is $1, and the price of good y is $2. If Doreen's income is $100, how many units of good y would she consume if she chose the bundle that maximizes her utility subject to her budget constraint?
Sally consumes two goods, X and Y. Her utility function is given by the expression U = 2 · XY ^2 . The current market price for X is $10, while the market price for Y is $12. Sally’s current income is $900. a. Sketch a set of two indifference curves for Sally in her consumption of X and Y. b. Write the expression for Sally’s budget constraint. Graph the budget constraint and determine its slope. c. Determine the X,Y...
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Problem 10. Let an individual's utility function be given as ux,, )-2v,vx, (a) Compute the Marginal Rate of Substitution. b) Initially, the individual consumes bundle 100, 125) Then, the individual's consumption of the first good is cut to x,-50. What is the new, level of consumption of good 2, r, that the individual needs to consume in order to reach the same utility level as before? c) Given the prices p, 1 and p2 for...
The utility function is u = 3x1 + x2, and the budget constraint is m = p1x1 + p2x2. a) What are the demand functions x1(m,p1,p2) and x1(m,p1,p2)? For m=100, p1=4 and p2=1, what are the consumption amounts x1 and x2? b) Assume only p1 changes to p1’=2, define the new consumption values as x1M and x2M. c) Define as uH the utility amount you get from consumption bundle in part a. Find the consumption bundle (x1H,x2H) that gives you...
Question 1 (20 marks) (a) A consumer maximizes utility and has Bernoulli utility function u(w)/2. The consumer has initial wealth w 1000 and faces two potential losses. With probability 0.1, the consumer loses S100, and with probability 0.2, the consumer loses $50. Assume that both losses cannot occur at the same time. What is the most this consumer would be willing to pay for full insurance against these losses? (10 marks) (b) A consumer has utility function u(z, y) In(x)...
- Mordecai consumes only coffee (C) and video games (G), and his utility function is U(C,G)=C1/2G1/2. The price of coffee is p, and the price of video games is 10. Mordecai’s income is m. In this problem, you will find Mordecai’s utility maximizing combination of coffee and video games. a.Suppose m=100 and p=10. How much of each good does Mordecai consume? Draw a graph showing his budget constraint and indifference curve passing through the chosen bundle. (2 points) b.Suppose m=100...
Peter has a utility function U(x, y) = min {2x, y}. The price of good x is $5, and the price of good y is $10. If Peter's income is $200, how many units of good y would he consume if he chose the bundle that maximizes his utility subject to his budget constraint?
Peter has a utility function U(x, y) = min {2x, y}. The price of good x is $5, and the price of good y is $10. If Peter's income is $200, how many units of good x would he consume if he chose the bundle that maximizes his utility subject to his budget constraint?
Question 9 Peter has a utility function U(x, y) = min {2x, y}. The price of good x is $5, and the priče of good y is $10. If Peter's income is $200, how many units of good x would he consume if he chose the bundle that maximizes his utility subject to his budget constraint?