Question

Question 2 2 pts Consider the utility function u(x1, x2)= x x Calculate the marginal utility of good 2. 7xx? O 7xx? 7x x 8xx
0 0
Add a comment Improve this question Transcribed image text
Answer #1

U(x1 , x2) = x17x28  

\partialU/\partialx2 = MUx2 = 8x17x28 -1

MUx2 = 8x17x27  

Thus marginal utility for good 2 is

MUx2 = 8x17x27      

Therefore option (iv) is correct.

Add a comment
Know the answer?
Add Answer to:
Question 2 2 pts Consider the utility function u(x1, x2)= x x Calculate the marginal utility...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 1 pts Question 2 A consumer has preferences represented by the utility function: u(x1, x2)= x...

    1 pts Question 2 A consumer has preferences represented by the utility function: u(x1, x2)= x x Market prices are pi = 3 and P2 = 4. The consumer has an income m 30. Find an expression for the consumer's Engel curve for good 1. x1(m). ооо D Question 3 1 pts

  • Consider the utility function: u(x1,x2) = x1 +x2.

    1. Consider the utility function: u(x1,x2) = x1 +x2. Find the corresponding Hicksian demand function 2. For each of the three utility functions below, find the substitution effect, the income effect, and the total effect that result when prices change from p = (2,1) to p' = (2,4). Assume the consumer has income I = 20. (a) Before doing any calculation, make an educated guess about the relative magnitude of the three substitution effects and the three income effects to be found below. (b)...

  • Question 7: Consider a utility function u(X1 , X) = 2X1 + X2. 1. What is...

    Question 7: Consider a utility function u(X1 , X) = 2X1 + X2. 1. What is the optimal bundle withp and income m? 2. What is the optimal bundle with p6,3, and income 30?

  • Q1. Sam consumes two goods x1 and x2. Her utility function can be written as U(x1,x2)=x...

    Q1. Sam consumes two goods x1 and x2. Her utility function can be written as U(x1,x2)=x 1raised to 2/3 and x 2 raised to 1/5 ⁄. Suppose the price of good x1 is P1, and the price of good x2 is P2. Sam’s income is m. [20 marks] a) [10 marks] Derive Sam’s Marshallian demand for each good. b) [5 marks] Derive her expenditure function using indirect utility function. c) [5 marks] Use part c) to calculate Hicksian demand function...

  • 6. Consider a consumer with the utility function u(x1,x2) = In(x) x2 and the budget constraint...

    6. Consider a consumer with the utility function u(x1,x2) = In(x) x2 and the budget constraint px + p2x2 = m. Derive the consumer's demand functions for x1 and x2. (25 marks)

  • Robin has the utility function U ( x1 , x2)= 1/ 5 ln ( x1 )+...

    Robin has the utility function U ( x1 , x2)= 1/ 5 ln ( x1 )+ 4 /5 ln ( x2 ) . a) Set up the Lagrangian and derive an expression for the marginal rate of substitution and calculate the Marshallian demand for both goods. b) What will happen to Robin’s share of expenditures on good x1 if the price of good one, p1 , increases. Verify your conclusion formally!

  • 13. Consider an individual with a utility function U = min{3x,, x} where x1 and x2...

    13. Consider an individual with a utility function U = min{3x,, x} where x1 and x2 are the quantities of goods 1 and 2 consumed, respectively. If the prices of good 1 is $5 and the price of good 2 is $5 and the consumer's income is $60, how much of goods 1 and 2 does she buy? a. x, = 4, x, = 4 b. x, = 6,X, = 3 c. x, = 8, x, = 2 d. x,...

  • Consider two goods, good 1 and good 2. The consumer’s utility function is given by U(x1,x2)=V(x1)+x2....

    Consider two goods, good 1 and good 2. The consumer’s utility function is given by U(x1,x2)=V(x1)+x2. Derive the ordinary demand function of good 1. When the market price of good 1 is given P1=P1' , derive the consumer’s surplus. If the price is changed to P1=P1", prove that the change measured by consumer’s surplus is the same as the Compensating variation. Also prove that it is the same as Equivalent variation.

  • Question 1 (20 points). The utility function of the consumer is u(x1, x2) = x1 +...

    Question 1 (20 points). The utility function of the consumer is u(x1, x2) = x1 + x2. a) Let pı = 2 ,P2 = 20 and m = 24. Calculate the optimal quantity demanded of good 1 and 2. (7 points) b) Let p1 = 1,P2 = 4 and m = 100. Calculate the optimal quantity demanded of good 1 and 2. (6 points) c) Let P1 = 1, p2 = 4 and m = 4. Compared to point b),...

  • Nathan’s utility function is U(x1, x2) = lnx1 + x2. If the price of good 1...

    Nathan’s utility function is U(x1, x2) = lnx1 + x2. If the price of good 1 is $1, the price of good 2 is $5, and his income is $100, how many units of good 1 (x1) and good 2 (x2) will Nathan consume?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT