Question

04 19 A consumer has the utility function U (91, 92) = 91 92 where A=3 and B=9. The prices are p1=3 and p2=7. The consumer ha
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Maximise U = (q13)(q29)

Subject to P1q1 + P2q2  = Y or 3q1 + 7q2 = 362

Optimal values of q1 and q2 would be :

A Y (A + B) p1 3 x 362 (3+9) 3 362 12

B Y (A + B) p2 9 x 362 (3+9) X 7 3258 84

Considering the engel curve of q1 , we will see

= 0.0833Y (A + B) PI (3+9) 3 - 12

q=0.0833

Add a comment
Know the answer?
Add Answer to:
04 19 A consumer has the utility function U (91, 92) = 91 92 where A=3...
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
  • Problem 2 (30 marks) A consumer has a utility function (11,12)= = = (a) Express the...

    Problem 2 (30 marks) A consumer has a utility function (11,12)= = = (a) Express the consumer's demand for good l as a function of prices and income. (b) Draw an Engel curve for the consumer's demand for good 1 when the prices are given by Pi = 1, and P2 = 1. (c) Draw another Engel curve for the consumer's demand for good 1 when the prices are given by Pi = 1, and p2 = 3. (d) Draw...

  • 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

  • Suppose a consumer has a utility function U(x1, x2) = Inxi + x2. The consumer takes...

    Suppose a consumer has a utility function U(x1, x2) = Inxi + x2. The consumer takes prices (p1 and p2) and income (I) as given. > 1. What is special about P2 1) Find the demand functions for and x2 assuming these demand functions? Are both goods normal? Are these tastes homothetic? 2) Now find the demand functions for x1 and x2 assuming-<1. You probably P2 assumed the opposite above, so now will you find something different. Explain 3) Graph...

  • Suppose a consumer has a utility function U (x1,x2) = Inxi + x2. The consumer takes...

    Suppose a consumer has a utility function U (x1,x2) = Inxi + x2. The consumer takes prices (p1 and p2) and income (I) as given 1) Find the demand functions for x1 and x2 assuming -> 1. What is special about Р2 these demand functions? Are both goods normal? Are these tastes homothetic? <1. You probably P2 2) Now find the demand functions for x1 and x2 assuming assumed the opposite above, so now will you find something different. Explain....

  • Given the following utility function: Where, q1 and q2 are consumer goods and the budget constraint...

    Given the following utility function: Where, q1 and q2 are consumer goods and the budget constraint is given as. With p, and p the prices of the goods and the month the income. Find. 1. The Marshallian Demands for (q1 and 92. 2. The Indirect Utility Function, V (p1, p2, m) 3. The Hicksian Demands for q1 and q2. 4. The Expenditure Function, m (p1, p2, U) U(992)=9, +10 log2 U(992)=9, +10 log2

  • A consumer has preferences represented by the utility function: u(21,12)=x2? Market prices are p1 = 2...

    A consumer has preferences represented by the utility function: u(21,12)=x2? Market prices are p1 = 2 and P2 = 5. The consumer has an income m = 13. Find an expression for the consumer's demand for good 1,21 (P1). 39p1

  • 2. Let U (91, 92) be a utility function that represents a particular individ- ual's preferences...

    2. Let U (91, 92) be a utility function that represents a particular individ- ual's preferences over bundles of strictly positive amounts of each of two commodities. Suppose that this utility function is at least twice continuously differentiable. The indifference curve corresponding to utility level Û for this individual is a graphical representation of the level-set for this utility function that corresponds to utility-level Û. It is formally defined to be U°(41, 42, Ô) = {(91,92 € R$+: U(91,92) =...

  • 3. A consumer has a utility function defined over three goods, U(x1,x2,x3). At a given set...

    3. A consumer has a utility function defined over three goods, U(x1,x2,x3). At a given set of prices and income (p1,p2,p3), a. Can all three goods be necessities b. Can one good be inferior and the other two luxuries c. Find the income elasticity of good 1 if s2 = 0.2, s3 = 0.5, n2 = 2, and n3 = 1, where sj is the budget share of good j and nj is the income elasticity of good j.

  • David consumes two things: gasoline (91) and bread (92). David's utility function is U(41, 92) = 909, 0.5920.5 Let the...

    David consumes two things: gasoline (91) and bread (92). David's utility function is U(41, 92) = 909, 0.5920.5 Let the price of gasoline be py, the price of bread be P2, and income be Y. Derive David's demand curve for gasoline. David's demand for gasoline is qy = . (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a subscript can be created with the character.)

  • Consider a consumer whose utility function is given by U(x, y) = x^1/3 y^2/3, where x...

    Consider a consumer whose utility function is given by U(x, y) = x^1/3 y^2/3, where x and y represent quantities of consumption of two consumer goods. (a) If the consumer’s income is $100 and the prices of x and y are both $1, how should the consumer maximize her utility? What is her maximum level of utility? (b) If the price of y rose to $2, what would be the resulting income and substitution effects? Illustrate your answer.

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
ADVERTISEMENT