Question

A consumer buys two goods, good X and a composite good Y. The utility function is...

A consumer buys two goods, good X and a composite good Y. The utility function is given as U(X, Y) = 2X1/2+Y.

The demand function for good X is X = (Py/Px)2. (Edit: The price of X is Px, the price of Y is Py.)

Suppose that initially Px=$0.5 and then it falls and becomes Px=$0.2

Calculate the substitution effect, income effect, and the price effect and show the answer graphically.

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A consumer buys two goods, good X and a composite good Y. The utility function is...
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
  • A consumer buys two goods, good X and a composite good Y. The utility function is...

    A consumer buys two goods, good X and a composite good Y. The utility function is given as U(X,Y) = In3XY. The price of X is Py, the price of Y is Py and Income is I. 1) Derive the demand equation for good X. ( 5 marks) 2) Are the two goods X and Y complements or substitutes? Why? ( 5 marks) 3) Suppose that I=$10 and suppose that initially the Px = $1 and subsequently Px falls and...

  • A consumer buys two goods, good X and a composite good Y. The utility function is...

    A consumer buys two goods, good X and a composite good Y. The utility function is given as ?(?,?) = ? + ?√? .    1) Derive the demand function for good X.(5 marks) 2) Is good X a normal or an inferior good? Why? ( 5 marks) 3) Suppose that initially ?? = $1 and then it falls and becomes ?? = $0.5. Also suppose that Income=$10. Calculate the substitution effect, income effect, and the price effect and show...

  • py = $1 ACE Problem 1 (25 marks) BI LET A consumer buys two goods, good...

    py = $1 ACE Problem 1 (25 marks) BI LET A consumer buys two goods, good X and a composite good Y. The utility function is given as ELLE DEMO U(X,Y) = XY + X. 1=$10 Px = $0.5 Where I is income level, Px is the price of good X EL ele 1) Find the optimal basket that maximizes utility and calculate its corresponding utility level.(5 marks) 2) Show your answer for Questions (1) on a graph. ( 5...

  • Suppose James derives utility from two goods {x,y}, characterised by the following utility function: $u(x, y)...

    Suppose James derives utility from two goods {x,y}, characterised by the following utility function: $u(x, y) = 2sqrt{x} + y$: his wealth is w = 10 let py = 1: (a) What is his optimal basket if px = 0.50? What is her utility? (b) What is his optimal basket and utility if px = 0.20? (c) Find the substitution effect and the income effect associated with the price change. (d) What is the change in consumer surplus? Suppose Linda...

  • A consumer has the utility function over goods X and Y, U(X; Y) = X1/3Y1/2 Let...

    A consumer has the utility function over goods X and Y, U(X; Y) = X1/3Y1/2 Let the price of good x be given by Px, let the price of good y be given by Py, and let income be given by I. Derive the consumer’s generalized demand function for good X. Solve for the Marshallian Demand for X and Y using Px, and Py (there are no numbers—use the notation). c. Is good Y normal or inferior? Explain precisely.

  • 7. A consumer has the following utility function for goods X and Y: U(X,Y) 5XY3 +10...

    7. A consumer has the following utility function for goods X and Y: U(X,Y) 5XY3 +10 The consumer faces prices of goods X and Y given by px and py and has an income given by I. (5 marks) Solve for the Demand Equations, X (px,py,I) and Y*(px,py,I) a. b. (5 marks) Calculate the income, own-price and cross-price elasticities of demand for X and Y

  • Suppose a consumer had a utility function given by: U=X^0.5*Y^0.2. If the price of Good X...

    Suppose a consumer had a utility function given by: U=X^0.5*Y^0.2. If the price of Good X (Px) is $10 and the price of Good Y is $2 then what is the utility maximizing quantity of Good Y the consumer will purchase with a budget of $98 (Round to the nearest two decimal places if necessary.)

  • Suppose a consumer’s utility function is given by U(X,Y) = X*Y. Also, the consumer has $180...

    Suppose a consumer’s utility function is given by U(X,Y) = X*Y. Also, the consumer has $180 to spend, and the price of X, PX = 4.50, and the price of Y, PY = 2 a. How much X and Y should the consumer purchase in order to maximize her utility? b. How much total utility does the consumer receive? c. Now suppose PX decreases to 2. What is the new bundle of X and Y that the consumer will demand?...

  • 1. Suppose a consumer has the utility function over goods x and y u(x, y) =...

    1. Suppose a consumer has the utility function over goods x and y u(x, y) = 3x}}} (a) Setup the utility maximization problem for this consumer using the general budget con- straint. (2 points) (b) Will the constraint be active/binding? Is the sufficient condition for interior solution satisfied? Prove your answers. (4 points) (c) Solve the utility maximization problem for the Marshallian demand equations x (Px, py,m) and y* (Px, Py,m). Show all of your work and circle your final...

  • The utility function is given by U(x, y) = xy2 . (a) Write out the demand...

    The utility function is given by U(x, y) = xy2 . (a) Write out the demand functions for goods x and y in terms of I, px, and py. (b) What is the maximum utility the consumer can achieve as a function of I, px, and py?   (c) What is the minimum the consumer needs to spend to achieve a level of utility U as a function of px, and py?   (d) The initial income is $576, initial prices are...

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