HomeworkLib
Question

Imagine a representative consumer, whose utility for apples (X) and all other goods (Y) can be...

Imagine a representative consumer, whose utility for apples (X) and all other goods (Y) can be represented in a Cobb-Douglas form. 1. Please graphically represent consumer indifference curves, given prices Px and Py and the budget constraint M. 2. What will happen to consumer utility and optimal bundle if consumer income (budget) increases and apples are a necessity good? Please show graphically and explain the intuition. 3. What will happen to consumer utility and optimal bundle if apple price decreases and apples are an inferior good? Please show graphically and explain the intuition. 4. Finally, explain how you would derive demand curves from point 1 and point 3? Graphically show consumer surplus and compare it for the original scenario, and the one in point 3.

True or False 1. The decisions of consumer and firms in market is the government. 2. According to the Law of Demand, the demand curve for a good will shift rightward when the price of the good increases. 3. The marginal rate of transformation of y for x represents the rate at which the consumer must give up x to get one more y. 4. The substitution effect can be measured holding income constant

business   economics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

0 0
Add a comment
Know the answer?
Add Answer to:
Imagine a representative consumer, whose utility for apples (X) and all other goods (Y) can be...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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

  • Imagine a representative consumer, whose utility for apples (X) and all other goods (Y) can be...

    Imagine a representative consumer, whose utility for apples (X) and all other goods (Y) can be represented in a Cobb-Douglas form. 1) Please graphically represent consumer indifference curves, given prices Px and Py and the budget constraint M. 2) What will happen to consumer utility and optimal bundle if consumer income (budget) increases and apples are a necessity good? Please show graphically and explain the intuition. 3) How would the Engel curve look like for point #2?

  • 1. Suppose a consumer is maximizing utility consuming a bundle apples and bananas x and has...

    1. Suppose a consumer is maximizing utility consuming a bundle apples and bananas x and has standard preferences. Her budget constraint is given by the equation 1000-2a-2b0. Apples are normal goods and bananas are normal. a) plot the optimal bundle, showing the proper indifference curve and budget constraint. Call this bundle x1 b) show the effect of an increase of a single price increase for apples on the budget constraint. Use a hypothetical budget line to identify substitution effects for...

  • Consider the following utility function of 2 goods, x and y: U(x,y)= - [(x-10)2 + (y-10)2];...

    Consider the following utility function of 2 goods, x and y: U(x,y)= - [(x-10)2 + (y-10)2]; x,y≥0 The prices of good x and y is 10 and 20 respectively. The income is denoted by m. a. Draw the indifference curves for the utility function and use arrows to explain in which direction utility increases or decreases. b. Find the consumption bundle that maximizes utility for the consumer. c. Find the Engel curve.

  • Q1. Suppose consumer consumes two goods, X and Y. The price of X is P x...

    Q1. Suppose consumer consumes two goods, X and Y. The price of X is P x , price of Y is P Y and the consumer income is m. a. Derive and interpret the budget constraint and its slope. b. If slope is -3, how will you interpret it? c. Suppose a government wants to discourage the excessive consumption of X and decides to impose a tax t 1 if someone consume more than X 1 but less than X...

  • If pA = $10, PB = $5,Y = $75, where p is the price of a...

    If pA = $10, PB = $5,Y = $75, where p is the price of a good, A and B are goods, and Y is income. Given that the utility function is U = 25A2B, determine the optimal bundle of x and yfor this consumer. Be sure to show your work and box your answers. a) Solve for the marginal utility of A and the marginal utility of B b) Solve for the relationship (trade-off) between A and B c)...

  • Question: Consider a consumer with utility function4, income Z, and who faces market prices of p,...

    Question: Consider a consumer with utility function4, income Z, and who faces market prices of p, and py (a) Use our optimality condition of MRSy MRTay to find the relationship between x and y which must always be satisfied by a bundle that maximizes the consumer's utility (b) After incorporating the consumer's budget to the problem, calculate the consumer's de- mand for x and y which we will call x(P Z) and y(Py, Z), respectively, because it empha- sizes the...

  • Homework 3 Chapter 5: Demand 1. What happens to the amount of x and y consumed...

    Homework 3 Chapter 5: Demand 1. What happens to the amount of x and y consumed when income falls if x and y are normal goods? Draw a budget constraint (before the income decrease) and a convex utility curve that corresponds to the optimal consumption bundle. Draw a new budget constraint (after income falls) and a new convex utility curve that corresponds to the optimal consumption bundle. Has the amount of x and y consumed increased or decreased due to...

  • Imagine you consume two goods, X and Y, and your utility function is U = XY....

    Imagine you consume two goods, X and Y, and your utility function is U = XY. Your budget is $100, the price of Good X is $4, and the price of Good Y is $25. So, the optimal bundle for you to consume is (12.5, 2). Now the price of good X increases to $10. The compensated price bundle is (7.91, 3.16). What is the income effect on X?

  • Question 2. Consider the following 8 bundles of goods x and y: A = (8,4) B...

    Question 2. Consider the following 8 bundles of goods x and y: A = (8,4) B = (5,6) C = (5,9) D = (10,3) E =(1,4) F =(6,5) G=(2,8) H =(7,8) (a) Come up with an example of a utility function that will produce the following order of preference for the bundles, where H is most preferred, A and G are equally preferred, and E is least preferred. H , C , B , F , A = G ,...

  • 2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer   Utility Function C1...

    2. Consider the following four consumers (C1,C2,C3,C4) with the following utility functions: Consumer   Utility Function C1                 u(x,y) = 2x+2y C2                 u(x,y) = x^3/4y^1/4 C3                u(x,y) = min(x,y) C4                u(x,y) = min(4x,3y) On the appropriate graph, draw each consumer’s indifference curves through the following points: (2,2), (4,4), (6,6) and (8,8), AND label the utility level of each curve. Hint: Each grid should have 4 curves on it representing the same preferences but with different utility levels. 3. In the following parts,...

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