Question

4. MRSxy= , and budget line 400 = 10x + 20y a. What is the optimal bundle of x and y? Depict this graphically. b. Suppose the
0 0
Add a comment Improve this question Transcribed image text
Answer #1

(E): Demand for Normal good rises as income rises whereas demand for inferior good falls as income rises.

To determine whether the good is normal or inferior, we need to find demand for X:

MRS = Price ratio

\frac{y}{x} = \frac{10}{20} = \frac{1}{2}

This gives: x = 2y -------------------------- (1)

Using (1) in budget, we get:

10x + 20y = 400 = M = income

Dividing budget equation by 10, we get:

x + 2y = M / 10

Using (1): 2y + 2y = M / 10

y = M / 40

x = 2(y) = M / 20

Since x is increasing in M(income), we can conclude that good x is a normal good.

Add a comment
Know the answer?
Add Answer to:
4. MRSxy= , and budget line 400 = 10x + 20y a. What is the optimal...
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) A) Use a budget line and Indifference curve to show an initial optimal consumption bundle...

    1) A) Use a budget line and Indifference curve to show an initial optimal consumption bundle of onions and peppers. Assume onions are normal goods and peppers are inferior goods. Next suppose the price of peppers increases. Graphically Illustrate and explain the income and substitution effects. B) Using the two prices and two quantities of peppers from the previous part of this problem, construct a demand curve. Explain where your numbers are coming from. Also show the income and substitution...

  • Good Y Good X The diagram above shows a budget constraint on Good X and Good...

    Good Y Good X The diagram above shows a budget constraint on Good X and Good Y. Point A is the original optimal bundle. Suppose Good X is an inferior good and the price of Good Y increases, draw the new budget constraint. Would the income effect increase or decrease the consumption on Good Y? Would the substitution effect increase or decrease the consumption on Good Y? If the substitution effect is larger than the income effect, indicate the new...

  • 2. Identifying normal, inferior, and Giffen goods The green line BC, on the following graph represents...

    2. Identifying normal, inferior, and Giffen goods The green line BC, on the following graph represents your initial budget constraint for good X and good Y, and point A represents the optimal consumption choice, given this choice set. Suppose the price of good X dropped by 50%. The compensated budget is parallel to BC2, representing the same tradeoff between good X and good Y, and it is tangent to the given indifference curve (U) at point B. On the following...

  • 1) Consumer Theory (4 points) Liz's annual sports budget is $400, and she spends it attending...

    1) Consumer Theory (4 points) Liz's annual sports budget is $400, and she spends it attending Oakland A's games and Raiders games. A's tickets cost $20 each and Raiders tickets are $50 each. a. Graph Liz's budget constraint. b. Suppose the price of A's tickets decreases to $10. Show the effect on Liz's budget constraint on your graph (be sure to label clearly). C. Analyze the income effect and substitution effect for Liz after the price change. i. Describe the...

  • Jane commutes to work. She can either use public transport or her own car. Her indifference curve...

    Jane commutes to work. She can either use public transport or her own car. Her indifference curves obey the four properties of indifference curves for ordinary goods 1. Draw Jane's budget line (BL,) with car travel on the vertical axis and public transport on the horizontal axis 2. Suppose that Jane consumes some of both goods. Explain how her optimal consumption bundle can be obtained. Then, draw an indifference curve that helps you illustrate that optimal consumption bundle represented by...

  • economics Problem 2 Jon is spending his money on potatoes (R) and all other goods (C)....

    economics Problem 2 Jon is spending his money on potatoes (R) and all other goods (C). Suppose that the price of rice potatoes falls. Determine Jon's optimal consumption bundle using the tangency between his original budget line and one of his indifference curves as well as the consumption bundle after the price change, i.e., using the tangency between his new budget line and one of his indifference curves when 1. Potatoes is a normal good 2. Potatoes is an inferior...

  • 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...

  • only question that is problem is (i) many thanks . Problem 1 [32 marks] A consumer...

    only question that is problem is (i) many thanks . Problem 1 [32 marks] A consumer has a demand function for good 2, X, that depends on the price of good I. P. the price of good 2. Pz, and income, m, given by xy = 2+ +2P. Initially, assume m= 40, P-1, and P = 2. Then the price of good 2 increases to P = 3. a) What is the total change in demand for good 2? [2...

  • 3. Find the optimal bundle for a consumer with $500 budget whose preference is represented by...

    3. Find the optimal bundle for a consumer with $500 budget whose preference is represented by U(m, n) = 2m + 2n when a) Pm = 10, Pn = 20 (5 points) b) Pm = 20, Pn = 10 (5 points) 4. Show income and substitution effect on graph when price of a normal good decreases. (10 points)

  • 7. (4 Points) Describe what the marginal rate of substitution of X for Y (MRSxy) telle...

    7. (4 Points) Describe what the marginal rate of substitution of X for Y (MRSxy) telle us about a consumer's preferences between the two goods. 8. (4 Points) Suppose you have preferences over two goods, bottles of wine (good X) and slices of pizza (good Y). Explain what it means that for the bundle A = (3.15), the MRSxy = 2 9. For this question, use the utility function U(X,Y)= XY. (a) (2 Points) What is the marginal utility of...

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