Question

The following data pertain to products A and B, both of which are purchased by Madame X. Initially, the prices of the pr...

The following data pertain to products A and B, both of which are purchased by Madame X. Initially, the prices of the products and quantities consumed are:

PA = $10, QA = 3, PB = $10, QB = 7.

Madame X has $100 to spend per time period. After a reduction in price of B, the prices and quantities consumed are:

PA = $10, QA = 2.5, PB = $5, QB = 15.

Assume that Madame X maximizes utility under both price conditions above. Also, note that if after the price reduction enough income were taken away from Madame X to put her back on the original indifference curve, she would consume this combination of A and B:

QA = 1.5, QB = 9

a. Determine the change in consumption rate of good B due to (1) the substitution effect and (2) the income effect. b. Determine if product B is a normal, inferior, or Giffen good. Explain.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

A) total change in Consumption of Good B= 15-7 = 8

So total effect = 8

Now, substitution effect is found , utility level is kept constant, & we move along the original IC only

So SE = 9-7 = 2

As TE = SE + IE

so IE = 8-2 = 6

b) now as price of good B falls, then consumption of Good B rises , hence product B is normal (ordinary) good.

Add a comment
Know the answer?
Add Answer to:
The following data pertain to products A and B, both of which are purchased by Madame X. Initially, the prices of the pr...
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
  • The following data pertain to products A and B, both of which are purchased by Madame...

    The following data pertain to products A and B, both of which are purchased by Madame X. Initially, the prices of the products and quantities consumed are: PA = $8, QA = 5, PB = $6, QB = 10 Madame X has $100 to spend per time period. After a reduction in the price of B, the prices and quantities consumed are: PA = $8, QA = 4, PB = $9, QB = 7.5 Assume that Madame X maximizes utility...

  • Section B. Short Answer Question (2 questions, 20 points each) Question 1 (20 pts) The following...

    Section B. Short Answer Question (2 questions, 20 points each) Question 1 (20 pts) The following data pertain to products A and B, both of which are purchased by Emily. Emily has $105 to spend per time period. Initially, the prices of the products are PA $5, PB $10. And Emily's optimal consumption bundle is O1 {QA = 5, QB- 8}. 1.1) What is Emily's marginal rate of substitution when she consumes the bundle O1, i.e., ΔΑ MUB MRS MUA...

  • 7. Consider the figure below, which shows the budget constraint and the indifference curves of good...

    7. Consider the figure below, which shows the budget constraint and the indifference curves of good King Zog. Zog is in equilibrium with an income of s300, facing prices px 4 and py sio 30 22.5 0 35 43 75 90 a. How much X does Zog consume? b. If the price of X falls to s2.50, while income and the price of Y stay constant, how much X will Zog consume? c. How much income must be taken away...

  • 1. Which of the following claims is true at each point along a price-consumption curve? A)...

    1. Which of the following claims is true at each point along a price-consumption curve? A) Utility is maximized but income is not all spent. B) All income is spent, but utility is not maximized. C) Utility is maximized, and all income is spent. D) The level of utility is constant. 2.  Consider a graph on which one good Y is on the vertical axis and the only other good X is on the horizontal axis.  On this graph the income-consumption curve...

  • 27. If consumers' income increases by one dollar and consumers consume both food and non-food, a....

    27. If consumers' income increases by one dollar and consumers consume both food and non-food, a. spending on food consumption will always increase. b. spending on food consumption will increase but by less than one dollar if both food and non- food are normal goods. c. spending on food consumption will increase only if non-food is inferior good. d. spending on food consumption will increase only if non-food is normal good. 28. A reduction in the price of good A...

  • 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...

  • Question 2 A consumer purchases two goods, food (x) and clothing (y).  He has the utility function...

    Question 2 A consumer purchases two goods, food (x) and clothing (y).  He has the utility function U(X,Y) = XY, where X and Y denote amounts of X and Y consumed. Marginal utilities of X and Y are MUx = y and MUy = x.  The consumer’s income is $72 per week and that the price of y is Py = $1 per unit and price of x is Px1 = $9 per unit.   What are his initial quantities of X and...

  • 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...

  • please answer both(b)and(d) thank you 3. Nick enjoys having soda (a) with his cheese pizza (c):...

    please answer both(b)and(d) thank you 3. Nick enjoys having soda (a) with his cheese pizza (c): his preferences are represented by the utility function u(a,c) = min(a, 2e) (a) Suppose Nick has 10 slices of cheese pizza (e), how many sodas must he consume in order to have a utility of 40? (2 points) U=40. (=10. - 4020 & 40=22 (b) Setup Nick's utility maximization problem. Solve for his optimal levels of pizza and soda as functions of prices a"...

  • A consumer has a demand function for good 2, ?2, that depends on the price of...

    A consumer has a demand function for good 2, ?2, that depends on the price of good 1, ?1, the price of good 2, ?2, and income, ?, given by ?2 = 2 + 240 + 2?1. Initially, assume ? = ??2 40, ?2 = 1, and ?1 = 2. Then the price of good 2 increases to ?2′ = 3. a) What is the total change in demand for good 2? [2 marks] b) Calculate the amount of good...

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