Q39. Create your own question according to the information below. Using the budget constraint, Px*X+ Py*Y 1, assume that income is 100 TL. There is a pivoting to outwards which takes us from budget constraint I, to budget constraint I. a) Choose Y, Y3 and X, by yourself. According to these numbers, what will Px and Py be? Y 2 Y% = Y2 = Then, for , what is Px = Py = Then, for , what is Px = Py = X 1

Q39. Create your own question according to the information below. Using the budget constraint, PxX+ PyY 1, assume that income is 100 TL. There is a pivoting to outwards which takes us from budget constraint I, to budget constraint I. a) Choose Y, Y3 and X, by yourself. According to these numbers, what will Px and Py be? Y 2 Y% = Y2 = Then, for , what is Px = Py = Then, for , what is Px = Py = X 1

Principles of Microeconomics

7th Edition

ISBN:9781305156050

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter21: The Theory Of Consumer Choice

Section21.1: The Budget Constraint: What The Consumer Can Afford

Problem 1QQ

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Mrs. Rochester earns $4500 a week and spends her entire income on computers andpastries, since these are the only two items that provide her utility. Furthermore, Mrs.Rochester insists that for every computer she buys, she must also buy a pastry. A) Suppose the price of pastries increases to $20 and income decreases to $3200. Whatis the new algebraic equation for Mrs. Rochester’s budget constraint? Show theimpact of the new budget line relative to the original budget line. B) What would be the new marginal rate of substitution that corresponds to theoptimal consumption choice? Interpret the marginal rate of substitution. D) Assume for this question only that when the price of computers decreases, less ofthat good is demanded. Illustrate the income and substitution effect of this pricedecrease.
a. Suppose Fiona’s income is $100 per week, which she allocates between chocolates and books. Chocolates cost $2 each. Books cost $10 each if she purchases between 1 and 5 books. If she purchases more than 5 books in a week, the price falls to $5 for the 6th book and all subsequent books. Draw the budget constraint. Is it possible that Fiona might have more than one utility-maximizing solution? b. Confirm that if a consumer’s utility function is described by U = 2X + Y, and prices are px = 2 and py = 1, there is no unique utility maximizing solution regardless of income level. What does this tell you about X and Y as commodities? (Hint: draw a graph showing a budget constraint and indifference curve using the information provided.)
4 Assume that a person's utility over two goods is given by U(g1; g2) = g1 + ln g2. The price of good g1 is equal to p1 and the price of good g2 is p2. The total income of the individual is given by I. The marginal rate of substitution between g1 and g2 is given by 1/(1/g2). Then, the expressions for this person's (1) budget constraint, (2) budget line's slope (assume that, graphically, g1 is on the horizontal axis and g2 on the vertical axis), and (3) the person's demand function for g2 (that is, g2 as a function of price ratio) are respectively:
Now suppose Andrew’s income increases by 50%: That is, he has 50% more money to spend than he did before. On the previous graph, use the blue line (circle symbols) to plot Andrew's new budget constraint.
(18 points) Suppose you have $30 and you are going to rent some movies and buy some sodas. Suppose movie rentals are $6.00 each and sodas are $1.00 each. Your original consumption bundle is 3 movies and 12 sodas. Show all calculations. (Hint: put movie rentals on the X axis) (2 points) Draw your budget line showing the different combinations of Movies that you can rent and sodas that you can purchase. (2 points) Suppose that movie rentals turn out to be half off ($3.00). Draw your new budget line on the same graph. (4 points) Draw the income compensated budget line and show the calculation for the income compensated budget line (2 points) Draw an indifference curve tangent to your original budget line at your original purchase point. (2 points) Draw an indifference curve showing where you will purchase at the new prices (6 points) Breakdown the shift from the original point of consumption to the new point of consumption using the income and substitution effects. Please provide a…
Jordan eats two types of fruits – oranges and mangos. He has a budget of $60 to spend on fruits per month. The price of oranges is $4 per bag and that of mangos is $12 per bag. With this information, answer the questions below. Graph Jordan’s budget line by plotting oranges on the horizontal axis and find the slope of his budget line. State the budget equation for Jordan’s consumption of fruits (oranges on the horizontal axis). Suppose the price of oranges has doubled. Show this effect graphically (initial + new budget line) and calculate the slope of the new budget line (oranges on the horizontal axis). Suppose Jordan now reduces the money spent on fruits to $50. Show this budget line change on a graph (oranges on the horizontal axis; price of oranges is $4 and price of mangos is $12). (
Q5. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F. Suppose as Case A, Total income is $120 and per unit prices of Food (F) and Cloth (C) are $2 and $10, respectively. a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e (F*,C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space. d. Now suppose Case B, where assuming if income decreases to $100, holding all else the same, do the same analysis (parts a-c) and contrast your answers to Case A. For part c, you should draw old (Case A) and new (Case B) budget lines/point of optimality.
ASAP!! Suppose the price of product X is Rs.500 and the price of product Y is Rs.1000 and one of a family has Rs.50,000 to spend per month on product X and Y.a. Sketch the household budget constraint.b. Assume that the household splits its income equally between X and Y. Show where the household ends up on the budget constraint.c. Suppose the household income doubles to Rs.100,000. Sketch the new budget constraint facing the household.d. Suppose after the change the household spends Rs.20,000 on Y and Rs.80,000 on X. Does this imply that X is a normal or an inferior good? What about Y?e. Suppose the household income reduced to Rs.25,000. Sketch the new budget constraint facing the household.f. Suppose after the change the household spends Rs.20,000 on Y and Rs.5,000 on X. Does this imply that Y is a normal or an inferior good? What about X?
Question 3 Mrs. Griffiths earns $5000 a week and spends her entire income on dresses and handbags, since these are the only two items that provide her utility. Furthermore, Mrs. Griffiths insists that for every dress she buys, she must also buy a handbag. - What is the algebraic equation for Mrs. Griffiths budget constraint if dresses cost $25 each and handbags cost $14 each? How many of each good will she buy and represent this on a budget line with handbags on the horizontal axis. - Draw an indifference curve showing the optimum choice. Label the optimum as point A. What would be the marginal rate of substitution at the point that corresponds to the optimal consumption choice? Interpret the marginal rate of substitution. - Suppose the price of a dresses increases to $200 and income decreases to $4200. What is the new algebraic equation for Mrs. Griffiths budget constraint? Show the impact of the new budget line relative to the original budget line. - What would be the new marginal…
. Suppose that initially, bread is $2 per loaf,and cake is $2 per slice. Marie Antoinettehas $18 to spend on these items each week.At this income and those prices, Marie consumes 5 loaves of bread and 4 slices of cake.Then, the price of bread DECREASES to$1 per loaf. (The price of cake is still $2.)IF Marie’s budget had also fallen to $13so that she could still just afford her original bundle, she WOULD choose to spendthose $13 on 7 loaves of bread and 3 slicesof cake.But since Marie still has her original $18budget, she actually chooses to buy 4loaves of bread and 7 slices of cake afterthe price change.When the price of bread fell from $2 to $1,what was the substitution effect on Marie’sdemand for bread?
Carol needs to decide how to spend her wealth on fish and chicken. For Carol, 1 lb of fish is equivalent to 2 lb of chicken. Her preferences can be represented by the utility function u(x; y) = 2x + y where x is the quantity of fish (in lbs) and y is the quantity of chicken (in lbs). The consumption set is R2+. a) Suppose now that the price of fish increases to $2 per pound. Draw Carol's budget set, labeling the slope and the intercept points clearly. How much fish and chicken will Carol choose to purchase? b) Suppose that Carol goes to a different supermarket where the price of fish is Px > 0 (in dollars per pound of fish) and the price of chicken is Py > 0 (in dollars per pound of chicken). Find Carol's demand for fish as a function of the prices Px and Py . You can assume that she still has $20 to spend. Assume that the price of chicken is Py = 1. Draw Carol's demand function for fish as a function of the price of fish (Px) in a diagram with the quantity of fish on the…
SOLVE QUESTION B ONLY Suppose that you have an income of $20 to spend on sticky hands and gumballs. Both cost $1.00. a. Solve for the budget constraint in y = mx + b form, using gumballs as your x variable. Graph the budget constraint. Draw an indifference curve such that the optimal consumption bundle is 10 gumballs and 10 sticky hands. b. Suppose that the price of sticky hands falls to 50 cents. Draw the new budget constraint, original budget constraint from a.) and original indifference curve from a.) in a new graph. Draw a new optimal in indifference curve such that gumballs and sticky hands are complements and sticky hands are inferior goods.