4. Assume wealth w; and assume two goods, 1 and 2, with prices p1 and p2, and Walrasian demands x1 and x2. Complete the empty cells in the following chart: ΤΟ GET THE.. VARY PLOT PLOT FOR... CURVE SLOPES... LEVEL OF... ON Y-AXIS ON Х-АXIS wealth expansion path wealth expansion path Engel curve for 2 demand curve for 1 inferior good 1 both goods normal inferior good 2 w LEAVE ΕMPTY) upward wealth effect of change in Pi on x2 exceeds substitution effect if good offer curve for 1 x2 2 is normal

4. Assume wealth w; and assume two goods, 1 and 2, with prices p1 and p2, and Walrasian demands x1 and x2. Complete the empty cells in the following chart: ΤΟ GET THE.. VARY PLOT PLOT FOR... CURVE SLOPES... LEVEL OF... ON Y-AXIS ON Х-АXIS wealth expansion path wealth expansion path Engel curve for 2 demand curve for 1 inferior good 1 both goods normal inferior good 2 w LEAVE ΕMPTY) upward wealth effect of change in Pi on x2 exceeds substitution effect if good offer curve for 1 x2 2 is normal

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter3: Preferences And Utility

Section: Chapter Questions

Problem 3.9P

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I NEED HELP WITH PART B! (a) A consumer has utility u(x,y,z) = ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pz=1. Optimally she consumes 30 units of z. What is her income? How much money does she spend on x? (HINT: MUx = 1/x, MUy= 2/y, MUz = 3/z and remeber the "equivalent bang for the buck" condition). (b) Forget about (a). Suppose you have t= 29 hours in total to spend on 3 projects X,Y and Z to make some money. If you spend x hours on project X, you make 2 sqrt(x) dollars; If you spend y hours on project Y, you make 3 sqrt(y) dollars; If you spend z hours on project Z, you make 4sqrt(z) dollars; Writing down your "utility function" u(x,y,z) and the constraint, solve the utility maximization problem; what is the optimal amount of time to spend on x? on y? on z?
Let MUA = z = 10 − x and MUB = z = 21 − 2y, where z is marginal utility per dollar measured in utils, x is the amount spent on product A, and y is the amount spent on product B. Assume that the consumer has $10 to spend on A and B—that is, x + y = 10. How is the $10 best allocated between A and B? How much utility will the marginal dollar yield?
A consumer has utility u(x,y,z)= ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pZ = 1 . Optimally sheconsumes 30 units of z. What is her income? How much money does she spend on x?(HINT: MUX =??, MUY =??, MUZ =??and remember the “equivalent bang for the buck” condition)(b) Forget about (a). Suppose you have t = 29 hours in total to spend on 3 projects X, Y and Z to make some money.If you spend x hours on project X, you make 2√? dollars;If you spend y hours on project Y, you make ?√? dollars;If you spend z hours on project Z, you make ?√? dollars;Writing down your “utility function” u(x,y,z) and the constraint, solve the utility maximization problem; what isthe optimal amount of time to spend on x ? on y? on z ?
(a) A consumer has utility u(x,y,z) = ln(x) + 2ln(y) + 3ln(z) over the three goods, x,y and z and pz=1. Optimally she consumes 30 units of z. What is her income? How much money does she spend on x? (HINT: MUx = 1/x, MUy= 2/y, MUz = 3/z and remeber the "equivalent bang for the buck" condition). (b) Forget about (a). Suppose you have t= 29 hours in total to spend on 3 projects X,Y and Z to make some money. If you spend x hours on project X, you make 2 sqrt(x) dollars; If you spend y hours on project Y, you make 3 sqrt(y) dollars; If you spend z hours on project Z, you make 4sqrt(z) dollars; Writing down your "utility function" u(x,y,z) and the constraint, solve the utility maximization problem; what is the optimal amount of time to spend on x? on y? on z?
Eren’s two main hobbies are taking vacations overseas (V) and eating expensivemeals (M). His utility function is given as: U(V,M) = V2MLast year, the average price of taking a vacation overseas was US$200 and the averageprice of an expensive meal is $50. However, due to supply problems in Onions, theaverage price of an expensive meal rose to $75. The average price of a vacation did notchange. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should begiven to Eren to offset his change un utility due to the price increase of an expensivemeal. Calculate the compensative variation (CV).
You found your utility preference given by U (w, d) = w√d where w is your wage, and d is the amountof noise (ie - decibels) you must listen to at your job. Let’s assume you have the option to workat home in silence (where d = 36), in a cubicle office (where d = 64), or in an open-air sharedworkspace (where d = 100). Further assume the economy is in equilibrium, and you do not haveincentive to change jobs.(a) Assuming working at home gives you a wage of $100, what would your wage be working in thecubicle office? In the shared workspace?(b) What is the compensating wage differential between these jobs?(c) Explain why the wage is different in each situation, and give an example of another indus-try/situation with a compensating wage differential.
Suppose there was a debate regarding how to spend $1 billion in newly found revenues in the budget. Suppose the most liberal Democrat suggests an increase to Food Stamp (SNAP) allotments. Suppose the most conservative Republican suggests an increase in defense spending. The Republican says that, on average, military spending does the most good, so more is better. The Democrat is arguing that the extra food purchased by the extra spending will increase well-being the most. What is going on here? A . Both are employing marginal analysis, just from different perspectives. B. Only the Democrat is using marginal analysis. C. Only the Republican is using marginal analysis. D. Neither are using marginal analysis.
please only do: if you can teach explain each partc: what does it mean? can you show graphs: show WARP : If the consumer’s wealth is high enough that both bundles can buy with both prices then WARP violates If the consumer may not be spending all of her wealth, are her choices consistent withthe Weak Axiom of Revealed Preference (or is it impossible to determine)?: If the consumer’s wealth is high enough that both bundles are aordable atboth prices then WARP violates. why? Therefore, it is notpossible to know
i will 10 upvotes urgent Say Anna's utility function is given by UA = MAMM, where MA is Anna's wealth and MM is Marie's wealth. Initially, Anna has 160 units of wealth and Marie has 40. When Anna maximizes her utility, her utility level is equal to: Multiple Choice 10,000. 5,000. 100. 200.
Candance’s general budget constraint for the two goods is a follow: B= PxX + PyY Also, her marginal utilities are: MUx =30X^2Y^3 and MUy =30X^3Y^2 A. Derive the Hicksian demand for good X at these prices. Hint, you need to choosethe three correct equations you’ve derived above and solve simultaneously. Also,draw both demand curves on the same graph.B. Using the information derived in parts A and B, what is the substitution effect andincome effect obtained when changing the price of good X from a value of 1 to avalue of 2.
Let the following table represents the total utility of a given consumer, in the cardinal utility approach. Q 1 2 3 4 5 Tux 8 14 18 20 20 Tuy 6 10 13 15 16 Mux Muy Mux/px Muy/py D) Assuming the consumer has any amount of money (enough budget) how many of X and Y should the consumer buy, to maximize utility? E) What is the total utility of X and Y? F) Let now price of X is 4 birr per unit and price of Y is 2 birr per unit and budget of the consumer for consumption of X and Y is 20 birr. Given budget constraint how many of X and Y should the consumer buy to maximize utility? G) What are the total utility of X and Y
Eren’s two main hobbies are taking vacations overseas (V) and eating expensive meals (M). His utility function is given as: U(V,M) = V^2MLast year, the average price of taking a vacation overseas was US$200 and the average price of an expensive meal is $50. However, due to supply problems in Onions, the average price of an expensive meal rose to $75. The average price of a vacation did not change. His income, which is $1500, did not change. Suppose that the Department of Welfare wants to know how much should be given to Eren to offset his change un utility due to the price increase of an expensive meal. Calculate the compensative variation (CV).