Assume two consumers A and B with identical preferences over two goods X and Y as shown by the indifference curves I and I but with unequal budget constraints AyAx and ByBx. Points E and EB show their utility maximization equilibrium positions. Assume that the manufacturer of X drops the price of X to half its size to customers buying more than the volume L shown in the graph. Identify how the price discount affects, if at all, the utility maximization purchases of A and B Hint: after level L is reached, the angle by which AyAx and ByBx cut the horizontal axis is half of the size of the

Assume two consumers A and B with identical preferences over two goods X and Y as shown by the indifference curves I and I but with unequal budget constraints AyAx and ByBx. Points E and EB show their utility maximization equilibrium positions. Assume that the manufacturer of X drops the price of X to half its size to customers buying more than the volume L shown in the graph. Identify how the price discount affects, if at all, the utility maximization purchases of A and B Hint: after level L is reached, the angle by which AyAx and ByBx cut the horizontal axis is half of the size of the

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.5P

See similar textbooks

Similar questions

Which among the following is not true?Select one:a. None of the answers are correctb. When marginal utility declines, a higher price is needed to induce the consumer tobuy more of a particular productc. When marginal utility declines, a lower price is needed to induce the consumer tobuy more of a particular productd. All the answers are correcte. Utility maximizing rule and the demand curve are logically consistent
A consumer’s preferences between goods x and y are representedby the utility function u(x, y) = 2min{x, y}+10. Suppose this consumer hasincome of $16, the price of good x is $3 and the price of good y is $1. Suppose the price of good x increases to $7 while the price of good y andthe consumer’s income stay constant. Calculate the magnitudes of the compensating and the equivalent variations. Explain what each measures.
fonsumer's demand xy for two different and the consumer's in come is $72. different Consumer's demand xy for chosen to maximize two the శ్రిందికి goods are x² lefility function The per respectively unit of , and the Consumer's in come is $7 x and y are $3and $4. 22,2 © telrite out the fagrangean for the Constrained maximization problem © Find the utility maximizing demands for both goods and he Larange multiplier, 2 o What is the change in consumer's ufility if income Changes from $72 to $75
I like drinking Smirnoff and Stoli Vodka, but I really only careabout the total amount of alcohol I get out of it. They areperfect substitutes. Smirnoff is sold in liter bottles that are100 proof (that’s 50% alcohol). Stoli is sold in liter bottlesthat are 80 proof (40% alcohol). What is my utility functionfor bundles of these two vodkas? What do my indifferencecurves look like?
a. A consumer is willing to trade 3 units of x for 1 unitof y when she has 6 units of x and 5 units of y. She isalso willing to trade in 6 units of x for 2 units of y whenshe has 12 units of x and 3 units of y. She is indifferentbetween bundle (6, 5) and bundle (12, 3). What is theutility function for goods x and y? Hint: What is theshape of the indifference curve?b. A consumer is willing to trade 4 units of x for 1 unitof y when she is consuming bundle (8, 1). She is alsowilling to trade in 1 unit of x for 2 units of y when sheis consuming bundle (4, 4). She is indifferent betweenthese two bundles. Assuming that the utility function isCobb–Douglas of the form U (x, y) = xα y β, where α andβ are positive constants, what is the utility function forthis consumer?c. Was there a redundancy of information in part (b)? Ifyes, how much is the minimum amount of informationrequired in that question to derive the utility function?
7 Asen tries to minimize his cost of using two goods x subscript 1 end subscript and x subscript 2 end subscript. The price of the first good is BGN 12 and the second good BGN 8. His utility function is x subscript 1 superscript 3 divided by 5 end superscript x subscript 2 superscript 2 divided by 5 end superscript and the utility he will get from using both goods, is 32 units. Find the Hicks quantities demanded and what Assen's minimum budget must be to consume these quantities and obtain the above utility. e-412, h2=21, h1=21 e=416, h2=21, h1=21 e=640, h1=32, h2=32 e=422, h2=21, h1=21 e=378, h2=21, h1=21 e-378, h2=20, h1=20 another answer e-378, h2=24, h1=24
. Consider a consumer with preferences defined over x and y. Demonstrate that it is possible theywould choose to consume some of both commodities when their income is I but would choose toconsume only x when their income is I’ > I. (Remember: if you can draw it without violating anyof the basic assumptions on preferences, it could happen.)
Explain the difference between a positive and a negative network externality. A network externality for a good is positive if O A. the substitution effect of a price change is larger than the income effect, but a network externality is negative if the income effect is larger than the substitution effect. B. consumption by others decreases a typical consumer's marginal utility from consuming the good, but a network extemality is negative if consumption by others increases a typical consumer's marginal utility from the good. c. the price is lower the more people own it, but a network externality is negative if the price is lower the fewer people own it. D. the quantity demanded is higher the more people own it, but a network externality is negative if the quantity demanded is lower the more people own it. O E. it has a complement, but a network effect is negative if it has a substitute. Give an example of each. An example of a positive network externality is the dermand for A. a work of…
1. This question will let you examine/explore a more interesting utility func- tion than the simple example discussed in class as there will be both cross-price elas- ticity and an inferior good. Suppose you are told a consumer has the following utility function: U (9219₂) = 9z+√9z+ 9₂ You should assume income is Y, the price of good r is P2, and the price of good z is P₂. This question will ask about several concepts discussed in lecture. (a) What is the Marshallian demand for goods x and z? I.e. find (qq) for both interior solutions and corner solutions. Note: the outcome is "ugly" for the interior section and both corner should include constraints, i.e. limits using Y relative to f(P, P₂). Hint: if solving using MRS = MRT, can use this information again in part (d). (b) Suppose you are told P₂ = $8 and P₂ = $1. Create a graph showing the Income Consumption Curve (ICC) for Y = {$12.25, $35, $49, $70, $98). Be sure to clearly label the graph. Based on the ICC, which of the goods is…
goods, XandY per of good X is N$4 and the price of good Vis No10 Harrys unlity funchon is UCX,)==XY. Harry consumes 2 and he spend's Npbo month The price Find The values of gocal X and Y maximizes Harcys unly illustruate Hary's utlty maximizing.combinason clearly labelled on a graph. Suppose llustrate Harrys price & spod X increased to Ngb effects income and substitution ef the anel laballed graph.
1. This question will let you examine/explore a more interesting utility func- tion than the simple example discussed in class as there will be both cross-price elas- ticity and an inferior good. Suppose you are told a consumer has the following utility function: U ( 921 9₂) = 9x+√9z+ 9z You should assume income is Y, the price of good r is P2, and the price of good z is P₂. This question will ask about several concepts discussed in lecture. (a) What is the Marshallian demand for goods x and z? L.e. find (qq) for both interior solutions and corner solutions. Note: the outcome is "ugly" for the interior section and both corner should include constraints, i.e. limits using Y relative to f (P, P₂). Hint: if solving using MRS = MRT, can use this information again in part (d).
For normal goodsA) the substitution effect of a price decrease will decrease the quantity of the good demanded while theincome effect of a price decrease will increase the quantity of the good demanded.B) the substitution and income effects of a price decrease will both increase the quantity of the gooddemanded.C) the substitution and income effects of a price decrease will both decrease the quantity of the gooddemanded.D) the substitution effect of a price decrease will increase the quantity of the good demanded while theincome effect of a price decrease will decrease the quantity of the good demanded.