Economics Suppose Va is a person's willingness to pay for good A,Vb is a person's willingness to pay for good B. Va is uniformly distributed between 0 and 10 across the population, Vb is uniformly distributed between 0 and 15 across the population. There are only two products A and B. Each person buys at most one unit of A. There are altogether N persons in the population (N is a very large number). a) Suppose the company is only allowed to do component pricing. Find an expression for the percentages of population that buys A only, B only, and both. b) Calculate the optimal prices under component pricing. c) Calculate the optimal prices under pure bundling d) Calculate the average consumer surplus under component pricing and under pure bundling.

Economics Suppose Va is a person's willingness to pay for good A,Vb is a person's willingness to pay for good B. Va is uniformly distributed between 0 and 10 across the population, Vb is uniformly distributed between 0 and 15 across the population. There are only two products A and B. Each person buys at most one unit of A. There are altogether N persons in the population (N is a very large number). a) Suppose the company is only allowed to do component pricing. Find an expression for the percentages of population that buys A only, B only, and both. b) Calculate the optimal prices under component pricing. c) Calculate the optimal prices under pure bundling d) Calculate the average consumer surplus under component pricing and under pure bundling.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.1P

See similar textbooks

Similar questions

What are four responses to the claim that people should not behave in the way described in this chapter?
Review the numbers for Canada and Venezuelafrom Table 33.12 which describes how many barrelsof oil and tons of lumber the workers can produce. Usethese numbers to answer the rest of this question.a. Draw a production possibilities frontier for eachcountry. Assume there are 100 workers in eachcountry. Canadians and Venezuelans desire bothoil and lumber. Canadians want at least 2,000tons of lumber. Mark a point on their productionpossibilities where they can get at least 3,000tons.b. Assume that the Canadians specializecompletely because they figured out they havea comparative advantage in lumber. They arewilling to give up 1,000 tons of lumber. Howmuch oil should they ask for in return for thislumber to be as well off as they were with notrade? How much should they ask for if theywant to gain from trading with Venezuela? Note:We can think of this “ask” as the relative price ortrade price of lumber.c. Is the Canadian “ask” you identified in (b) alsobeneficial for Venezuelans? Use the…
It is the morning commute in Congestington, DC. Of 100 drivers, eachdriver is deciding whether to take the toll road or take the back roads. Thetoll for the toll road is $10, while the back roads are free. In deciding ona route, each driver cares only about income, denoted y, and his traveltime, denoted t. If a driver’s final income is y and his travel time is t, thenhis payoff is assumed to be y - t (where we have made the dollar value ofone unit of travel time equal to 1). A driver’s income at the start of the dayis $1,000. If m drivers are on the toll road, the travel time for a driver onthe toll road is assumed to be m (in dollars). In contrast, if m drivers takethe back roads, the travel time for those on the back roads is 2m (again,in dollars). Drivers make simultaneous decisions as to whether to take thetoll road or the back roads.a. Derive each player’s payoff function (i.e., the expression that gives usa player’s payoff as a function of her strategy profile.)b. Find a Nash…
EXERCISE 1Below is a production possibilities table for consumer goods (Food) and capital goods(Robots):A B C D EFood 0 1 2 3 4Robots 10 9 7 4 01. Show these data graphically. Upon what specific assumptions is this productionpossibilities curve based?2. If the economy is at point C, what is the cost of one more food? Of one morerobot? Explain how the production possibilities curve reflects the law ofincreasing opportunity costs.3. If the economy characterized by this production possibilities table and curvewere producing 3 food and 2 robots, what could you conclude about its use ofavailable resources?4. What would production at a point outside the production possibilities curveindicate? What must occur before the economy can attain such a level ofproduction?EXERCISE 2Explain how (if at all) each of the following affects the location of a country’s productionpossibilities curve:1. The quality of education increases.2. The number of unemployed workers increases.3. A new technique…
Brewed coffee is one of the most popular drinks in the world and a big market in Singapore. In recentyears Singaporean consumers have become concerned that coffee farmers often receive very lowprices by large coffee companies buying their beans and selling them in international markets. Forthis reason, fair trade coffee has reached supermarket shelves and coffee shops. Because producingfair trade coffee includes providing extra income for the farmers, this product is more costly to makethan other coffee types of comparable quality. Using the demand-supply model, analyse this changein consumer preferences. Examine the likely consequences in one or two markets of your choice. Limits 500 words
Sue Tom Good A 10 4 Select one: Good B 15 5 As shown in the table above, Sue and Tom each can produce two different types of goods. For Sue, if she only produces Good A, then she can produce 10 units of Good A per day. If she only produces Good B, then she can produce 15 units of Good B per day. For Tom, if he only produces Good A, then she can produce 4 units of Good A per day. If she only produces Good B, then she can produce 5 units of Good B per day. Which of the following statement is correct about comparative advantage? O a. Tom has a comparative advantage over Sue in the production of Good A. Sue has a comparative advantage over Tom in the production of Good B O b. Tom has a comparative advantage over Sue in both tasks O c. Sue has a comparative advantage over Tom in both tasks O d. Sue has a comparative advantage over Tom in the production of Good A. Tom has a comparative advantage over Sue in the production of Good B
o Suppose a u (X,, X)= x" x,** and facer 9 {,x, + P, Xa = M. joud 1 and utility funtion baiget coust ain t functinn for Consumer has a 180 Derive ber damend good Venify that beath functon 2. owe himo qenous
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.
Jay moved from a 1-bedroom apartment to a 2-bedroom home. At first, he was really happy but over time, the house didn't increase his happiness. This is because a. of cultural acculturation. O b. the loss was incorporated into his reference point and became the status quo O c. the gain was incorporated into his reference point and became the status quo O d. of compensatory consumption O e. of conspicuous consumption
why is the market for recycled aluminium good and the market for plastic bad in the US? Depict this with a firm input choice model. I understand that recycled plastic decreases in qualiy everytime it is recycled while aluminium does not and can be recylced without the decrease in quality, but I dont know how to depict this graphically
a) What is the island's maximTwo fields can be planted on Robinson Crusoe's island. Each can be used to grow oranges or apples. If Field A is planted entirely with oranges, it will produce 2 bushels (bu.) of oranges. If A is planted entirely with apples, it will yield 4 bu. of that crop. For Field B, the numbers are reversed: B will produce 4 bu. of oranges if entirely planted with oranges, or it will produce 2 bu. of apples if entirely devoted to that crop. IF A FIELD IS SPLIT BETWEEN THE TWO CROPS, the output of each crop from that field will be proportional to the fraction of the field planted in that crop. For example, if half of B is planted with each crop, then it will produce 2 bu. of oum possible output of oranges? __________ b) Graph your answer in a) on the axes found on the next page and label it point H..(Put oranges on the horizontal axis and apples on the vertical axis) c) What is the island's maximum possible output of apples? __________ d) Graph your answer in c) on the…
Figure 4.2 P3 P2 P1 A C Q Q2 Q3 Q4 Qs Qs Q7 Refer to Figure 4.2. The demand curve A indicates that O the smallcst price change will cause consumcrs to change their consumption by a large amount, O therc is no change in quantity demandcd as the price changes. consumcrs can purchase any quantity they want regardless of the price, Oithc smalcst price incrcasc wil.causc.consuners to switch to the producer with thc lowest